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Journal articles on the topic 'Linear Parametric Varying (LPV)'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 June 2024

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1

Cao, Guoyan, Karolos M. Grigoriadis, and Yaw D. Nyanteh. "LPV Control for the Full Region Operation of a Wind Turbine Integrated with Synchronous Generator." Scientific World Journal 2015 (2015): 1–15. http://dx.doi.org/10.1155/2015/638120.

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Wind turbine conversion systems require feedback control to achieve reliable wind turbine operation and stable current supply. A robust linear parameter varying (LPV) controller is proposed to reduce the structural loads and improve the power extraction of a horizontal axis wind turbine operating in both the partial load and the full load regions. The LPV model is derived from the wind turbine state space models extracted by FAST (fatigue, aerodynamics, structural, and turbulence) code linearization at different operating points. In order to assure a smooth transition between the two regions,

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2

Hasseni, Seif-El-Islam, and Latifa Abdou. "Robust LFT-LPV H∞ Control of an Underactuated Inverted Pendulum on a Cart with Optimal Weighting Functions Selection by GA and ES." Acta Mechanica et Automatica 14, no. 4 (2020): 186–97. http://dx.doi.org/10.2478/ama-2020-0027.

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Abstract This article investigates the robust stabilization and control of the inverted pendulum on a cart against disturbances, measurement noises, and parametric uncertainties by the LFT-based LPV technique (Linear-Fractional-Transformation based Linear-Parameter-Varying). To make the applying of the LPV technique possible, the LPV representation of the inverted pendulum on a cart model is developed. Besides, the underactuated constraint of this vehicle is overcome by considering both degrees of freedom (the rotational one and the translational one) in the structure. Moreover, the selection

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3

Huang, Kewang, Tao Ma, and Feng Pan. "H∞ Control for LPV Discrete Systems with Random Time-Varying Network Delay." Mathematical Problems in Engineering 2018 (October 29, 2018): 1–9. http://dx.doi.org/10.1155/2018/9095014.

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In this paper, we study the H∞ control problem for Linear Parameter Varying (LPV) discrete systems with random time-varying network delay. The state matrices of LPV discrete systems are deterministic functions and changed with parameters; the range of parameters is measurable. Considering the characteristics of networks with random time-varying delay, we proposed a new parameter-dependent H∞ performance criterion based on the Lyapunov stability theory. The coupling between Lyapunov functions and system matrices could be eliminated by introducing an additional matrix in this criterion, which ma

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4

Pereira, Renan Lima, and Karl Heinz Kienitz. "H∞Loop Shaping Control of Input Saturated Systems with Norm-Bounded Parametric Uncertainty." Journal of Control Science and Engineering 2015 (2015): 1–9. http://dx.doi.org/10.1155/2015/383297.

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This paper proposes a gain-scheduling control design strategy for a class of linear systems with the presence of both input saturation constraints and norm-bounded parametric uncertainty. LMI conditions are derived in order to obtain a gain-scheduled controller that ensures the robust stability and performance of the closed loop system. The main steps to obtain such a controller are given. Differently from other gain-scheduled approaches in the literature, this one focuses on the problem ofH∞loop shaping control design with input saturation nonlinearity and norm-bounded uncertainty to reduce t

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Mocsányi, Réka Dóra, Béla Takarics, Aditya Kotikalpudi, and Bálint Vanek. "Grid-Based and Polytopic Linear Parameter-Varying Modeling of Aeroelastic Aircraft with Parametric Control Surface Design." Fluids 5, no. 2 (2020): 47. http://dx.doi.org/10.3390/fluids5020047.

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The main direction of aircraft design today and in the future is to achieve more lightweight and higher aspect ratio airframes with the aim to improve performance and to reduce operating costs and harmful emissions. This promotes the development of flexible aircraft structures with enhanced aeroelastic behaviour. Increased aeroservoelastic (ASE) effects such as flutter can be addressed by active control technologies. Control design for flutter suppression heavily depends on the control surface sizing. Control surface sizing is traditionally done in an iterative process, in which the sizing is

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Ossmann, Daniel, and Andreas Varga. "Detection and Identification of Loss of Efficiency Faults of Flight Actuators." International Journal of Applied Mathematics and Computer Science 25, no. 1 (2015): 53–63. http://dx.doi.org/10.1515/amcs-2015-0004.

