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Journal articles on the topic 'Stochastic disturbance'

Author: Grafiati

Published: 30 May 2022

Last updated: 31 July 2025

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1

Pan, Yanpeng. "Stochastic disturbance observer-based adaptive anti-disturbance control for non-linear systems with stochastic non-harmonic multiple disturbances." Transactions of the Institute of Measurement and Control 40, no. 10 (2017): 3222–31. http://dx.doi.org/10.1177/0142331217718051.

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In this paper, the problem of anti-disturbance control is studied for non-linear systems with stochastic multiple disturbances. The multiple disturbances include two types: one is the stochastic harmonic disturbance and the other non-harmonic noise generated by a linear stochastic exogenous system. An adaptive stochastic disturbance observer (ASDO) is constructed to estimate both the two aforementioned disturbances. Combining the disturbance estimation with a conventional state feedback control law, a composite anti-disturbance control scheme is constructed such that the closed-loop system is

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2

Sun, Shixiang, Xinjiang Wei, and Huifeng Zhang. "Composite hierarchical anti-disturbance control for stochastic systems with multiple disturbances." Transactions of the Institute of Measurement and Control 40, no. 6 (2017): 1950–55. http://dx.doi.org/10.1177/0142331217695385.

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A class of stochastic systems with multiple disturbances, which includes white noises and disturbances whose time derivative is bounded, is considered in this paper. To estimate the unknown bounded disturbance, a stochastic disturbance observer is proposed. Based on the observer, a disturbance observer-based disturbance control scheme is constructed such that the composite closed-loop system is asymptotically bounded. Finally, a simulation example is given to demonstrate the feasibility and effectiveness of the proposed scheme.

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Poznyak, Alexander, Hussain Alazki, Hisham M. Soliman, and Razzaqul Ahshan. "Ellipsoidal Design of Robust Stabilization of Power Systems Exposed to a Cycle of Lightning Surges Modeled by Continuous-Time Markov Jumps." Energies 16, no. 1 (2022): 414. http://dx.doi.org/10.3390/en16010414.

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Power system stability is greatly affected by two types of stochastic or random disturbances: (1) topological and (2) parametric. The topological stochastic disturbances due to line faults caused by a series of lightning strikes (associated with circuit breaker, C.B., opening, and auto-reclosing) are modeled in this paper as continuous-time Markov jumps. Additionally, the stochastic parameter changes e.g., the line reactance, are influenced by the phase separation, which in turn depends on the stochastic wind speed. This is modeled as a stochastic disturbance. In this manuscript, the impact of

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Dong, Lewei, Xinjiang Wei, and Huifeng Zhang. "Anti-disturbance control based on nonlinear disturbance observer for a class of stochastic systems." Transactions of the Institute of Measurement and Control 41, no. 6 (2018): 1665–75. http://dx.doi.org/10.1177/0142331218787608.

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In engineering, there exist lots of nonlinear disturbance dynamics, which can be described by nonlinear exogenous systems. The current stochastic linear disturbance observer is conservative and is not applicable for nonlinear disturbance dynamics. This paper studies a class of stochastic systems with multiple disturbances, including white noise and disturbances modelled by a nonlinear exogenous system. To estimate the disturbance with nonlinear dynamics, a stochastic nonlinear disturbance observer is proposed. Based on the observer, a nonlinear disturbance observer-based disturbance attenuatio

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Li, Yichao, and Chunqing Huang. "Online Performance Monitoring of Processes Subject to Non-stationary Stochastic Disturbance." Journal of Physics: Conference Series 2173, no. 1 (2022): 012052. http://dx.doi.org/10.1088/1742-6596/2173/1/012052.

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Abstract Since non-stationary disturbances are common in practical situation due to the varying stochastic disturbance or some deterministic disturbance injected, the traditional algorithm based on FCOR is not valid anymore. This paper develop a new approach, which combines EMD method with FCOR algorithm, to handle this problem such that the minimum variance (MV) performance of the closed-loop system can be monitored online. In the presence of varying stochastic disturbance and step/sine disturbance, the numerical example demonstrates the effectiveness of the proposed algorithm.

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Li, Yuanyuan, and Yunliang Wei. "Composite control with observers for a class of stochastic systems with multiple disturbances." Discrete and Continuous Dynamical Systems - S 15, no. 7 (2022): 1859. http://dx.doi.org/10.3934/dcdss.2022019.

