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Journal articles on the topic 'System observability'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

Gu, Xiao Jie, Xin Min Wang, and Wen Chao Li. "Observability Analysis for TDOA Passive Localization System." Applied Mechanics and Materials 130-134 (October 2011): 2670–75. http://dx.doi.org/10.4028/www.scientific.net/amm.130-134.2670.

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Observability in passive location and tracking system is an important problem. This paper investigates the observability of multi-station time difference measurements system. For a 2D plane N orders movement target, three algorithms, linear system theory, nonlinear system theory and algebraic equations are used to demonstrate the observability of multi-station time difference of arrivals (TDOA) passive location and tracking system. The minimum of observation station and observation number are obtained when the targets are observability.

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Manurung, Midian. "KETEROBSERVASIAN SISTEM LINIER DISKRIT." Jurnal Matematika UNAND 4, no. 1 (2015): 108. http://dx.doi.org/10.25077/jmu.4.1.108-114.2015.

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Given the following discrete time-invariant linear control systems:where x 2 Rnx(t + 1) = Ax(t) + Bu(t);y(t) = Cx(t);is the state vector, u 2 Rmis an input vector, y 2 Rris dened as anoutput, A 2 Rnn, B 2 Rnm, and t 2 Zis dened as time. Linear system is said to beobservable on the nite time interval [t0; t+f] if any initial state xis uniquely determinedby the output y(t) over the same time interval. In order to examine the observabilityof the system, we will use a criteria, that is by determining the observability Gramianmatrix of the system is nonsingular and rank of the observability matrix

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Gerbet, Daniel, and Klaus Röbenack. "On the Nonlinear Observability of Polynomial Dynamical Systems." SYSTEM THEORY, CONTROL AND COMPUTING JOURNAL 1, no. 1 (2021): 88–94. http://dx.doi.org/10.52846/stccj.2021.1.1.15.

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Controllability and observability are important system properties in control theory. These properties cannot be easily checked for general nonlinear systems. This paper addresses the local and global observability as well as the decomposition with respect to observability of polynomial dynamical systems embedded in a higher-dimensional state-space. These criteria are applied on some example system.

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Caro, Eduardo, Ignacio Arévalo, Carolina García-Martos, and Antonio J. Conejo. "Power system observability via optimization." Electric Power Systems Research 104 (November 2013): 207–15. http://dx.doi.org/10.1016/j.epsr.2013.06.019.

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Liu, Jin, Jian-cheng Fang, Gang Liu, and Jin Wu. "Fractional differentiation-based observability analysis method for nonlinear X-ray pulsar navigation system." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 232, no. 8 (2017): 1467–78. http://dx.doi.org/10.1177/0954410017692368.

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In the traditional observability analysis methods, only current and a few historical measurement values are considered. For the linear systems, the satisfactory analysis results can be obtained. However, for the nonlinear systems, the analysis results are not completely in accordance with the navigation errors since the high-order nonlinearity of the navigation system is not embodied on the observability matrix. In order to solve this problem, a fractional differentiation-based observability analysis method is developed. Considering the fact that the fractional differentiation with respect to

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Ma, Yanhai, Jiancheng Fang, Wei Wang, and Jianli Li. "Decoupled Observability Analyses of Error States in INS/GPS Integration." Journal of Navigation 67, no. 3 (2014): 473–94. http://dx.doi.org/10.1017/s0373463313000829.

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The observability of error states in Inertial Navigation System/Global Positioning System (INS/GPS) integration is of great importance. Rank tests or null space tests of the observability matrix have been adopted by previous works, however, for a time-varying system with a high-dimension error state vector, it is very difficult to analyse the observability matrix by these traditional methods. In this paper, the decoupled observability analysis method is proposed for an 18-dimensional INS/GPS integration system. By reducing the dimension of coupling error states, several six-dimensional decoupl

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Fang, Qiang, and Xin Sheng Huang. "Global Observability Analysis IMU/Camera Integration." Applied Mechanics and Materials 380-384 (August 2013): 1069–72. http://dx.doi.org/10.4028/www.scientific.net/amm.380-384.1069.

