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Reliable guaranteed cost robust control for a class of uncertain switched linear systems

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The problem of reliable guaranteed cost robust control for a class of uncertain switched linear systems containing actuator failures is addressed in this paper. In earlier papers, the reliable controller design methods are all based on a basic assumption that the never failed actuators must stabilize a given system. But when actuators suffer "serious failure" - the never failed actuators cannot stabilize the system, the previous design methods of reliable guaranteed cost control do not work. Based on the switching technique, the problem can be solved by means of switching among subsystems. A sufficient condition for the existence of the state feedback reliable guaranteed cost controller is obtained by using multiple-Lyapunov function method. Furthermore, a convex optimization approach with LMIs constraints is introduced to select the optimal guaranteed cost controller. Finally, a simulation example illustrates the effectiveness of the approach proposed.
Czasopismo
Rocznik
Strony
21--31
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
autor
  • School of Information Science and Engineering, Northeastern University Shenyang, Liaoning, 110004, P. R. China
autor
  • School of Information Science and Engineering, Northeastern University Shenyang, Liaoning, 110004, P. R. China
Bibliografia
  • [1] Branicky M. S., Multiple Lyapunov functions and other analysis tools for switched and hybrid systems. IEEE Trans. Automat. Contr., 43(4), 1998, 475-482.
  • [2] Liberzon D., Morse A. S., Basic problems in stability and design of switched systems, IEEE Control System Magazine, 19(5), 1999, 59-70
  • [3] Gollu A., Varaiya p. p., Hybrid dynamical system. Proc. 28th IEEE Conf. Decision and Control, Tampa, FL, Dec. 1989, 2708-2712.
  • [4] Jeon D., Tomizuka M., Learning hybrid force and position control of robot manipulators , IEEE Trans, on Robotics Automatic, 9 (4), 1993, 423-431.
  • [5] Zhao J., Spong M. W., Hybrid control for global stabilization of the cart-pendulum system. Automática, 37(12), 2001, 1941-1951.
  • [6] Liberzon D., Switching in Systems and Control, Birkhauser, Boston, 2003.
  • [7] Sun Z. D., Ge S. S., Switched Linear Systems - Control and Design, Springer-Verlag, New York, 2004.
  • [8] Zhao J., Dimirovski G. M., Quadratic stability of a class of switched nonlinear systems, IEEE Trans. Automat. Contr., 49(4), 2004, 574-578.
  • [9] Yang G. H., Wang J. L., Yeng Y. C., Reliable guaranteed cost control for uncertain nonlinear systems, lEEET Trans. Automatic Control., 45 (11). 2000,2188-2192.
  • [10] Yang G. H., Wang J. L., Son Y. C., Guaranteed Cost Control for discrete-time linear systems under controller gain perturbations. Linear Algebra and its Applications, 312(1-3), 2000, 161-180.
  • [11] Yee J. S., Yang G. H., Wang J. L., Resilient guaranteed cost control to tolerant actuator failures for discrete-time uncertain linear systems, lEE Proc. Control Theory Appl., 147(3), 2000, 277-284.
  • [12] Huang S. D., Lam J., Yang G. H., Reliable linear-quadratic control for symmetric composite systems, International Journal of Systems Science, 32(1), 2001, 73-82.
  • [13] Yang G. H., Lam J., Wang J. L., Reliable H., control for affine nonlinear systems, IEEE Trans. Automat. Contr., 43(8), 1998, 1112-1117.
  • [14] Zhao Q., Jiang J., Reliable state feedback control system design against actuator failures. Automática, 34(10), 1998, 1267-1272.
  • [15] Gao J. P., Huang B., Wang Z. D., Fisher D. G., Robust reliable control for a class of uncertain nonlinear systems with time-varying multistate time delays. International Journal of Systems Science. 32(7), 2001, 817-824.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0011-0043
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