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<p style='text-indent:20px;'>In this paper, the composite anti-disturbances control problem is considered for a class of stochastic systems with multiple disturbances. The states of the system are assumed to be unavailable. A state observer and a disturbance observer are constructed to estimate the states and the matched disturbance respectively. Based on the estimated values of state observer and disturbance observer, a non-fragile composite controller is designed to achieve disturbance attenuation and rejection. By means of the technique of the disturbance compensation control and stoc

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7

Zhang, Linqing, Xinjiang Wei, and Huifeng Zhang. "Disturbance Observer-Based Elegant Anti-Disturbance Control for Stochastic Systems with Multiple Disturbances." Asian Journal of Control 19, no. 6 (2017): 1966–76. http://dx.doi.org/10.1002/asjc.1514.

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Wei, Yongli, Xinjiang Wei, Huifeng Zhang, and Jian Han. "Composite hierarchical anti-disturbance control for stochastic systems with multiple heterogeneous disturbances." Transactions of the Institute of Measurement and Control 41, no. 15 (2019): 4398–408. http://dx.doi.org/10.1177/0142331219858786.

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This paper studies the problem of anti-disturbance control for a class of stochastic systems with multiple heterogeneous disturbances, which include the white noise and the non-harmonic disturbance with unknown nonlinear function. An adaptive disturbance observer is constructed to estimate the non-harmonic disturbances with unknown nonlinear function, which is approximated by neural network. A composite hierarchical anti-disturbance control (CHADC) scheme is designed by integrated Lyapunov function and linear matrix inequality (LMI), such that the expected dynamic performance of the composite

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9

de la Cruz, Nain, and Michael Basin. "Predefined-Time Control of Full-Scale 4D Model of Permanent-Magnet Synchronous Motor with Deterministic Disturbances and Stochastic Noises." Actuators 10, no. 11 (2021): 306. http://dx.doi.org/10.3390/act10110306.

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This paper presents a predefined-time convergent robust control algorithm that allows the control designer to set the convergence time in advance, independently of initial conditions, deterministic disturbances, and stochastic noises. The control law is consequently designed and verified by simulations for a full-scale 4-degrees-of-freedom (4D) permanent-magnet synchronous motor (PMSM) system in cases of a disturbance-free system with completely measurable states, a disturbance-free system with incompletely measurable states, a system with incompletely measurable states in the presence of dete

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Tan, Jianguo, Wenjuan Wang, and Jianfeng Feng. "Transient Dynamics Analysis of a Predator-Prey System with Square Root Functional Responses and Random Perturbation." Mathematics 10, no. 21 (2022): 4087. http://dx.doi.org/10.3390/math10214087.

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In this paper, we study the asymptotic and transient dynamics of a predator–prey model with square root functional responses and random perturbation. Firstly, the mean square stability matrix is obtained from the stability theory of stochastic systems, and three stability indexes (root-mean-square resilience, root-mean-square reactivity and root-mean-square amplification envelope) of the ecosystem response to stochastic disturbances are calculated. We find that: (1) no matter which population is disturbed, increasing the intensity of disturbance improves the ability of the system leaves steady

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11

Li, Xinqing, Xinjiang Wei, Huifeng Zhang, Jian Han, Xin Hu, and Xiuhua Liu. "Adaptive nonlinear disturbance observer-based control for stochastic systems with multiple heterogeneous disturbances." Transactions of the Institute of Measurement and Control 42, no. 11 (2020): 2020–30. http://dx.doi.org/10.1177/0142331220904573.

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The problem of anti-disturbance control is studied for a class of stochastic systems with multiple heterogeneous disturbances, which include three kinds of disturbance. One is the non-harmonic disturbance coupled with system state and control input. The other one is an unexpected nonlinear signal described as a nonlinear function. The third one is white noise. An adaptive nonlinear disturbance observer (ANDO) is constructed to estimate non-harmonic disturbance. Based on which, a new adaptive nonlinear disturbance observer-based control (ANDOBC) strategy is developed such that the composite sys

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12

Xu, Xiaohui, Jibin Yang, and Yanhai Xu. "Mean Square Exponential Stability of Stochastic Complex-Valued Neural Networks with Mixed Delays." Complexity 2019 (June 20, 2019): 1–20. http://dx.doi.org/10.1155/2019/3429326.

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This paper investigates the mean square exponential stability problem of a class of complex-valued neural networks with stochastic disturbance and mixed delays including both time-varying delays and continuously distributed delays. Under different assumption conditions concerning stochastic disturbance term from the existing ones, some sufficient conditions are derived for assuring the mean square exponential stability of the equilibrium point of the system based on the vector Lyapunov function method and Ito^ differential-integral theorem. The obtained results not only generalize the existing

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13

You, Lihong, Xinjiang Wei, Jian Han, Huifeng Zhang, Xiuhua Liu, and Xin Hu. "Elegant anti-disturbance control for stochastic systems with multiple heterogeneous disturbances based on fuzzy logic systems." Transactions of the Institute of Measurement and Control 42, no. 14 (2020): 2611–21. http://dx.doi.org/10.1177/0142331220922732.