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Abstract We propose linear parameter-varying (LPV) model-based approaches to the synthesis of robust fault detection and diagnosis (FDD) systems for loss of efficiency (LOE) faults of flight actuators. The proposed methods are applicable to several types of parametric (or multiplicative) LOE faults such as actuator disconnection, surface damage, actuator power loss or stall loads. For the detection of these parametric faults, advanced LPV-model detection techniques are proposed, which implicitly provide fault identification information. Fast detection of intermittent stall loads (seen as nuisa

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7

Zammali, Chaima, Jérémy Van Gorp, and Tarek Raissi. "On Interval Observer Design for Continuous-Time LPV Switched Systems." Acta Cybernetica 24, no. 3 (2020): 539–55. http://dx.doi.org/10.14232/actacyb.24.3.2020.14.

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State estimation for switched systems with time-varying parameters has received a great attention during the past decades. In this paper, a new approach to design an interval observer for this class of systems is proposed. The scheduling vector is described by a convex combination so that the parametric uncertainties belong into polytopes. The considered system is also subject to measurement noise and state disturbances which are supposed to be unknown but bounded.The proposed method guarantees both cooperativity and Input to State Stability (ISS) of the upper and lower observation errors. Suf

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8

Malik, Arshad Habib, Aftab Ahmed Memon, and Feroza Arshad. "Fractional order multi-scheduling parameters based LPV modelling and robust switching H∞ controllers design for steam dump system of nuclear power plant." Mehran University Research Journal of Engineering and Technology 41, no. 2 (2022): 197–207. http://dx.doi.org/10.22581/muet1982.2202.19.

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In this research work, the highly challenging problem of novel modelling and nonlinear control of steam dump system of Pressurized Water Reactor (PWR) type Nuclear Power Plant (NPP) is attempted. The Fractional Order Multi- Scheduling Parameters based Multi-Input Single- Output Linear Parameter Varying (FO-MSP-MISO-LPV) model of Steam Dump System (SDS) is estimated with uncertain dynamics under sudden load variation transients. MSP for uncertain dynamics of SDS in FO framework is the most challenging problem and attempted in a novel fashion for the first time in nuclear industry. Scheduling pa

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9

Shao, Pengyuan, Jin Wu, and Songhui Ma. "Robust Gain-Scheduled PID Control: A Parameter Dependent BMI Solution." Cybernetics and Information Technologies 20, no. 1 (2020): 156–67. http://dx.doi.org/10.2478/cait-2020-0011.

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AbstractIn control practices, problems of parametric or time-varying uncertainties must be dealt with. Robust control based on norm theory and convex and non-convex optimization algorithms is a powerful tool to solve these problems in theory, but it is employed rarely in applications. In most engineering cases, Proportional-Integration-Derivative (PID) control is still the most popular method for its easy-to-tune and controllable properties. The control method proposed in this paper integrates the PID control into robust control formulation as a robust Structured Static Output Feedback (SSOF)

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10

Yang, Xing, Lu Xiong, Bo Leng, Dequan Zeng, and Guirong Zhuo. "Design, Validation and Comparison of Path Following Controllers for Autonomous Vehicles." Sensors 20, no. 21 (2020): 6052. http://dx.doi.org/10.3390/s20216052.

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As one of the core issues of autonomous vehicles, vehicle motion control directly affects vehicle safety and user experience. Therefore, it is expected to design a simple, reliable, and robust path following the controller that can handle complex situations. To deal with the longitudinal motion control problem, a speed tracking controller based on sliding mode control with nonlinear conditional integrator is proposed, and its stability is proved by the Lyapunov theory. Then, a linear parameter varying model predictive control (LPV-MPC) based lateral controller is formulated that the optimizati

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11

Bouazizi, Mohamed Hechmi. "An observer-based H∞ linear parameter varying controller for time delayed linear parameter varying systems using dilated linear matrix inequalities and Wirtinger inequality." Transactions of the Institute of Measurement and Control 43, no. 9 (2021): 1915–23. http://dx.doi.org/10.1177/0142331220983629.

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In this study, we give a method for the design of linear parameter varying (LPV) observers in order to perform an LPV time delayed state feedback control for LPV systems with time varying delay. We derive some tractable analysis and synthesis conditions expressed in terms of linear matrix inequalities (LMIs). We show how it is possible to reduce significantly the conservatism of the quadratic approach by using parameter dependent Lyapunov-Krasovskii functional and LMI dilation techniques jointed to the Wirtinger integral inequality. We also present a method that makes it possible to do without

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12

Wang, Xiao Ming, Alois Steiner, and Jan Fiala. "Linear Parameter-Varying Modeling of Electric Vehicle Air Conditioning System." Applied Mechanics and Materials 148-149 (December 2011): 318–25. http://dx.doi.org/10.4028/www.scientific.net/amm.148-149.318.

