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New observer-based control design for mismatched uncertain systems with time-delay

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Języki publikacji
EN
Abstrakty
EN
In this paper, the state estimation problem for a class of mismatched uncertain time-delay systems is addressed. The estimation uses observer-based control techniques. The mismatched uncertain time-delay systems investigated in this study include mismatched parameter uncertainties in the state matrix and in the delayed state matrix. First, based on a new lemma with appropriately choosing Lyapunov functional, new results for stabilization of mismatched uncertain time-delay systems are provided on the basis of a linear matrix inequality (LMI) framework and the asymptotic convergence properties for the estimation error is ensured. Second, the control and observer gains are given from single LMI feasible solution which can overcome the drawback of the bilinear matrix inequalities approach often reported in the literature. Finally, a numerical example is used to demonstrate the efficacy of the proposed method.
Rocznik
Strony
597--610
Opis fizyczny
Bibliogr. 18 poz., rys., wykr., wzory
Twórcy
autor
  • Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam
Bibliografia
  • [1] X. G. Yan, S. K. Spurgeon and C. Edwards: Static output feedback sliding mode control for time-varying delay systems with time-delayed nonlinear disturbances. Int. J. of Robust and Nonlinear Control, 20(7), (2010), 777-788.
  • [2] X. G. Yan, S. K. Spurgeon and C. Edwards: Memoryless static output feedback sliding mode control for nonlinear systems with delayed disturbances. IEEE Trans. on Automatic Control, 59(7), (2014), 1906-1912.
  • [3] C. H. Lien: Robust observer-based control of systems with state perturbations via LMI approach. IEEE Trans. on Automatic Control, 49(8), (2004), 1365-1370.
  • [4] C. H. Lien: An efficient method to design robust observer-based control of uncertain linear systems. Applied Mathematics and Computation, 158(1), (2004), 29-44.
  • [5] C. H Lien and K.W. Yu: LMI optimization approach on robustness and H∞ control analysis for observer-based control of uncertain systems. Chaos, Solitons and Fractals, 36(3), (2008), 617-627.
  • [6] S. Wang and Y. Jiang: On LMI conditions to design observer-based controllers for linear systems with parameter uncertainties. Automatica, 49(12), (2013), 3700-3704.
  • [7] Y. Fu , W. Di, P. Zang and G. Duan: Design of unknown input observer with H∞, performance for linear time-delay systems. J. of Systems Engineering and Electronics, 17(3), (2006), 606-610.
  • [8] K. Natori: Stability analysis and practical design procedure of time delayed control systems with communication disturbance observer. IEEE Trans. on Industrial Informatics, 4(3), (2008), 185-197.
  • [9] H. Wu: Memoryless adaptive robust asymptotic state observers for a class of nonlinear time-delay systems. IET Control Theory Applications, 3(7), (2009), 843-851.
  • [10] M. C. Pai: Observer-based adaptive sliding mode control for nonlinear uncertain state-delayed systems. Int. J. of Control, Automation, and Systems, 7(4), (2009), 536-544.
  • [11] L. Li and Y. Jia: Observer-based resilient L2−L∞ control for singular time-delay systems. IET Control Theory Applications, 3(10), (2009), 1351-1362.
  • [12] J. Na, R. Grino, R. Costa-Castello, X. Ren and Q. Chen: Repetitive controller for time-delay systems based on disturbance observer. IET Control Theory Applications, 4(11), (2010), 2391-2404.
  • [13] X. G. Yan, K. S. Sarah and C. EdwardD: Sliding mode control for time-varying delayed systems based on a reduced-order observer. Automatica, 46(8), (2010), 1354-1362.
  • [14] J. Zhang, Y. Xia, P. Shi and M. S. Mamoud: New results on stability and stabilisation of systems with interval time-varying delay. IET Control Theory Applications, 5(3), (2011), 429-436.
  • [15] I. Salim: Observer-based control of a class of time-delay nonlinear systems having triangular structure. Automatica, 47(2), (2010), 388-394.
  • [16] R. Majeed, S. Admad, S and M. Rehan: Delay-range-dependent observerbased control of nonlinear systems under input and output time-delays. Applied Mathematics and Computation, 262 (2015), 145-159.
  • [17] J. Zhang and Y. Xia: Design of static output feedback sliding mode control for uncertain linear systems. IEEE Trans. on Industrial Electronics, 57(6), (2010), 2161-2170.
  • [18] S. Boyd, E. L. Ghaoui, E. Feron and V. Balakrishna: Linear Matrix Inequalities in System and Control theory, SIAM., Philadelphia, 1998.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-6458681c-3759-43d7-b9f0-c47b264f611e
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