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There are a large number of non-harmonic disturbances generated by nonlinear exogenous systems in realistic engineering. The current disturbance observer is not applicable for estimating the non-harmonic disturbance with unknown nonlinear dynamics, thus greatly reducing the accuracy of the controller. This paper addresses a class of stochastic systems with multiple heterogeneous disturbances including white noise and non-harmonic disturbance with unknown smooth nonlinear function, which can be approximated by fuzzy logic systems. Based on the approximation of the unknown nonlinear function, an

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Garza-Alonso, Alison, Michael Basin, and Pablo Rodriguez-Ramirez. "Predefined-time stabilization of permanent-magnet synchronous motor." Transactions of the Institute of Measurement and Control 43, no. 13 (2021): 3044–54. http://dx.doi.org/10.1177/01423312211016741.

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This paper designs a predefined-time convergent continuous control algorithm to stabilize a permanent-magnet synchronous motor (PMSM) system. Three cases have been considered: disturbance-free, in presence of a deterministic disturbance satisfying a Lipschitz condition, and in presence of both a stochastic white noise and a deterministic disturbance satisfying a Lipschitz condition. The designed control law is free from the restrictions of exponential control growth and exact initial conditions knowledge. This is the first predefined-time convergent continuous control algorithm applied to stab

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15

Zhao, Hanxu, Xinjiang Wei, Huifeng Zhang, and Hamid Reza Karimi. "Nonlinear disturbance observer-based control for a class of discrete-time stochastic systems with multiple heterogenous disturbances." Transactions of the Institute of Measurement and Control 42, no. 2 (2019): 180–87. http://dx.doi.org/10.1177/0142331219865081.

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In this paper, the nonlinear disturbance observer-based control (NDOBC) scheme is proposed for a class of discrete-time stochastic systems with multiple heterogenous disturbances, which include the non-harmonic disturbance and a sequence of random vectors. A nonlinear disturbance observer (NDO) is designed to estimate the non-harmonic disturbance, then the NDOBC scheme is proposed by combining DOBC with [Formula: see text] control, such that the composite system can achieves asymptotically mean-square bounded and asymptotically mean-square stable in different conditions. Finally, simulation re

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16

Shao, Peng, Yu Qi Wu, D. B. Yang, G. X. Ren, and Z. Y. Fan. "Research on Dynamic Disturbances Induced Catastrophic Failure of Deep Rock Mass Based on Synergetics." Applied Mechanics and Materials 34-35 (October 2010): 1645–49. http://dx.doi.org/10.4028/www.scientific.net/amm.34-35.1645.

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Catastrophic failure of rock mass is a kind of serious geological hazard which usually happens during deep mining excavation and underground engineering construction. Though many investigations have confirmed that it was strongly relate to dynamic disturbances, the disturbing mechanism is still not well-known. The purpose of this paper is to offer a theoretical method to analyze dynamic disturbances induced catastrophic failure. On the basis of synergetic analysis, we established a generalized Langevin equation to describe the nonlinear evolution process of rock mass by considering stochastic

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17

Zhengdong, Lei, Wang Man, and Yang Jianying. "Nonlinear Robust Control of a Hypersonic Flight Vehicle Using Fuzzy Disturbance Observer." Mathematical Problems in Engineering 2013 (2013): 1–10. http://dx.doi.org/10.1155/2013/369092.

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This paper is concerned with a novel tracking controller design for a hypersonic flight vehicle in complex and volatile environment. The attitude control model is challengingly constructed with multivariate uncertainties and external disturbances, such as structure dynamic and stochastic wind disturbance. In order to resist the influence of uncertainties and disturbances on the flight control system, nonlinear disturbance observer is introduced to estimate them. Moreover, for the sake of high accuracy and sensitivity, fuzzy theory is adopted to improve the performance of the nonlinear disturba

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18

Hao, Y., and Z. Q. Wu. "Random Flutter of Multi-Stable Airfoils Excited Parametrically in Steady Flows." Journal of Mechanics 35, no. 3 (2018): 419–26. http://dx.doi.org/10.1017/jmech.2018.19.