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This article presents the approach of quasi LPV (Linear Parameter-Varying) modeling techniques for an air conditioning system of an electric vehicle. Vehicle air conditioning systems are strongly non-linear systems and it is a challenging task to get a precise real time model for control purposes. Therefore, an LPV method is first introduced to estimate the air conditioning system. Experimental results show that the LPV model delivers a very high accuracy for the COP (Coefficient Of Performance) estimation, that can’t be reached by traditional identification methods. Some discussion about the

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13

Shen, Bin, Lingfei Xiao, and Zhifeng Ye. "A Full Envelope Robust Linear Parameter-Varying Control Method for Aircraft Engines." Aerospace 10, no. 9 (2023): 769. http://dx.doi.org/10.3390/aerospace10090769.

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In order to solve the problem of full flight envelope control for aircraft engines, the design of a linear parameter-varying (LPV) controller is described in this paper. First, according to the nonlinear aerodynamic model of the aircraft engine, the LPV engine model for the controller design is obtained through the Jacobian linearization and fitting technique. Then, the flight envelope is divided into several sub-regions, and the intersection of adjacent sub-regions is not empty. The sub-region LPV controller is designed using the parameter-dependent Lyapunov function (PDLF)-based LPV synthesi

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14

Lao-atiman, Woranunt, Sorin Olaru, Sette Diop, et al. "Linear parameter-varying model for a refuellable zinc–air battery." Royal Society Open Science 7, no. 12 (2020): 201107. http://dx.doi.org/10.1098/rsos.201107.

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Due to the increasing trend of using renewable energy, the development of an energy storage system (ESS) attracts great research interest. A zinc–air battery (ZAB) is a promising ESS due to its high capacity, low cost and high potential to support circular economy principles. However, despite ZABs' technological advancements, a generic dynamic model for a ZAB, which is a key component for effective battery management and monitoring, is still lacking. ZABs show nonlinear behaviour where the steady-state gain is strongly dependent on operating conditions. The present study aims to develop a dyna

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15

Mesbahi, Afshin, and Javad Mohammadpour Velni. "Cooperative Output Regulation of Multiagent Linear Parameter-Varying Systems." Mathematical Problems in Engineering 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/8489308.

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The output regulation problem is examined in this paper for a class of heterogeneous multiagent systems whose dynamics are governed by polytopic linear parameter-varying (LPV) models. The dynamics of the agents are decoupled from each other but the agents’ controllers are assumed to communicate. To design the cooperative LPV controllers, analysis conditions for closed-loop system are first established to ensure stability and reference tracking. Then, the LPV control synthesis problem is addressed, where the offline solution to a time-varying Sylvester equation will be used to determine and upd

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16

Wang, Ming Hao, Gang Liu, and Hong Qing Hou. "Polytopic Decomposition of the Linear Parameter-Varying Model Based on HOSVD." Applied Mechanics and Materials 203 (October 2012): 142–47. http://dx.doi.org/10.4028/www.scientific.net/amm.203.142.

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For the solution of an infinite number of LMI in the parameters trajectory of LPV system, a method based on the tensor product transformation is proposed to tranform the LPV system into the convex polytopic structure. Firstly, discretizing the given LPV system within the interzone of the changing parameters and storing it into a tensor, and then using higher order singular value decomposition (HOSVD), discarding smaller and non-zero singular values and their corresponding singular vectors, reconstructing the reduced-rank tensor to obtain a finite number of LTI vertex systems. The final example

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17

Facerias, Marc, Vicenç Puig, and Eugenio Alcala. "Zonotopic Linear Parameter Varying SLAM Applied to Autonomous Vehicles." Sensors 22, no. 10 (2022): 3672. http://dx.doi.org/10.3390/s22103672.

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This article presents an approach to address the problem of localisation within the autonomous driving framework. In particular, this work takes advantage of the properties of polytopic Linear Parameter Varying (LPV) systems and set-based methodologies applied to Kalman filters to precisely locate both a set of landmarks and the vehicle itself. Using these techniques, we present an alternative approach to localisation algorithms that relies on the use of zonotopes to provide a guaranteed estimation of the states of the vehicle and its surroundings, which does not depend on any assumption of th

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18

Han, Bin, and Hongyan Gao. "Linear Parameter-Varying Model Predictive Control for Hydraulic Wind Turbine." Actuators 11, no. 10 (2022): 292. http://dx.doi.org/10.3390/act11100292.

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Wind speed uncertainty and measurement noise affect the control effect in hydraulic wind turbine systems. This paper proposes a model predictive control (MPC) method with a dynamic Kalman filter (KF) based on a linear parameter-varying (LPV) model to address this problem. First of all, the LPV model for a nonlinear system of a hydraulic wind turbine is established using function substitution. Then, a LPV-based KF is introduced into the MPC to provide more precise estimated results and improve the anti-interference ability of the system. According to the current condition of the hydraulic wind

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19

Liu, Minghao, Xuan Sun, Baixing Zhang, Kaixuan Qi, Xiangyu Lv, and Chenglin Shi. "Research on linear parameter varying modeling method of ball screw feed system." Journal of Physics: Conference Series 2174, no. 1 (2022): 012071. http://dx.doi.org/10.1088/1742-6596/2174/1/012071.

