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Robust delay-free observer-based controller design for uncertain neutral time delay systems

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This paper deals with the problem of designing robust delay-free observer-based controller for a class of neutral time delay systems with parameter uncertainties. A new linear matrix inequality approach is developed for designing the robust delay-free state-feedback controller that can simultaneously guarantee the global asymptotical stability of the estimation process and closed-loop system independently of the time delay. Employing Lyapunov stability method and quadratic stability theory, new delay-independent stability criteria are obtained in the form of linear matrix inequalities which can be easily solved by well-known interior-point algorithms. Two numerical examples are introduced to demonstrate the effectiveness of the proposed method through simulation studies.
Czasopismo
Rocznik
Strony
27--43
Opis fizyczny
Bibliogr. 16 poz., rys.
Twórcy
Bibliografia
  • [1] BOUTAYEB ML, Observers design for linear time delay systems. Systems and Control Letters, 44, 2001, 103-109.
  • [2] BOYD S., EL-GHAOUI L., FERON E., BALAKRISHNAN V., Linear Matrix Inequalities in System and Control Theory, SIAM Studies in Applied Mathematics, New York 1994.
  • [3] CHEN B., LAM J., Xu S., New observer-based guaranteed cost control for neutral delay systems, Proc. Instn. Mech. Engrs: Journal of Systems and Control Engineering, 218, 2004, 227-235.
  • [4] Hou M., ZITEK P., PATTON R. J., An observer design for linear time-delay systems, IEEE Transactions on Automatic Control, 47, 2002, 121-125.
  • [5] IVANESCU D., NlCULESCU S.-I., DUGARD L.. DION J.-M., VERRIEST E. I., On delay-dependent stability for linear neutral systems, Automatica, 39, 2003, 255-261.
  • [6] LI X., DECARLO R. A., Robust controller and observer design for time delay systems, Proceedings of the American Conference, Anchorage, AK, May 8-10, 2002, 2210-2215.
  • [7] MAHMOUD M. S., ZRIBI M. Guaranteed cost observer-based control of uncertaintime-lag systems, Computers and Electrical Engineering, 29, 2003. 193-212.
  • [8] PARK J. H., On the design of observer-based controller of linear neutral delay-differential systems, Applied Mathematics and Computation, 150,2004, 195-202.
  • [9] PARK J. H., Robust guaranteed cost control for uncertain linear differential systems of neutral type, Applied Mathematics and Computation, 140, 2003, 523-535.
  • [10] TRINH H., ALDEN M., NAHAVANDI S., An observer design procedure for a class of nonlinear time-delay systems, Computers and Electrical Engineering. 30, 2004. 61-71.
  • [11] TRINH H., Linear functional state observer for time-delay systems, International Journal of Control, 72, 1999, 1642-1658.
  • [12] Xu S., LAM J., WANG J., YANG G.-H., Non-fragile positive real control for uncertain linear neutral delay systems. Systems and Control Letters, 52. 2004. 59-74.
  • [13] Xu S., LAM J., YANG C.. Robust stability analysis and stabilization for uncertain neutral delay systems, International Journal of Systems Science, 33. 2002. 1195-1206.
  • [14] WANG Z., UNBEHAUEN H., Nonlinear observers for a class of continuous-time uncertain stale-delayed systems, International Journal of Systems Science, 31. 2000. 555-562.
  • [I5] WANG Z., GOODALL D. P., BURNMAM K. J.. On designing observers for time-delay systems with nonlinear disturbances. International Journal of Control. 75, 2002a. 803-811.
  • [16] WANG Z., LAM J., BUKNHAM K. J., Stability analysis and observer design for neutral delay systems, IEEE Transactions on Automatic Control. 47. 2002b. 478-483.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0023-0003
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