Robust estimation of interconnected systems subject to sensor nonlinearities

SUMMARYAn efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections and subjected to sensor nonlinearities. The interconnections satisfy quadratic constraints with manipulated parameters and the sensor no...

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Published inOptimal control applications & methods Vol. 34; no. 6; pp. 656 - 669
Main Authors Mahmoud, Magdi S., AL-Sunni, Fouad M.
Format Journal Article
LanguageEnglish
Published Blackwell Publishing Ltd 01.11.2013
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ISSN0143-2087
1099-1514
DOI10.1002/oca.2045

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Abstract SUMMARYAn efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections and subjected to sensor nonlinearities. The interconnections satisfy quadratic constraints with manipulated parameters and the sensor nonlinearities are modeled as sector nonlinearities. The design procedure utilizes a general linear estimator structure and consists of two steps: the first giving a block‐diagonal Lyapunov matrix together with the robustness degree and the second determining the filter parameters. A numerical example is provided to illustrate the applicability of the method. Copyright © 2012 John Wiley & Sons, Ltd.
AbstractList An efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections and subjected to sensor nonlinearities. The interconnections satisfy quadratic constraints with manipulated parameters and the sensor nonlinearities are modeled as sector nonlinearities. The design procedure utilizes a general linear estimator structure and consists of two steps: the first giving a block‐diagonal Lyapunov matrix together with the robustness degree and the second determining the filter parameters. A numerical example is provided to illustrate the applicability of the method. Copyright © 2012 John Wiley & Sons, Ltd.
SUMMARYAn efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections and subjected to sensor nonlinearities. The interconnections satisfy quadratic constraints with manipulated parameters and the sensor nonlinearities are modeled as sector nonlinearities. The design procedure utilizes a general linear estimator structure and consists of two steps: the first giving a block‐diagonal Lyapunov matrix together with the robustness degree and the second determining the filter parameters. A numerical example is provided to illustrate the applicability of the method. Copyright © 2012 John Wiley & Sons, Ltd.
Author AL-Sunni, Fouad M.
Mahmoud, Magdi S.
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  email: Correspondence to: Magdi S. Mahmoud, Systems Engineering Department, King Fahd University of Petroleum and Minerals, P. O. Box 5067, Dhahran 31261, Saudi Arabia., msmahmoud@kfupm.edu.sa
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Mahmoud MS. Decentralized reliable control of interconnected systems with time-varying delays. Journal of Optimization Theory and Applications 2009; 143(2):497-518.
Wu LG, Su X, Shi P, Qiu J. Model approximation for discrete-time state-delay systems in the T-S fuzzy framework. IEEE Transactions on Fuzzy Systems 2011; 19(2): 366-378.
Elsayed A, Grimble MJ. A new approach to H∞ design of optimal digital linear filters. IMA Journal of Mathematical Control and Information 1989; 6(2):233-251.
Jiang X, Han QL. Delay-dependent H∞ filter design for linear systems with interval time-varying delay. IET Control Theory and Applications 2007; 1(4):1131-1140.
Mahmoud MS. Resilient L2∕L∞ filtering of polytopic systems with state-delays. IEE Proceedings Control Theory and Applications 2007; 1:141-154.
Al-Rayyah AY, Mahmoud MS. Decentralized reliable control of interconnected time-delays systems against sensor failures. Journal of Optimization Theory and Applications 2010; 147(2):318-336.
Mahmoud MS, Boujarwah AA. Robust H∞ filtering for a class of linear parameter-varying systems. IEEE Transactions on Circuits and Systems-I 2001; 48:1131-1138.
Khargonekar PP, Rotea MA, Baynes E. Mixed H2∕H∞ filtering. International Journal of Robust and Nonlinear Control 1996; 6:313-330.
Tarbouriech S, Garcia G, Glattfelder AH. Advanced Strategies in Control Systems with Input and Output Constraints. Springer-Verlag: Germany, 2007.
Mahmoud MS. Decentralized Control and Filtering for Interconnected Dynamical Systems. CRC Press: New York, 2010.
Hassan MF, Zribi M, Tawfik M. State estimation of constrained nonlinear discrete-time dynamical systems. International Journal of Innovative Computing, Information and Control 2010; 6(10):4449-4470.
Wu LG, Su X, Shi P, Qiu J. A new approach to stability analysis and stabilization of discrete-time T-S fuzzy time-varying delay systems. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 2011; 41(1):273-286.
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Mahmoud MS. Robust linear filtering of uncertain systems. Automatica 2004; 40:1797-1802.
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Zuo Z, Wang J, Huang L. Output feedback H∞ controller design for linear discrete-time systems with sensor nonlinearities. IEE Proceedings on Control Theory and Applications 2005; 152(1):19-26.
Mahmoud MS. Decentralized Systems with Design Constraints. Springer-Verlag: UK, 2011.
Fu M, de Souza CE, Xie L. H∞-estimation for uncertain systems. International Journal of Robust and Nonlinear Control 1992; 2:87-105.
Mahmoud MS, Almutairi NB. Decentralized stabilization of interconnected systems with time-varying delays. European Journal of Control 2009; 15(6):624-633.
Koplon RB, Sontag ED, Hantus MLJ. Observability of linear systems with saturated outputs. Linear Algebra Applications 1994; 205/206:909-936.
Su X, Shi P, Wu L, Song Y. A Novel approach to filter design for T-S fuzzy discrete-time systems with time-varying delay. IEEE Transactions on Fuzzy Systems. DOI: 10.1109/TFUZZ.2012.2196522.
Nagpal KM, Khargonekar PP. Filtering and smoothing in H∞ setting. IEEE Transactions on Automatic Control 1991; 36:152-166.
Mahmoud MS. Decentralized stabilization approach of interconnected discrete-time delay systems with bounded nonlinearities. IMA Journal of Mathematical Control and Information 2010; 27(2):165-188.
Yang Rm, Shi P, Liu GP. Filtering for discrete-time networked nonlinear systems with mixed random delays and packet dropouts. IEEE Transactions on Automatic Control 2011; 56(11):2655-2660.
Mahmoud MS, Hassan MF, Darwish MG. Large Scale Control Systems: Theories and Techniques. Marcel Dekker Inc.: New York, 1985.
Gao H, Lam J, Wang C. Induced L2 and generalized H2 filtering for systems with repeated scalar nonlinearities. IEEE Transactions on Signal Processingt 2005; 53(11):4215-4226.
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– reference: Cao Y, Lin Z, Chen B. An output feedback H∞ controller design for linear systems subject to sensor nonlinearities. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications 2003; 50(7):914-921.
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Snippet SUMMARYAn efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear...
An efficient robust LMI‐based scheme is developed for decentralized state‐estimation of linear interconnected systems with static nonlinear interconnections...
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SubjectTerms interconnected systems
robust estimation
sensor nonlinearities
Title Robust estimation of interconnected systems subject to sensor nonlinearities
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