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Abstract To realize the accurate motion control of the ball screw feed system, it is necessary to establish a reasonable dynamic model. However, the dynamic characteristics of the ball screw feed system are time-varying and nonlinear in practice. Therefore, a Linear Parameter Varying (LPV) modeling method is proposed. Firstly, the rigid body model considering the mechanical and electrical characteristics and the flexible body model considering the change of table position and workpiece mass are established, and the model parameters are further identified. Then, the LPV model is established bas

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20

Lee, Lawton H., and Kameshwar Poolla. "Identification of Linear Parameter-Varying Systems Using Nonlinear Programming." Journal of Dynamic Systems, Measurement, and Control 121, no. 1 (1999): 71–78. http://dx.doi.org/10.1115/1.2802444.

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This paper deals with the identification of a linear parameter-varying (LPV) system whose parameter dependence can be written as a linear-fractional transformation (LFT). We formulate an output-error identification problem and present a parameter estimation scheme in which a prediction error-based cost function is minimized using nonlinear programming; its gradients and (approximate) Hessians can be computed using LPV filters and inner products, and identifiable model sets (i.e., local canonical forms) are obtained efficiently using a natural geometrical approach. Some computational issues and

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21

Hu, Dawei, Gangyan Li, Guoming Zhu, Zihao Liu, and Yingxu Wang. "A Control-Oriented Linear Parameter-Varying Model of a Commercial Vehicle Air Brake System." Applied Sciences 10, no. 13 (2020): 4589. http://dx.doi.org/10.3390/app10134589.

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This paper presents a control-oriented LPV (Linear Parameter-Varying) model for commercial vehicle air brake systems, where a pneumatic valve actuator is used to control the brake chamber pressure. To improve the brake system response time and reduce the vehicle stopping distance, the traditional treadle valves used in the air brake system are replaced by electro-pneumatic valves. Also, to develop the model-based brake control strategy, a nonlinear mathematical model is developed based on Newton’s second law, fluid dynamics of the orifice, force balance of spool, and solenoid dynamic character

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Uchihori, Hiroshi, Luca Cavanini, Mitsuhiko Tasaki, et al. "Linear Parameter-Varying Model Predictive Control of AUV for Docking Scenarios." Applied Sciences 11, no. 10 (2021): 4368. http://dx.doi.org/10.3390/app11104368.

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A control system for driving an Autonomous Underwater Vehicle (AUV) performing docking operations in presence of tidal current disturbances is proposed. The nonlinear model of the vehicle has been modelled in a Linear Parameter-Varying (LPV) form. This is suitable for the design of the control system using a model-based approach. The LPV model was used for a Model Predictive Control (MPC) design for computing the set of forces and moments driving the nonlinear vehicle model. The LPV-MPC control action is mapped into the reference signals for the actuators by using a Thrust Allocation (TA) algo

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23

Li, Shanzhi, Abdel Aitouche, and Nicolai Christov. "Fault-Tolerant Control of Wind Turbine System Using Linear Parameter-Varying Model." Mathematical Problems in Engineering 2022 (July 14, 2022): 1–10. http://dx.doi.org/10.1155/2022/1290639.

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This paper proposes a fault-tolerant control scheme for WTS with actuator faults and disturbance, based on a linear parameter-varying (LPV) model. First, a LPV model of WTS subject to disturbances and actuator fault is obtained. Using this model, unknown input observer (UIO) is developed to estimate the WTS fault and state variables. Then, an integral tracking controller for LPV systems is developed. Based on the Lyapunov and H ∞ theory, the convergence of UIO and the stability of the closed-loop system are analyzed and ensured. The proposed fault-tolerant controller is applied to a wind turbi

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24

Liu, Chunsheng, Ke Lu, Jingliang Sun, and Jiao Dai. "Fault tolerant control with disturbance estimator for a class of linear parameter varying systems subject to time-varying fault." Transactions of the Institute of Measurement and Control 41, no. 13 (2019): 3836–46. http://dx.doi.org/10.1177/0142331219841111.