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Vision-aided inertial navigation systems can provide precise state estimates for the 3-D motion of a vehicle. This is achieved by combining inertial measurements from an inertial measurement unit (IMU) with visual observations from a camera. Observability is a key aspect of the state estimation problem of INS/Camera. In most previous research, conservative observability concepts based on Lie derivatives have extensively been used to characterize the estimability properties. In this paper, we present a novel approache to investigate the observability of INS/Camera: global observability. The glo

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Rao, B. V. Appa, Rachel Kezia, and K. A. S. N. V. Prasad. "Controllability And Observability Of Kronecker Product Sylvester System On Time Scales." MATHEMATICAL JOURNAL OF INTERDISCIPLINARY SCIENCES 1, no. 1 (2012): 47–56. http://dx.doi.org/10.15415/mjis.2012.11004.

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Guangqian, Xing, and Peter M. Bainum. "Actuator Placement Using Degree of Controllability for Discrete-Time Systems." Journal of Dynamic Systems, Measurement, and Control 114, no. 3 (1992): 508–16. http://dx.doi.org/10.1115/1.2897376.

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In this paper some definitions of degree of controllability (observability), which is based on the scalar measure of the controllability (observability) Grammian matrix, are presented for discrete-time systems. The emphasis here is in showing the physical and geometrical meanings of the degree of controllability (observability) and the general properties of degree of controllability (observability). The concepts of degree of controllability are applied to the actuator placement problem for the shallow spherical sheel control system. The LQG transient responses for several typical systems with

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10

Hou, M., Th Schmidt, R. Schu¨pphaus, and P. C. Mu¨ller. "Normal Form and Luenberger Observer for Linear Mechanical Descriptor Systems." Journal of Dynamic Systems, Measurement, and Control 115, no. 4 (1993): 611–20. http://dx.doi.org/10.1115/1.2899188.

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Normal forms are presented for linear mechanical systems with holonomic and/or nonholonomic constraints. These forms provide deep insight into the peculiar system structure of constrained linear mechanical systems or the so-called linear mechanical descriptor systems. Based on these normal forms, an explicit observer design method is proposed under a weaker observability assumption, i.e., finite observability or reachable observability on the linear mechanical descriptor systems. The observer has the Luenberger observer form and provides the estimation of displacements, velocities, and constra

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Kaczorek, Tadeusz, and Łukasz Sajewski. "Relationship between controllability and observability of standard and fractional different orders discrete-time linear system." Fractional Calculus and Applied Analysis 22, no. 1 (2019): 158–69. http://dx.doi.org/10.1515/fca-2019-0010.

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Abstract The controllability and observability of fractional different orders discrete-time linear systems are analyzed. The relationship between controllability and observability of standard and fractional discrete-time linear systems are investigated. The influence of the fractional order on the controllability and observability is shown. Investigations are illustrated on numerical examples.

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Lozano-Galant, Jose, Enrique Castillo, María Nogal, and Jose Turmo. "Observability Method for Structural System Identification." IABSE Symposium Report 102, no. 7 (2014): 2977–84. http://dx.doi.org/10.2749/222137814814069660.

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13

Ammar, Sabeur, Hind Feki, and Jean-Claude Vivalda. "Observability under sampling for bilinear system." International Journal of Control 87, no. 2 (2013): 312–19. http://dx.doi.org/10.1080/00207179.2013.830338.

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Gadzhiev, Magomed, Eugenia Gulevich, Vyacheslav Korobka, Vladimir Ryabchenko, and Yuriy Sharov. "On the placing of synchronized vector measurements in network 110 - 330 kV for identification of the Kaliningrad region power system regime." E3S Web of Conferences 58 (2018): 01005. http://dx.doi.org/10.1051/e3sconf/20185801005.