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ABSTRACTIn this article, random flutter of multi-stable airfoils in steady flow is investigated by means of the analytical method for stochastic P-bifurcation, where the effect of the stochastic disturbance in the generalized flow speed on the airfoils is considered. The results show that under constant stochastic disturbance intensity, the coherence resonance could be induced by the variation of generalized flow speed. In addition, if the generalized flow speed keeps unchanged and its stochastic disturbance is sufficiently large, the response of the system will tend to be a stable equilibrium

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19

George, Jemin, Puneet Singla, and John L. Crassidis. "Adaptive stochastic disturbance accommodating control." International Journal of Control 84, no. 2 (2011): 310–35. http://dx.doi.org/10.1080/00207179.2010.551142.

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20

Li, Haiquan, Xiaoqian Chen, Jiatu Zhang, Bochen Wang, Jiahui Peng, and Liang Wang. "Identification of a Stochastic Dynamic Model for Aircraft Flight Attitude Based on Measured Data." International Journal of Aerospace Engineering 2023 (October 28, 2023): 1–12. http://dx.doi.org/10.1155/2023/5429395.

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Stochastic disturbances are everywhere. The influence of stochastic factors on the modeling and simulation of aircraft flight dynamics should be considered. Therefore, a stochastic differential equation for aircraft flight attitude is modeled based on the traditional one in this paper. After that, an identification method based on the idea of sparse recognition for unknown parameters and stochastic disturbance is proposed. Finally, a set of measured flight data is used to verify that the identified stochastic model has obvious advantages over the traditional deterministic model when the aircra

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21

Liu, Yunlong, Yumin Zhang, and Xiuming Yao. "Composite Antidisturbance Control for a Class of Nonlinear Stochastic Systems via Disturbance Observer." Mathematical Problems in Engineering 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/281340.

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The stabilization problem is investigated in this paper for a class of nonlinear systems with disturbances. The disturbances are supposed to be classified into two types. One type in the input channel is generated by an exogenous system, which can represent the constant or harmonic signals with unknown phase and magnitude. The other type is stochastic disturbance. Two kinds of nonlinear dynamics in the plants are considered, respectively, which correspond to the known and unknown functions. By integrating the disturbance observers with conventional control method, the first type of disturbance

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22

Sparks, A. G., and D. S. Bernstein. "Optimal Rejection of Stochastic and Deterministic Disturbances." Journal of Dynamic Systems, Measurement, and Control 119, no. 1 (1997): 140–43. http://dx.doi.org/10.1115/1.2801207.

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The problem of optimal H2 rejection of noisy disturbances while asymptotically rejecting constant or sinusoidal disturbances is considered. The internal model principle is used to ensure that the expected value of the output approaches zero asymptotically in the presence of persistent deterministic disturbances. Necessary conditions are given for dynamic output feedback controllers that minimize an H2 disturbance rejection cost plus an upper bound on the integral square output cost for transient performance. The necessary conditions provide expressions for the gradients of the cost with respec

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23

Shao, Yuehjen E. "Recognition of Process Disturbances for an SPC/EPC Stochastic System Using Support Vector Machine and Artificial Neural Network Approaches." Abstract and Applied Analysis 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/519705.

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Because of the excellent performance on monitoring and controlling an autocorrelated process, the integration of statistical process control (SPC) and engineering process control (EPC) has drawn considerable attention in recent years. Both theoretical and empirical findings have suggested that the integration of SPC and EPC can be an effective way to improve the quality of a process, especially when the underlying process is autocorrelated. However, because EPC compensates for the effects of underlying disturbances, the disturbance patterns are embedded and hard to be recognized. Effective rec

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24

Wang, Jingyue, Haotian Wang, and Lixin Guo. "Analysis of Stochastic Nonlinear Dynamics in the Gear Transmission System with Backlash." International Journal of Nonlinear Sciences and Numerical Simulation 16, no. 2 (2015): 111–21. http://dx.doi.org/10.1515/ijnsns-2014-0089.

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AbstractIn order to study the different backlash, gear damping ratio and random disturbance on dynamic behavior of gear transmission system, stochastic dynamic equations of the three-degree-of-freedom spur gear transmission system are established considering random disturbances of a low-frequency external excitation induced by torque fluctuation, gear damping ratio, gear backlash, excitation frequency and meshing stiffness. Using bifurcation diagram, phase diagram, time course diagram, Poincaré map and power spectrum of the system, the dynamic characteristics of the gear transmission system wi

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25

Li, Yankai, Mou Chen, Tao Li, and Huijiao Wang. "Tracking control for the helicopter with time-varying disturbance and input stochastic perturbation." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 234, no. 4 (2019): 961–76. http://dx.doi.org/10.1177/0954410019892183.