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This paper proposes a sliding-mode control (SMC) scheme for a class of linear parameter varying (LPV) systems subject to a loss of control effectiveness and external disturbance. The LPV model is transformed into the non-LPV model representation. The updating law for unknown time-varying fault and the disturbance estimator are designed. The novel sliding-mode fault tolerant control (FTC) law is presented by using estimated fault and estimated disturbance to compensate the effects of faults in both cases: the known and the partial known system matrices. The stability analysis of closed-loop sys

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25

He, Xing, Wei Jiang, and Caisheng Jiang. "Robust Controller Designing for an Air-Breathing Hypersonic Vehicle with an HOSVD-Based LPV Model." International Journal of Aerospace Engineering 2021 (December 3, 2021): 1–12. http://dx.doi.org/10.1155/2021/7570059.

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This paper focuses on the linear parameter varying (LPV) modeling and controller design for a flexible air-breathing hypersonic vehicle (AHV). Firstly, by selecting the measurable altitude and velocity as gain-scheduled variables, the original longitudinal nonlinear model for AHV is transformed into the LPV model via average gridding division, vertex trimming, Jacobian linearization, and multiple linear regression within the entire flight envelope. Secondly, using the tensor product model transformation method, the obtained LPV model is converted into the polytopic LPV model via high-order sin

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26

Weiser, Christian, Daniel Ossmann, and Gertjan Looye. "Design and flight test of a linear parameter varying flight controller." CEAS Aeronautical Journal 11, no. 4 (2020): 955–69. http://dx.doi.org/10.1007/s13272-020-00461-y.

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Abstract Future aircraft generations require improved performance and efficiency to enable a reduced environmental footprint. To acquire this goal, for example new material and wing concepts are perused at the moment by the aircraft industry. These developments, which include aspects such as over-actuation and lowly damped flexible modes, give rise to more complex, multi-objective control problems. One candidate method, which delivers a solution to these problems for the whole flight envelope, is linear parameter varying (LPV) control. It naturally incorporates the controller scheduling in the

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Szabó, Ádám, Tamás Bécsi, Szilárd Aradi, and Péter Gáspár. "LPV-Based Controller Design of a Floating Piston Pneumatic Actuator." Actuators 9, no. 4 (2020): 98. http://dx.doi.org/10.3390/act9040098.

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The paper presents the modeling and control design of a floating piston pneumatic gearbox actuator using a grid-based Linear Parameter Varying approach. First, the nonlinear model of the pneumatic actuator is presented, then it is transformed into a 6th order Linear Parameter Varying representation with endogenous scheduling parameters. The model is simplified based on empirical considerations to solve the controller synthesis and allow fast controller tuning. The developed Linear Parameter Varying controller is tested in simulations. Moreover, using a balanced truncation-model order reduction

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28

Hong, Boe-S., Asok Ray, and Vigor Yang. "Output Feedback Linear Parameter Varying (LPV) L2-gain Control." Journal of Dynamic Systems, Measurement, and Control 125, no. 3 (2003): 485–89. http://dx.doi.org/10.1115/1.1591805.

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This brief paper synthesizes an output feedback L2-gain Control law for linear parameter varying (LPV) systems. The control law is embedded with an observer that does not require on-line measurements of the scheduling parameter variation rate. Results of simulation experiments are presented to evaluate the control law on a simulation experiments on a two-degree-of-freedom mass-spring-damper system.

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Forrai, Alexandru, Takaharu Ueda, and Takashi Yumura. "Electromagnetic Actuator Control: A Linear Parameter-Varying (LPV) Approach." IEEE Transactions on Industrial Electronics 54, no. 3 (2007): 1430–41. http://dx.doi.org/10.1109/tie.2007.893077.

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Rotondo, Damiano, Vasso Reppa, Vicenç Puig, and Fatiha Nejjari. "Adaptive Observer for Switching Linear Parameter-Varying (LPV) Systems." IFAC Proceedings Volumes 47, no. 3 (2014): 1471–76. http://dx.doi.org/10.3182/20140824-6-za-1003.00242.

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Saeed, Azmat, Aamer I. Bhatti, and Fahad M. Malik. "LMIs-Based LPV Control of Quadrotor with Time-Varying Payload." Applied Sciences 13, no. 11 (2023): 6553. http://dx.doi.org/10.3390/app13116553.

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Applications of a quadrotor with payload, particularly for chemical spraying, have increased in recent times. The variation in payload mass over time causes a change in the moments of inertia (MOI). Moreover, large tilt angles are required for fast reference tracking and external disturbance rejection. These variations in plant parameters (i.e., mass and inertia) and large tilt angles can degrade the control scheme’s performance and stability. This article proposes a linear matrix inequalities (LMIs)-based linear parameter varying (LPV) control scheme for a quadrotor subject to time-varying ma

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Chen, Fenghua, Xinguo Qiu, Khalid A. Alattas, Ardashir Mohammadzadeh, and Ebrahim Ghaderpour. "A New Fuzzy Robust Control for Linear Parameter-Varying Systems." Mathematics 10, no. 18 (2022): 3319. http://dx.doi.org/10.3390/math10183319.