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A solution is presented for the problem of placing phasor measurement unit to identify the mathematical model of the electric power system in the state space. The criterion for complete observability of the Kalman dynamic system is taken as a basis. As a method of solution, we use the canonical genetic algorithm. The complete observability of the power system is ensured by the application of the observability rule in the form of a recursive test of observability. The proposed approach is demonstrated by the arrangement of synchronized vector meters in the Kaliningrad region power system.

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15

Lazar, Martin. "Stability of observations of partial differential equations under uncertain perturbations." ESAIM: Control, Optimisation and Calculus of Variations 24, no. 1 (2017): 45–61. http://dx.doi.org/10.1051/cocv/2016074.

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We demonstrate the stability of observability estimates for solutions to wave and Schrödinger equations subjected to additive perturbations. This work generalises recent averaged observability/control results by allowing for systems consisting of operators of different types. We also consider the simultaneous observability problem by which one tries to estimate the energy of each component of a system under consideration. Our analysis relies on microlocal defect tools, in particular on standard H-measures when the main system dynamic is governed by the wave operator, and parabolic H-measures i

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Vazquez-Rodriguez, Santiago, Jesús Á. Gomollón, Richard J. Duro, and Fernando López Peña. "A Graph Approach to Observability in Physical Sparse Linear Systems." Journal of Applied Mathematics 2012 (2012): 1–26. http://dx.doi.org/10.1155/2012/305415.

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A sparse linear system constitutes a valid model for a broad range of physical systems, such as electric power networks, industrial processes, control systems or traffic models. The physical magnitudes in those systems may be directly measured by means of sensor networks that, in conjunction with data obtained from contextual and boundary constraints, allow the estimation of the state of the systems. The term observability refers to the capability of estimating the state variables of a system based on the available information. In the case of linear systems, diffierent graphical approaches wer

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Yasmin, Nusrat, Safia Mirza, Awais Younus, and Asif Mansoor. "Controllability and observability of linear impulsive adjoint dynamic system on time scale." Tamkang Journal of Mathematics 51, no. 3 (2020): 201–17. http://dx.doi.org/10.5556/j.tkjm.51.2020.2951.

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This paper deals with the controllability, observability of the solution of time-varying system on time scales. We obtain new results about controllability and observability and generalize to a time scale some known properties about stability from the continuous case.

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18

Chang, Wen-Jer. "Model-Based Fuzzy Controller Design With Common Observability Gramian Assignment." Journal of Dynamic Systems, Measurement, and Control 123, no. 1 (1998): 113–16. http://dx.doi.org/10.1115/1.1344241.

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Almost all robust properties of linear systems can be related directly to properties of the controllability or observability Gramian. A model-based fuzzy controller for a class of uncertain nonlinear systems will be developed in this paper to achieve a common observability Gramian. Design of a model-based fuzzy controller begins by assigning a certain common observability Gramian. The nonlinear systems considered in this paper are represented by Takagi-Sugeno fuzzy models. An application to the inverted pendulum system will be given to demonstrate the effects of the present design method.

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19

Koller, Tom L., and Udo Frese. "State Observability through Prior Knowledge: Analysis of the Height Map Prior for Track Cycling." Sensors 20, no. 9 (2020): 2438. http://dx.doi.org/10.3390/s20092438.

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Inertial navigation systems suffer from unbounded errors in the position and orientation estimates. This drift can be corrected by applying prior knowledge, instead of using exteroceptive sensors. We want to show that the use of prior knowledge can yield full observability of the position and orientation. A previous study showed that track cyclers can be tracked drift-free with an IMU as the only sensor and the knowledge that the bike drives on the track. In this paper, we analyze the observability of the pose in the experiment we conducted. Furthermore, we improve the pose estimation of the p

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20

Yang, B., and C. D. Mote. "Controllability and Observability of Distributed Gyroscopic Systems." Journal of Dynamic Systems, Measurement, and Control 113, no. 1 (1991): 11–17. http://dx.doi.org/10.1115/1.2896336.