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In this paper, the tracking control problem is investigated for the helicopter under time-varying disturbance, input stochastic perturbation, and unmeasurable flapping motion states. Firstly, a state observer and a disturbance observer are constructed to estimate the unmeasurable states and the time-varying disturbance, and the estimation of the disturbance is used in the feedforward controller design. Secondly, under the input stochastic perturbation, a feedback controller is constructed to guarantee the stochastic stability of the closed-loop error system. Using the stochastic control theory

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26

Lin, Jing, Liming Ding, and Shen Yan. "Composite Anti-Disturbance Static Output Control of Networked Nonlinear Markov Jump Systems with General Transition Probabilities Under Deception Attacks." Symmetry 17, no. 5 (2025): 658. https://doi.org/10.3390/sym17050658.

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This paper studies the composite anti-disturbance static output feedback control problem of networked nonlinear Markov jump systems with general transition probabilities subject to multiple disturbances and deception attacks. The transition probabilities cover the known, uncertain with known bounds, and unknown cases. The unmatched disturbance and deception attacks are attenuated by the static output controller, while the matched disturbance is observed and compensated by the disturbance observer. Then, a composite anti-disturbance static output controller, including a linear part and a nonlin

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27

Li, Dongping, and Yankai Li. "Antidisturbance Control for Helicopter Stochastic Systems." Mathematical Problems in Engineering 2021 (November 16, 2021): 1–28. http://dx.doi.org/10.1155/2021/6980715.

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In this paper, an antidisturbance controller is presented for helicopter stochastic systems under disturbances. To enhance the antidisturbance abilities, the nonlinear disturbance observer method is applied to reject the time-varying disturbances. Then, the antidisturbance nonlinear controller is designed by combining the backstepping control scheme. And the stochastic theory is used to guarantee that the closed-loop system is asymptotically bounded in mean square while the proposed control method is shown via some traditional nonlinear control techniques, which still show some common issues s

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28

He, Shuping, and Fei Liu. "RobustL2-L∞Filtering of Time-Delay Jump Systems with Respect to the Finite-Time Interval." Mathematical Problems in Engineering 2011 (2011): 1–17. http://dx.doi.org/10.1155/2011/839648.

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This paper studied the problem of stochastic finite-time boundedness and disturbance attenuation for a class of linear time-delayed systems with Markov jumping parameters. Sufficient conditions are provided to solve this problem. TheL2-L∞filters are, respectively, designed for time-delayed Markov jump linear systems with/without uncertain parameters such that the resulting filtering error dynamic system is stochastically finite-time bounded and has the finite-time interval disturbance attenuationγfor all admissible uncertainties, time delays, and unknown disturbances. By using stochastic Lyapu

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29

Lv, Chunwan, Guoshun Huang, Zhengyong Ouyang, Jian Chen, and Lingxin Bao. "Output Regulation for a Class of MIMO Uncertain Stochastic Nonlinear Systems by Active Disturbance Rejection Control Approach." Mathematical Problems in Engineering 2019 (January 22, 2019): 1–12. http://dx.doi.org/10.1155/2019/5674212.

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In this paper, the active disturbance rejection control (ADRC) approach is applied to a class of multi-input multioutput (MIMO) uncertain stochastic nonlinear systems. An extended state observer (ESO) is first designed for estimation of both unmeasured states and stochastic total disturbance of each subsystem which represents the total effects of internal unmodeled stochastic dynamics and external stochastic disturbance with unknown statistical property. The ADRC controller based on the states of ESO is further designed to achieve the closed-loop system’s output regulation performance includin

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30

Shen, Hong, Xiaoli Zhang, and Yang Yi. "Integral Sliding Mode Anti-Disturbance Control for Markovian Jump Systems with Mismatched Disturbances." Electronics 10, no. 9 (2021): 1075. http://dx.doi.org/10.3390/electronics10091075.

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This paper addresses an integral sliding mode-based anti-disturbance control algorithm for a type of Markovian jump systems (MJSs), which are influenced by different types of mismatched disturbances. On one hand, as for those disturbances that can be modeled, the disturbance observer (DO) method is introduced to realize the dynamical estimation of disturbances. Based on this, both the integral sliding surface (ISS) and the composite anti-disturbance controller are proposed in succession for rejecting unknown disturbances and guaranteeing the stability of the controlled MJS. Meanwhile, the stat

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31

Chabir, Karim, Taouba Rhouma, Jean Yves Keller, and Dominique Sauter. "State Filtering for Networked Control Systems Subject to Switching Disturbances." International Journal of Applied Mathematics and Computer Science 28, no. 3 (2018): 473–82. http://dx.doi.org/10.2478/amcs-2018-0036.