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The linear parameter-varying (LPV) models have broad applications in advanced mathematics and modern control systems. This paper introduces a new method for controlling the LPV systems. This method includes the gain-scheduled state-feedback technique and a fuzzy system to calculate the state-feedback gain. The main goal of the control system is to stabilize the system and bring its states to equilibrium points. Linear matrix inequalities calculate feedback gains to stabilize the system. On the other hand, a fuzzy control system also produces a combined signal with the primary controller signal

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Yamashita, Makoto, Masami Saeki, Nobutaka Wada, and Izumi Masubuchi. "Gain Scheduling Controller Design for Two-Rotor Hovering System and its Experimental Verification." Journal of Robotics and Mechatronics 18, no. 5 (2006): 589–97. http://dx.doi.org/10.20965/jrm.2006.p0589.

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We propose two design methods of a gain scheduling controller for flight control of two-rotor hovering system. We first propose a method of converting whole dynamics of the hovering system to a linear parameter-varying (LPV) system at once. Secondly, we propose a method of linearizing longitudinal dynamics of the system exactly and converting remaining dynamics to an LPV system. In both cases, the state feedback gain scheduling controller is designed for the obtained LPV system by solving a convex optimization problem with linear matrix inequality (LMI) constraints. Experimental results show t

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Sanjuan, Adrián, Damiano Rotondo, Fatiha Nejjari, and Ramon Sarrate. "An Lmi–Based Heuristic Algorithm for Vertex Reduction in LPV Systems." International Journal of Applied Mathematics and Computer Science 29, no. 4 (2019): 725–37. http://dx.doi.org/10.2478/amcs-2019-0054.

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Abstract The linear parameter varying (LPV) approach has proved to be suitable for controlling many non-linear systems. However, for those which are highly non-linear and complex, the number of scheduling variables increases rapidly. This fact makes the LPV controller implementation not feasible for many real systems due to memory constraints and computational burden. This paper considers the problem of reducing the total number of LPV controller gains by determining a heuristic methodology that combines two vertices of a polytopic LPV model such that the same gain can be used in both vertices

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Dalila, Khamari, Makouf Abdessalem, Drid Said, and Larbi Chrifi-Alaoui. "Robust linear parameter varying induction motor control with polytopic models." Serbian Journal of Electrical Engineering 10, no. 2 (2013): 335–48. http://dx.doi.org/10.2298/sjee121218008d.

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This paper deals with a robust controller for an induction motor which is represented as a linear parameter varying systems. To do so linear matrix inequality (LMI) based approach and robust Lyapunov feedback controller are associated. This new approach is related to the fact that the synthesis of a linear parameter varying (LPV) feedback controller for the inner loop take into account rotor resistance and mechanical speed as varying parameter. An LPV flux observer is also synthesized to estimate rotor flux providing reference to cited above regulator. The induction motor is described as a pol

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Abdalla, Musa, and Tamir Shagarin. "Industrial Process Control Using LPV." Modern Applied Science 11, no. 9 (2017): 39. http://dx.doi.org/10.5539/mas.v11n9p39.

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An industrial process control application of level and temperature is considered. The nonlinear mathematical model of the system is cast as a linear parameter varying (LPV) system. A linear matrix inequality (LMI) type of controller is successfully designed using the LMI unified approach to regulating both controlled variables, namely; temperature and level. The closed loop system is then implemented through computer simulation to show the effectiveness of the controller in performing the combined level-temperature regulation. Basically, this combined level and temperature industrial control a

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Liu, Jizhen, Yang Hu, and Zhongwei Lin. "State-FeedbackH∞Control for LPV System Using T-S Fuzzy Linearization Approach." Mathematical Problems in Engineering 2013 (2013): 1–18. http://dx.doi.org/10.1155/2013/169454.

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This paper discusses the linear parameter varying (LPV) gain scheduling control problem based on the Takagi-Sugeno (T-S) fuzzy linearization approach. Firstly, the affine nonlinear parameter varying (ANPV) description of a class of nonlinear dynamic processes is defined; that is, at any scheduling parameter, the corresponding system is affine nonlinear as usual. For such a class of ANPV systems, a kind of developed T-S fuzzy modeling procedure is proposed to deal with the nonlinearity, instead of the traditional Jacobian linearization approach. More concretely, the evaluation system for the ap

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Zhang, Feng, Karolos M. Grigoriadis, Matthew A. Franchek, and Imad H. Makki. "Linear Parameter-Varying Lean Burn Air-Fuel Ratio Control for a Spark Ignition Engine." Journal of Dynamic Systems, Measurement, and Control 129, no. 4 (2007): 404–14. http://dx.doi.org/10.1115/1.2745849.