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Controllability and observability of a class of distributed gyroscopic systems under pointwise actuators and sensors are presented. The equations of motion are cast in a state space form, in which orthogonality of the eigenfunctions is obtained. The controllability and observability conditions in finite dimensions are obtained for a model representing a truncated modal expansion of the distributed system. In infinite dimensions the controllability and observability conditions are obtained through semi-group theory. In both the finite and infinite dimensional models the conditions of controllab

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21

Erokhin, V. I., A. P. Kadochnikov, S. V. Sotnikov, A. A. Vaganov, and D. A. Valeryanov. "MODEL FOR ASSESSING SITUATIONAL AWARENESS OF SPACE SYSTEM." Issues of radio electronics, no. 3 (March 20, 2019): 83–91. http://dx.doi.org/10.21778/2218-5453-2019-3-83-91.

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The paper presents a mathematical model for assessing the situational awareness of the space system. The model includes a set of algorithms, the main ones being the algorithm for simulating the motion of a spacecraft in a highly elliptical orbit, the algorithm for determining the observability of a given controlled area by a given spacecraft in a highly elliptical orbit at a given time, and the algorithm for determining the observability of a given controlled area by a spacecraft in a geostationary orbit. The model allows the assessment of the information capabilities of a space system of vari

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22

Wang, Xiaogang, Wutao Qin, Yuliang Bai, and Naigang Cui. "Precision navigation system design for Moon penetrator." Aircraft Engineering and Aerospace Technology 88, no. 6 (2016): 791–98. http://dx.doi.org/10.1108/aeat-04-2015-0111.

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Purpose Penetrator plays an important role in the exploration of Moon and Mars. The navigation method is a key technology during the development of penetrator. To meet the high accuracy requirements of Moon penetrator, this paper aims to propose two kinds of navigation systems. Design/methodology/approach The line of sight of vision sensor between the penetrator and Moon orbiter could be utilized as the measurement during the navigation system design. However, the analysis of observability shows that the navigation system cannot estimate the position and velocity of penetrator, when the line o

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23

Bashian, Amir, Mohsen Assili, Amjad Anvari-Moghaddam, and João P. S. Catalão. "Optimal Design of a Wide Area Measurement System Using Hybrid Wireless Sensors and Phasor Measurement Units." Electronics 8, no. 10 (2019): 1085. http://dx.doi.org/10.3390/electronics8101085.

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Real-time monitoring of the power system by phasor measurement units (PMUs) leads to the development of such devices in a wide area measurement system (WAMS). However, the power system observability cannot be obtained by employing only PMUs. The communication infrastructure (CI) is a significant part of the WAMS that has to be optimally designed and implemented to collect data from PMUs and deliver them to control centers. In this paper, a novel hybrid wireless sensor network is proposed for the connection of PMUs throughout the system to enable convenient and low-cost communication media. The

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Al-Saphory, Raheam A. Mansor. "Strategic Sensors and Regional Exponential Observability." ISRN Applied Mathematics 2011 (August 16, 2011): 1–13. http://dx.doi.org/10.5402/2011/673052.

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The aim of this paper is to introduce the concept of regional exponential observability in connection with the strategic sensors. Then, we give characterization of such sensors in order that regional exponential observability can be achieved. The obtained results are applied to two-dimensional systems, and various cases of sensors are considered. We also show that there exists a dynamical system for diffusion system which is not exponentially observable in the usual sense but it may be regionally exponentially observable.

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25

Yang, B. "Modal Controllability and Observability of General Mechanical Systems." Journal of Vibration and Acoustics 117, no. 4 (1995): 510–15. http://dx.doi.org/10.1115/1.2874491.

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Controllability and observability are studied for general mechanical systems with combined effects of damping, gyroscopic and circulatory forces. A new modal analysis is proposed to represent the system transfer functions by the nonorthogonal eigenvectors that are associated with the original equations of motion. Investigation of linear independence of the rows and columns of the transfer functions yields the modal controllability and observability conditions. Because of their explicit relationships with the vibration modes, the controllability and observability tests require less computation

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Paradowski, Thomas, Sabine Lerch, Michelle Damaszek, Robert Dehnert, and Bernd Tibken. "Observability of Uncertain Nonlinear Systems Using Interval Analysis." Algorithms 13, no. 3 (2020): 66. http://dx.doi.org/10.3390/a13030066.