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Abstract State estimation of stochastic discrete-time linear systems subject to unknown inputs has been widely studied, but few works take into account disturbances switching between unknown inputs and constant biases. We show that such disturbances affect a networked control system subject to deception attacks on the control signals transmitted by the controller to the plant via unreliable networks. This paper proposes to estimate the switching disturbance from an augmented state version of the intermittent unknown input Kalman filter. The sufficient stochastic stability conditions of the obt

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32

Xuhui, Bu, Zhang Hongwei, Song YunZhong, and Yu Fashan. "H∞ILC Design for Discrete Linear Systems with Packet Dropouts and Iteration-Varying Disturbances." Discrete Dynamics in Nature and Society 2014 (2014): 1–10. http://dx.doi.org/10.1155/2014/587323.

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AnH∞iterative learning controller is designed for networked systems with intermittent measurements and iteration-varying disturbances. By modeling the measurement dropout as a stochastic variable satisfying the Bernoulli random binary distribution, the design can be transformed intoH∞control of a 2D stochastic system described by Roesser model. A sufficient condition for mean-square asymptotic stability andH∞disturbance attenuation performance for such 2D stochastic system is established by means of linear matrix inequality (LMI) technique, and formulas can be given for the control law design

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Liu, Caixia, Yingqi Zhang, and Huixia Sun. "Finite-TimeH∞Filtering for Singular Stochastic Systems." Journal of Applied Mathematics 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/615790.

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This paper addresses the problem of finite-timeH∞filtering for one family of singular stochastic systems with parametric uncertainties and time-varying norm-bounded disturbance. Initially, the definitions of singular stochastic finite-time boundedness and singular stochasticH∞finite-time boundedness are presented. Then, theH∞filtering is designed for the class of singular stochastic systems with or without uncertain parameters to ensure singular stochastic finite-time boundedness of the filtering error system and satisfy a prescribedH∞performance level in some given finite-time interval. Furth

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Nakamizo, Takayoshi, Esmaeil Malekimehraban, and Nobuaki Kobayashi. "Disturbance Decoupling Filter for Stochastic Systems." Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications 2000 (May 5, 2000): 253–58. http://dx.doi.org/10.5687/sss.2000.253.

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Chang, Der-Shin, and Guan-Chyun Lin. "Stochastic regression model with heteroscedastic disturbance." Annals of the Institute of Statistical Mathematics 47, no. 2 (1995): 351–69. http://dx.doi.org/10.1007/bf00773467.

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Wietzke, Thore, Daniel Landgraf, and Knut Graichen. "Application of stochastic model predictive control for building energy systems using latent force models." at - Automatisierungstechnik 73, no. 6 (2025): 441–50. https://doi.org/10.1515/auto-2024-0160.

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Abstract The model-based control of building energy systems (BES) is a hard task, since the system identification is very labor-intensive. This results in inexact models, which are subject to parameter uncertainties. Additionally, disturbances like solar radiation have a great impact on the system dynamics. In this paper we used stochastic model predictive control (SMPC) to account for parameter and disturbance uncertainties. The disturbances are modeled as time-dependent Gaussian Processes (GP), which are known as Latent-Force Models (LFM). The proposed approach is evaluated for two different

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Hahn, Jannik, and Olaf Stursberg. "Uncertain AoI in stochastic optimal control of constrained LTI systems." at - Automatisierungstechnik 70, no. 4 (2022): 343–54. http://dx.doi.org/10.1515/auto-2021-0125.

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Abstract This paper addresses finite-time horizon optimal control of control structures with shared communication network. To cope with the uncertainties, induced by network imperfections and exogenous disturbances at the same time, an optimization-based control scheme is proposed. It uses a disturbance feedback and the Age of Information (AoI), a receiver-based measure of communication delays, as central aspects. The disturbance feedback is an extension of the control law used for balanced stochastic optimal control. Balanced optimality is understood as a compromise between minimizing expecte

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38

Basmann, Robert L. "A Theory of Serial Correlation of Stochastic Taste Changers in Direct Utility Functions." Econometric Theory 1, no. 2 (1985): 192–210. http://dx.doi.org/10.1017/s0266466600011130.