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Maximization of the fuel economy of the lean burn spark ignition (SI) engine strongly depends on precise air-fuel ratio control. A great challenge associated with the air-fuel ratio feedback control is the large variable time delay in the exhaust system. In this paper, a systematic development of an air-fuel ratio controller based on post lean NOx trap (LNT) oxygen sensor feedback using linear parameter-varying (LPV) control is presented. Satisfactory stability and disturbance rejection performance is obtained in the face of the variable time delay. The LPV controller is simplified to an expli

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Ma, Song Hui, Peng Yuan Shao, and Cheng Fu Wu. "LPV Based Robust Gain – Scheduling Control for Transient Mode of Morphing UAV." Advanced Materials Research 622-623 (December 2012): 1368–72. http://dx.doi.org/10.4028/www.scientific.net/amr.622-623.1368.

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Robust Gain-Scheduling control based on Linear Parameter-Varying (LPV) system is researched in theory and applied to transient mode control of a morphing wing UAV (MUAV). H∞ output feedback control method is extended to the LPV system via parameterized LMIs. In application, LPV model of MUAV is established using the Jacobian linearization method, based on which an LPV controller is designed using the proposed method to control the attitudes of transient mode in morphing process, the problem of high frequency dynamics is found and solved by a robust pole constraint method. Monte-Carlo simulatio

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Hadian, Mohsen, Amin Ramezani, and Wenjun Zhang. "Robust Model Predictive Controller Using Recurrent Neural Networks for Input–Output Linear Parameter Varying Systems." Electronics 10, no. 13 (2021): 1557. http://dx.doi.org/10.3390/electronics10131557.

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This paper develops a model predictive controller (MPC) for constrained nonlinear MIMO systems subjected to bounded disturbances. A linear parameter varying (LPV) model assists MPC in dealing with nonlinear dynamics. In this study, the nonlinear process is represented by an LPV using past input–output information (LPV-IO). Two primary objectives of this study are to reduce online computational load compared with the existing literature of MPC with an LPV-IO model and to confirm the robustness of the controller in the presence of disturbance. For the first goal, a recurrent neural network (RNN)

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Xie, Wei. "Quadratic Stabilization of LPV System by an LTI Controller Based on ILMI Algorithm." Mathematical Problems in Engineering 2007 (2007): 1–9. http://dx.doi.org/10.1155/2007/28262.

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A linear time-invariant (LTI) output feedback controller is designed for a linear parameter-varying (LPV) control system to achieve quadratic stability. The LPV system includes immeasurable dependent parameters that are assumed to vary in a polytopic space. To solve this control problem, a heuristic algorithm is proposed in the form of an iterative linear matrix inequality (ILMI) formulation. Furthermore, an effective method of setting an initial value of the ILMI algorithm is also proposed to increase the probability of getting an admissible solution for the controller design problem.

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Bumroongsri, P. "An Offline Formulation of MPC for LPV Systems Using Linear Matrix Inequalities." Journal of Applied Mathematics 2014 (2014): 1–13. http://dx.doi.org/10.1155/2014/786351.

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An offline model predictive control (MPC) algorithm for linear parameter varying (LPV) systems is presented. The main contribution is to develop an offline MPC algorithm for LPV systems that can deal with both time-varying scheduling parameter and persistent disturbance. The norm-bounding technique is used to derive an offline MPC algorithm based on the parameter-dependent state feedback control law and the parameter-dependent Lyapunov functions. The online computational time is reduced by solving offline the linear matrix inequality (LMI) optimization problems to find the sequences of explici

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Alhmoud, Lina, and Ali Khudhair Al-Jiboory. "Synthesis Conditions for LPV Controller with Input Covariance Constraints." Open Engineering 9, no. 1 (2019): 144–50. http://dx.doi.org/10.1515/eng-2019-0018.

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AbstractIn this paper, novel synthesis conditions for state-feedback Linear Parameter Varying (LPV) controller with Input Covariance Constraints (ICC) are developed. The synthesis conditions achieve the following design requirements 1) some constraints need to be satisfied on the control energy and 2) optimizing the performance outputs for the entire parameter space of the LPV system. These conditions are formulated as convex optimization problem with Parameterized Linear Matrix Inequalities (PLMIs) constraints. The effectiveness of the proposed approach is illustrated through numerical exampl

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Rodriguez, Carlos, Karina A. Barbosa, and Daniel Coutinho. "Robust Filtering for Discrete-Time Linear Parameter-Varying Descriptor Systems." Symmetry 12, no. 11 (2020): 1871. http://dx.doi.org/10.3390/sym12111871.