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In the field of control engineering, observability of uncertain nonlinear systems is often neglected and not examined. This is due to the complex analytical calculations required for the verification. Therefore, the aim of this work is to provide an algorithm which numerically analyzes the observability of nonlinear systems described by finite-dimensional, continuous-time sets of ordinary differential equations. The algorithm is based on definitions for distinguishability and local observability using a rank check from which conditions are deduced. The only requirements are the uncertain model

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Murali, A., and K. Hari Kishore. "Integrated and effective in-system debugging approach in FPGA circuits." International Journal of Engineering & Technology 7, no. 1.5 (2017): 7. http://dx.doi.org/10.14419/ijet.v7i1.5.9070.

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This paper explores the new approaches for trace-based and In-system debugging of high level synthesis-generated hardware. The presented approach also exhibits the use of the Event Observability Ports (EOP) which provides the source level event observability in the hardware. To trace the events, the use of the independent trace buffers also known as Event Observability Buffers (EOB) is also discussed. The EOB has the signal that specifies the enabling the data storage and allows the storage decisions cycle-by-cycle which are to be made on the basis of EOB-by-EOB. The proposed approach also rev

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Eller, Matthias M. "Continuous Observability for the Anisotropic Maxwell System." Applied Mathematics and Optimization 55, no. 2 (2007): 185–201. http://dx.doi.org/10.1007/s00245-006-0886-x.

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FENG, YUHU, MIN CHEN, and LIANGJIAN HU. "ON THE OBSERVABILITY OF CONTINUOUS-TIME DYNAMIC FUZZY CONTROL SYSTEMS." International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 15, no. 01 (2007): 75–91. http://dx.doi.org/10.1142/s0218488507004388.

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This paper studies the observability of the initial value of continuous-time dynamic fuzzy control systems. The sufficient and necessary conditions for the initial value of fuzzy control system to be observable are given. A concept called strong observability is introduced and a sufficient condition for the initial value of system to be strongly observable is discussed. The fuzzy logic description of input-output relations using IF-THEN rule base is presented.

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AL-MULLAH, Shahad, and Raheam Al-Saphory. "REGIONAL EXPONENTIAL REDUCED OBSERVABILITY IN DISTRIBUTED PARAMETER SYSTEMS." JOURNAL OF ADVANCES IN MATHEMATICS 11, no. 4 (2015): 5058–74. http://dx.doi.org/10.24297/jam.v11i4.1256.

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The regional exponential reduced observability concept in the presence for linear dynamical systems is addressed for a class of distributed parameter systems governed by strongly continuous semi group in Hilbert space. Thus, the existence of necessary and sufficient conditions is established for regional exponential reduced estimator in parabolic infinite dimensional systems. More precisely, the introduced approach is developed by using the decomposed system and reduced system in connection with various new concepts of (stability, detectability, estimator, observability and strategic sensors).

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Luo, Na, Yonghong Tan, and Ruili Dong. "Observability and Controllability Analysis for Sandwich Systems with Backlash." International Journal of Applied Mathematics and Computer Science 25, no. 4 (2015): 803–14. http://dx.doi.org/10.1515/amcs-2015-0057.

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Abstract In this paper, an approach to analyze the observability and controllability of sandwich systems with backlash is proposed. In this method, a non-smooth state-space function is used to describe the sandwich systems with backlash which are also non-smooth non-linear systems. Then, a linearization method based on non-smooth optimization is proposed to derive a linearized state-space function to approximate the non-smooth sandwich systems within a bounded region around the equilibrium point that we are interested in. Afterwards, both observability and controllability matrices are construc

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Li, Yao, Yong Li, Chris Rizos, and Xiao Su Xu. "Observability Analysis of SINS/GPS during In-Motion Alignment Using Singular Value Decomposition." Advanced Materials Research 433-440 (January 2012): 5918–23. http://dx.doi.org/10.4028/www.scientific.net/amr.433-440.5918.