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Methods of maximum-likelihood search (eg., Hildreth-Lu) for single equations models with autocorrelated disturbances are not easily extended to the multi-equation systems encountered in econometric studies of consumer demand. The obstacle is the large dimension of the space of independent serial correlation coefficients to be partitioned and searched. This paper treats stochastic disturbance vectors in demand/expenditure systems as functions of random disturbances in consumer utility functions. It specifies marginal utilities to be products of a systematic function and a nonnegative random dis

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King, Maxwell L., and Merran A. Evans. "Locally Optimal Properties of the Durbin-Watson Test." Econometric Theory 4, no. 3 (1988): 509–16. http://dx.doi.org/10.1017/s0266466600013426.

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Although originally designed to detect AR(1) disturbances in the linear-regression model, the Durbin-Watson test is known to have good power against other forms of disturbance behavior. In this paper, we identify disturbance processes involving any number of parameters against which the Durbin–Watson test is approximately locally best invariant uniformly in a range of directions from the null hypothesis. Examples include the sum of q independent ARMA(1,1) processes, certain spatial autocorrelation processes involving up to four parameters, and a stochastic cycle model.

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Wei, Xinjiang, Lewei Dong, Huifeng Zhang, Xin Hu, and Jian Han. "Adaptive disturbance observer‐based control for stochastic systems with multiple heterogeneous disturbances." International Journal of Robust and Nonlinear Control 29, no. 16 (2019): 5533–49. http://dx.doi.org/10.1002/rnc.4683.

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Nikoofard, Amirhossein, Tor Arne Johansen, Hessam Mahdianfar, and Alexey Pavlov. "Design and Comparison of Constrained MPC With PID Controller for Heave Disturbance Attenuation in Offshore Managed Pressure Drilling Systems." Marine Technology Society Journal 48, no. 2 (2014): 90–103. http://dx.doi.org/10.4031/mtsj.48.2.4.

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AbstractThis paper presents a constrained finite horizon model predictive control (MPC) scheme for regulation of the annular pressure in a well during managed pressure drilling from a floating vessel subject to heave motion. In addition to the robustness of a controller, how to deal with heave disturbances despite uncertainties in the friction factor and bulk modulus is investigated. The stochastic model describing sea waves in the North Sea is used to simulate the heave disturbances. The results show that the closed-loop simulation without disturbance has a fast regulation response, without a

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Li, Sheng, Changhong Duan, Yuan Gao, and Yuhao Cai. "Classification Study of New Power System Stability Considering Stochastic Disturbance Factors." Sustainability 15, no. 24 (2023): 16614. http://dx.doi.org/10.3390/su152416614.

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Power system instability causes many local or large-scale power outage accidents. To maintain sustainable development, a new power system construction aimed at maximizing new energy consumption is being put on the agenda. However, with a large increase in stochastic disturbance factors (SDFs), the system gradually shows strong stochasticity, and the stability presents greater complexity. It is necessary to analyze the impact on the system based on different processing methods of SDFs to maintain system stability. This paper delves into the impact of SDFs on system stability by analyzing and su

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Felea, Ioan, Simona Dzitac, Tiberiu Vesselenyi, and Ioan Dzitac. "Decision Support Model for Production Disturbance Estimation." International Journal of Information Technology & Decision Making 13, no. 03 (2014): 623–47. http://dx.doi.org/10.1142/s0219622014500576.

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A current modeling framework for disturbance in manufacturing systems (MS) is given by concepts like discrete-event systems, stochastic fluid models and infinitesimal disturbance analysis. The goal of modeling is to achieve control and structural and functional optimization of MS. Objective functions of these optimization models are focused on quantities which reflect the level of reliability, the level of manufactured products, the quality of products or the impact on the environment of MS with disturbances. These models do not allow a dynamic evaluation of consequences of the disturbances wh

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Zhang, Jian, Anqi Miao, and Tongqian Zhang. "Threshold Dynamics of a Stochastic Chemostat Model with Two Nutrients and One Microorganism." Mathematical Problems in Engineering 2017 (2017): 1–11. http://dx.doi.org/10.1155/2017/5217027.

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A new stochastic chemostat model with two substitutable nutrients and one microorganism is proposed and investigated. Firstly, for the corresponding deterministic model, the threshold for extinction and permanence of the microorganism is obtained by analyzing the stability of the equilibria. Then, for the stochastic model, the threshold of the stochastic chemostat for extinction and permanence of the microorganism is explored. Difference of the threshold of the deterministic model and the stochastic model shows that a large stochastic disturbance can affect the persistence of the microorganism

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Yang, Pu, Ziwei Shen, Yu Ding, and Kejia Feng. "Fast Terminal Sliding Mode Fault-Tolerant Control for Markov Jump Nonlinear Systems Based on an Adaptive Observer." Drones 6, no. 9 (2022): 233. http://dx.doi.org/10.3390/drones6090233.