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This paper deals with robust state estimation for discrete-time, linear parameter varying (LPV) descriptor systems. It is assumed that all the system state-space matrices are affine functions of the uncertain parameters and both the parameters and their variations are bounded functions of time with known minimum and maximum values. First, necessary and sufficient conditions are proposed for admissibility and bounded realness for discrete linear time-varying (DLTV) descriptor systems. Next, two convex optimisation based methods are proposed for designing admissible stationary linear descriptor

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Shu, Xin Yu, Pablo Ballesteros, and Christian Bohn. "Active Rejection of Harmonic Disturbances with Nonstationary Harmonically Related Frequencies Using Varying-Sampling-Time LPV Control." Solid State Phenomena 248 (March 2016): 19–26. http://dx.doi.org/10.4028/www.scientific.net/ssp.248.19.

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This paper presents a method for the active noise and vibration control (ANC/AVC) of harmonically related nonstationary disturbances using varying-sampling-time linear parameter-varying (LPV) controller. The frequencies are assumed to be known and varying within given ranges and they are multiples of one fundamental frequency.

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Khan, Awais, Xiaoshan Bai, Bo Zhang, and Peiguang Yan. "Interval State Estimator Design for Linear Parameter Varying (LPV) Systems." IEEE Transactions on Circuits and Systems II: Express Briefs 68, no. 8 (2021): 2865–69. http://dx.doi.org/10.1109/tcsii.2021.3057107.

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Hu, Yanmei, Guangren Duan, and Feng Tan. "Control of LPV systems subject to state constraints and input saturation." Transactions of the Institute of Measurement and Control 40, no. 14 (2018): 3985–93. http://dx.doi.org/10.1177/0142331217742964.

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This paper deals with the stabilization of state-constrained linear parameter-varying systems subject to parameter uncertainties and input saturation. Based on a class of parameter-dependent Lyapunov functions, and the set invariance, sufficient conditions for the stabilization problem of the linear parameter-varying systems are established in terms of parameterized linear matrix inequalities. Further, these conditions are converted into linear matrix inequalities by using a parameter relaxation technique. Finally, detailed simulation results are presented to illustrate the effectiveness of th

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Wang, Yan Tao, Xin Wang, Rui Zhi Zhang, and Xing Hua Zhang. "Delay-Dependent Robust Strictly Dissipative Analysis for a Class of Singular LPV Systems with Delays." Advanced Materials Research 490-495 (March 2012): 391–95. http://dx.doi.org/10.4028/www.scientific.net/amr.490-495.391.

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Delay-dependent robust strictly dissipative analysis for a class of singular linear parameter-varying (LPV) systems with delays is investigated in this paper. By constructing a proper Lyapunov functional and using matrix inequality techniques, a delay-dependent robust strictly dissipativity criterion for a class of singular LPV systems with delays is derived. A numerical example is presented to demonstrate the effectiveness of the proposed method.

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Wen, Nuan, Zhenghua Liu, Yang Sun, and Lingpu Zhu. "Design of LPV-Based Sliding Mode Controller with Finite Time Convergence for a Morphing Aircraft." International Journal of Aerospace Engineering 2017 (2017): 1–20. http://dx.doi.org/10.1155/2017/8426348.

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This paper proposes a finite time convergence sliding mode control (FSMC) strategy based on linear parameter-varying (LPV) methodology for the stability control of a morphing aircraft subject to parameter uncertainties and external disturbances. Based on the Kane method, a longitudinal dynamic model of the morphing aircraft is built. Furthermore, the linearized LPV model of the aircraft in the wing transition process is obtained, whose scheduling parameters are wing sweep angle and wingspan. The FSMC scheme is developed into LPV systems by applying the previous results for linear time-invarian

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Ahmed, Mostak, Hiroaki Mukaidani, and Tadashi Shima. "H∞ Constraint Pareto Optimal Strategy for Stochastic LPV Systems." International Game Theory Review 20, no. 02 (2018): 1750031. http://dx.doi.org/10.1142/s0219198917500311.

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[Formula: see text] constraint Pareto optimal strategy for stochastic linear parameter varying (LPV) systems with multiple decision makers is investigated. The modified stochastic bounded real lemma and linear quadratic control (LQC) for the stochastic LPV systems are reformulated by means of linear matrix inequalities (LMIs). In order to decide the strategy set of multiple decision makers, Pareto optimal strategy is considered for each player and the [Formula: see text] constraint is imposed. The solvability conditions of the problem are established from cross-coupled matrix inequalities (CCM

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