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The in-motion alignment of a SINS/GPS integrated system uses the GPS velocity and position as observations, hence the SINS position and velocity errors are instantaneously observable. However the attitude error is not directly observable, it is important to find a way to improve the observability of attitude error because the degree-of-observability of the attitude error affects the accuracy of alignment. In this paper, the singular value decomposition (SVD) method is used to analyze the degree-of-observability of SINS/GPS during in-motion alignment. Simulations involving nine typical maneuver

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Ayesa, E., J. Flórez, L. Larrea, and J. L. García-Heras. "Evaluation of Sensitivity and Observability of the State Vector for System Identification and Experimental Design." Water Science and Technology 28, no. 11-12 (1993): 209–18. http://dx.doi.org/10.2166/wst.1993.0660.

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This paper presents two new algorithms to evaluate numerically the state and coefficient's observability and sensitivity in dynamic models. The observability algorithm computes the numerical condition of observability matrix as an index of the ability to identify the unknown states or coefficients. The sensitivity algorithm quantifies dynamically the influence of unknown variables on measurable variables. Both algorithms are useful tools to predict the identification accuracy and to design the best operational conditions to estimate each one of the unknown parameters. The algorithms have been

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Leitold, Daniel, Agnes Vathy-Fogarassy, and Janos Abonyi. "Network Distance-Based Simulated Annealing and Fuzzy Clustering for Sensor Placement Ensuring Observability and Minimal Relative Degree." Sensors 18, no. 9 (2018): 3096. http://dx.doi.org/10.3390/s18093096.

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Network science-based analysis of the observability of dynamical systems has been a focus of attention over the past five years. The maximum matching-based approach provides a simple tool to determine the minimum number of sensors and their positions. However, the resulting proportion of sensors is particularly small when compared to the size of the system, and, although structural observability is ensured, the system demands additional sensors to provide the small relative order needed for fast and robust process monitoring and control. In this paper, two clustering and simulated annealing-ba

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Xiao, Yaqi, Xuanying Zhou, Jiongqi Wang, Zhangming He, and Haiyin Zhou. "Observability Analysis and Navigation Filter Optimization of High-Orbit Satellite Navigation System Based on GNSS." Applied Sciences 10, no. 21 (2020): 7513. http://dx.doi.org/10.3390/app10217513.

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Global Navigation Satellite System (GNSS) can be applied for the navigation of the high-orbit satellites. The system observability will change due to the changes in the visible satellite numbers and the spatial geometry between the navigation satellites and the users in the navigation system. The influence of the observability changing is not considered in the traditional navigation filter algorithm. In this paper, an optimized navigation filter method based on observability analysis is proposed. Firstly, a novel criterion for the relative observable degree is proposed for each observation com

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Al-Saphory, Raheam, and Hind K. Kolaib. "Regional Boundary Strategic Sensors Characterizations." JOURNAL OF ADVANCES IN MATHEMATICS 14, no. 2 (2018): 7834–50. http://dx.doi.org/10.24297/jam.v14i2.6368.

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This paper, deals with the linear infinite dimensional distributed parameter systems in a Hilbert space where the dynamics of system is governed by strongly continuous semi-groups. More precisely, for parabolic distributed systems the characterizations of regional boundary strategic sensors have been discussed and analyzed in different cases of regional boundary observability in infinite time interval. Furthermore, the results so obtained are applied in two-dimensional systems and sensors studied under which conditions guarantee regional boundary observability in a sub-region of the system dom

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Jiang, De Ning, and Tulu Muluneh Mekonnen. "INS/GPS/MNS Integrated Navigation System with Federated Kalman Filtering." Advanced Materials Research 718-720 (July 2013): 1207–12. http://dx.doi.org/10.4028/www.scientific.net/amr.718-720.1207.