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In this paper, a new adaptive observer is proposed to estimate the actuator fault and disturbance of a quadrotor UAV system with actuator failure and disturbance. Based on this, a nonsingular fast terminal sliding mode controller is designed. Firstly, according to the randomness of faults and disturbances, the UAV system under faults and disturbances is regarded as one of the Markov jump nonlinear systems (MJNSs). Secondly, an adaptive observer is designed to simultaneously observe the system state, fault, and disturbance. In order to improve the precision, the fast adaptive fault estimation (

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Guo, L., and Y. Zhang. "Generalized robust H∞ fault diagnosis filtering based on conditional stochastic distributions of system outputs." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 221, no. 6 (2007): 857–64. http://dx.doi.org/10.1243/09596518jsce348.

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The efficiency of fault detection and diagnosis by using output probability density functions (PDFs) for stochastic time-delayed systems has been shown in practical processes. Neural network modelling has been applied to characterize the output PDFs and to the dynamical weighting system. In this paper, the system perturbations and disturbance are considered and the robust fault diagnosis design is studied for the general stochastic system in the presence of time delays. The main objective is to design linear matrix inequality (LMI)-based fault diagnostic filtering (FDF) to estimate the fault a

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Yan, Xiaohui, Guiwei Shao, Qingyun Yang, Liang Yu, Yuwu Yao, and Shengxia Tu. "Adaptive Robust Tracking Control for Near Space Vehicles with Multi-Source Disturbances and Input–Output Constraints." Actuators 11, no. 10 (2022): 273. http://dx.doi.org/10.3390/act11100273.

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In this paper, considering the simultaneous influence of multi-source disturbances, system modeling uncertainties and input–output constraints, an adaptive robust attitude tracking control scheme is proposed for near space vehicles (NSVs) which is expressed as a stochastic nonlinear system. A multi-dimensional Taylor polynomial network (MTPN) is utilized to handle the system uncertainties, and the nonlinear disturbance observer (NDO) based on MTPN is designed to estimate the external disturbances. Furthermore, by constructing the auxiliary system to tackle the input saturation and introducing

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Li, Yingwei, and Xueqing Guo. "Exponential Synchronization for Stochastic Neural Networks with Mixed Time Delays and Markovian Jump Parameters via Sampled Data." Abstract and Applied Analysis 2014 (2014): 1–17. http://dx.doi.org/10.1155/2014/505164.

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The exponential synchronization issue for stochastic neural networks (SNNs) with mixed time delays and Markovian jump parameters using sampled-data controller is investigated. Based on a novel Lyapunov-Krasovskii functional, stochastic analysis theory, and linear matrix inequality (LMI) approach, we derived some novel sufficient conditions that guarantee that the master systems exponentially synchronize with the slave systems. The design method of the desired sampled-data controller is also proposed. To reflect the most dynamical behaviors of the system, both Markovian jump parameters and stoc

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Modi, Saurabh, Supravat Dey, and Abhyudai Singh. "Noise suppression in stochastic genetic circuits using PID controllers." PLOS Computational Biology 17, no. 7 (2021): e1009249. http://dx.doi.org/10.1371/journal.pcbi.1009249.

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Inside individual cells, protein population counts are subject to molecular noise due to low copy numbers and the inherent probabilistic nature of biochemical processes. We investigate the effectiveness of proportional, integral and derivative (PID) based feedback controllers to suppress protein count fluctuations originating from two noise sources: bursty expression of the protein, and external disturbance in protein synthesis. Designs of biochemical reactions that function as PID controllers are discussed, with particular focus on individual controllers separately, and the corresponding clos

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Zhang, Weihai, Bor-Sen Chen, Li Sheng, and Ming Gao. "RobustH2/H∞Filter Design for a Class of Nonlinear Stochastic Systems with State-Dependent Noise." Mathematical Problems in Engineering 2012 (2012): 1–16. http://dx.doi.org/10.1155/2012/750841.

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This paper investigates the problem of robust filter design for a class of nonlinear stochastic systems with state-dependent noise. The state and measurement are corrupted by stochastic uncertain exogenous disturbance and the dynamic system is modeled by Itô-type stochastic differential equations. For this class of nonlinear stochastic systems, the robustH∞filter can be designed by solving linear matrix inequalities (LMIs). Moreover, a mixedH2/H∞filtering problem is also solved by minimizing the total estimation error energy when the worst-case disturbance is considered in the design procedure

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