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A multi-sensor integrated solution that combine complementary features of the Global Positioning System (GPS), inertial navigation system (INS), and magnetometer is presented due to GPS-aided inertial navigation system (INS) provides poor observability of heading angle. In addition, Based on the principle of federated Kalman filtering and Adaptive Extended Kalman Filter, the algorithm is presented also for accuracy of positioning and attitude, rapidity, and error tolerance of the navigation system. The algorithm is implemented in the integrated navigation system. Experimental results show that

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De la Sen, M. "On the Properties of Reachability, Observability, Controllability, and Constructibility of Discrete-Time Positive Time-Invariant Linear Systems with Aperiodic Choice of the Sampling Instants." Discrete Dynamics in Nature and Society 2007 (2007): 1–23. http://dx.doi.org/10.1155/2007/84913.

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This paper investigates the properties of reachability, observability, controllability, and constructibility of positive discrete-time linear time-invariant dynamic systems when the sampling instants are chosen aperiodically. Reachability and observability hold if and only if a relevant matrix defining each of those properties is monomial for the set of chosen sampling instants provided that the continuous-time system is positive. Controllability and constructibility hold globally only asymptotically under close conditions to the above ones guaranteeing reachability/observability provided that

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Villaverde, Alejandro F. "Observability and Structural Identifiability of Nonlinear Biological Systems." Complexity 2019 (January 1, 2019): 1–12. http://dx.doi.org/10.1155/2019/8497093.

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Observability is a modelling property that describes the possibility of inferring the internal state of a system from observations of its output. A related property, structural identifiability, refers to the theoretical possibility of determining the parameter values from the output. In fact, structural identifiability becomes a particular case of observability if the parameters are considered as constant state variables. It is possible to simultaneously analyse the observability and structural identifiability of a model using the conceptual tools of differential geometry. Many complex biologi

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Al-Saphory, Raheam A. M. "REGIONAL EXPONENTIAL GENERAL OBSERVABILITY IN DISTRIBUTED PARAMETER SYSTEMS." JOURNAL OF ADVANCES IN MATHEMATICS 11, no. 4 (2015): 5167–83. http://dx.doi.org/10.24297/jam.v11i4.1262.

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The purpose of this paper is to explore the concept of regional exponential general observability for a class of distributed parameter systems, in connection with the regional strategic sensors. Then, we give characterization of the strategic sensors in order that exponential regional general observability can be achieved. Furthermore, we apply these results to one and two dimensional systems, and various cases of sensors are considered and discussed. We also show that there exists a dynamical system for diffusion system is not exponentially general observable in the usual sense, but it may be

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Ma, Peng, Fu Bin Zhang, De Min Xu, and Shao Kun Yang. "Observability Analysis for MAUVs Cooperative Navigation System Based on Moving Long Baseline." Applied Mechanics and Materials 475-476 (December 2013): 609–15. http://dx.doi.org/10.4028/www.scientific.net/amm.475-476.609.

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This paper addresses the observability problem of 2D Multiple Autonomous Underwater Vehicles (MAUVs) cooperative navigation system. We derive the conditions to keep the local weak observability of navigation system using the Lie derivatives, and characterize the unobservable trajectories of AUVs. We design a series of simulation experiments using the Extended Kalman Filter (EKF) to verify the theoretical results. Finally, the simulation results show that the good performance of navigation system can be presented if avoiding the unobservable trajectories of AUVs.

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Hyacinth, Lourdusamy Ramya, and Venugopal Gomathi. "Optimal PMU Placement Technique to Maximize Measurement Redundancy Based on Closed Neighbourhood Search." Energies 14, no. 16 (2021): 4782. http://dx.doi.org/10.3390/en14164782.

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This paper proposes a method for the optimal placement of phasor measurement units (PMUs) for the complete observability of a power system based on the degree of the neighbourhood vertices. A three-stage algorithm is used to determine the minimum number of PMUs needed to make the system observable. The key objective of the proposed methodology is to minimize the total number of PMUs to completely observe a power system network and thereby minimize the installation cost. In addition, the proposed technique also focuses on improving the measurement redundancy. The proposed method is applied on s

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Musthofa, Muhammad Wakhid, and Ari Suparwanto. "Keteramatan Sistem Deskriptor Kontinu." Jurnal Fourier 1, no. 1 (2012): 39. http://dx.doi.org/10.14421/fourier.2012.11.39-45.

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In this paper the observability of continuous descriptor system of the form Ex(t)= Ax(t) Bu(t), x(0)=x0 will be studied, where E,A, and B are constant matrices that may be singular and u(t) is piecewise continuous function which is differentiated (m-1) times, where m is the degree of nilpotency system. Two definitions about observability of descriptor systems along with their characterizations given by Dai and Yip will be both discussed, then further the relationship and comparison between these characterizations will be presented.

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MOLNÁR, S., M. GÁMEZ, and I. LÓPEZ. "OBSERVATION OF NONLINEAR VERTICUM-TYPE SYSTEMS APPLIED TO ECOLOGICAL MONITORING." International Journal of Biomathematics 05, no. 06 (2012): 1250051. http://dx.doi.org/10.1142/s1793524512500519.

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In this paper the concept of a nonlinear verticum-type observation system is introduced. These systems are composed from several "subsystems" connected sequentially in a particular way: a part of the state variables of each "subsystem" also appears in the next "subsystem" as an "exogenous variable" which can also be interpreted as a control generated by an "exosystem". Therefore, these "subsystems" are not observation systems, but formally can be considered as control-observation systems. The problem of observability of such systems can be reduced to rank conditions on the "subsystems". Indeed

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Liu, Ketao, Robert N. Jacques, and David W. Miller. "Frequency Domain Structural System Identification by Observability Range Space Extraction." Journal of Dynamic Systems, Measurement, and Control 118, no. 2 (1996): 211–20. http://dx.doi.org/10.1115/1.2802306.

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This paper presents the Frequency Domain Observability Range Space Extraction (FORSE) identification algorithm. FORSE is a singular value decomposition based identification algorithm which constructs a state space model directly from frequency domain data. The concept of system identification by observability range space extraction was developed by generalizing the Q-Markov Covariance Equivalent Realization and Eigensystem Realization Algorithm. The numerical properties of FORSE are well behaved when applied to multi-variable and high dimensional structural systems. It can achieve high modelin

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Hu, Zhentao, Tianxiang Chen, Quanbo Ge, and Hebin Wang. "Observable Degree Analysis for Multi-Sensor Fusion System." Sensors 18, no. 12 (2018): 4197. http://dx.doi.org/10.3390/s18124197.

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Multi-sensor fusion system has many advantages, such as reduce error and improve filtering accuracy. The observability of the system state is an important index to test the convergence accuracy and speed of the designed Kalman filter. In this paper, we evaluate different multi-sensor fusion systems from the perspective of observability. To adjust and optimize the filter performance before filtering, in this paper, we derive the expression form of estimation error covariance of three different fusion methods and discussed both observable degree of fusion center and local filter of fusion step.

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Li, Xipu, and Neil Goodzeit. "Observability of a Geosynchronous Spacecraft Attitude Determination System." Journal of Guidance, Control, and Dynamics 26, no. 6 (2003): 972–78. http://dx.doi.org/10.2514/2.6925.

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Persis, C. De, and A. Isidori. "On the observability codistributions of a nonlinear system." Systems & Control Letters 40, no. 5 (2000): 297–304. http://dx.doi.org/10.1016/s0167-6911(00)00014-1.

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Crainic, E. D., X. D. Do, and D. F. Mukhedkar. "Power Network Observability Guidelines for Measurement System Design." IFAC Proceedings Volumes 21, no. 11 (1988): 481–89. http://dx.doi.org/10.1016/s1474-6670(17)53784-2.

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Baldwin, T. L., L. Mili, M. B. Boisen, and R. Adapa. "Power system observability with minimal phasor measurement placement." IEEE Transactions on Power Systems 8, no. 2 (1993): 707–15. http://dx.doi.org/10.1109/59.260810.

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