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Persistent bounded disturbance rejection for uncertain time-delay systems

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Języki publikacji
EN
Abstrakty
EN
This paper considers the problem of persistent bounded disturbance rejection for a class of time-delay systems with parametric uncertainty by Lyapunov function and positively invariant set analysis method. Sufficient conditions for internal stability and L1-performance analysis are given in terms of linear matrix inequalities (LMIs). Based on the results, a simple approach to the design of a linear state-feedback controller is presented to stabilize robustly the uncertain time-delay systems and achieve a desired level of disturbance attenuation. All the obtained conditions are delay-dependent. A numerical example is included to illustrate the proposed method.
Rocznik
Strony
593--607
Opis fizyczny
Bibliogr. 17 poz., wykr.
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autor
autor
  • Department of Automation and Engineering, Northeastern University at Quinhuangdao, Quinhuangdao 066004, Hebei, P.R. China, sun7661@126.com
Bibliografia
  • ABEDOR, J., NAGPAL, K. and POOLA, K. (1996) A linear matrix inequality approach to peak-to-peak gain minimization. Int. J. Robust Nonlinear Control 6, 899-927.
  • BLANCHINI, F. and SZNAIER, M. (1995) Persistent disturbance rejection via static-state feedback. IEEE Trans. Autom. Control 40 (6), 1127-1131.
  • BOBILLO, I.J.D. and DAHLEH, M.A. (1992) State feedback l1 optimal controllers can be dynamic. Syst. Contr. Lett. 19 (1), 87-93.
  • HAO, F., CHU, T., HUANG, L. and WANG, L. (2002) Non-fragile controllers of peak gain minimization for uncertain systems via LMI approach. Dynamics of Continuous, Discrete and Impulsive Systems 10, 681-693.
  • HAO, F., CHU, T., HUANG, L. and WANG, L. (2003) Persistent bounded disturbance rejection for impulsive systems. IEEE Transactions on Circuits and Systems 50 (1), 785-788.
  • JAFAROV, E.M. (2005) Robust sliding mode controllers design techniques for stabilization of multivariable time-delay systems with parameter perturbations and external disturbances. Internal. J. Systems Sci. 36 (7), 433-444.
  • JEUNG, E.T., OH, D.C., KIM, J.H. and PARK, H.B. (1996) Robust controller design for uncertain systems with time delays: LMI approach. Automatica J. IFAC 32 (8), 1229-1231.
  • KHARGONEKAR, P.P., PETERSEN, I.R. and ZHOU, K. (1990) Robust stabilization of uncertain systems and H∞ optimal control. IEEE Trans. Automa. Contr. 35 (3), 351-361.
  • KWON, O.M., PARK, J.H., LEE, S.M. and WON, S.C. (2006) LMI optimization approach to observer-based controller design of uncertain time-delay systems via delayed feedback. J. Optim. Theory Appl. 128 (1), 103-117.
  • LI, Y. and JIAN, C. (1999) An LMI approach to guaranteed cost control of linear uncertain time-delay systems. Automatica J. IFAC 35 (6), 1155-1159.
  • LIN, H., ZHAI, G. and ANTSAKLIS, P.J. (2003) Output set-valued observer design for a class of uncertain linear systems with persistent disturbance. American Control Conference 3, 1902-1907.
  • MAHMOUD, M.S., SHI, P. and SHI, Y. (2003) Output feedback stabilization and disturbance attenuation of time-delay jumping systems. IMA J. Math. Control Inform 20 (2), 179-199.
  • PETERSEN, L.R. (1987) A stabilization algorithm for a class of uncertain linear systems. Systems and Control Letters 8 (4), 351-357.
  • SZITA, G. and SANATHANAN, C.K. (1997) Robust design for disturbance rejection in time delay systems. J. Franklin Inst. B 334 (4), 611-629.
  • TANG, G., ZHANG, B. and MA, H. (2004) Feedforward and feedback optimal control for linear discrete systems with persistent disturbances. Control, Automation, Robotics and Vision Conference 3, 1658-1663.
  • VIDYASAGAR, M. (1986) Optimal refection of persistent bounded disturbances. IEEE Trans. Automat. Contr. 3 (6), 527-535.
  • VIDYASAGAR, M. (1991) Further results on the optimal refection of persistent bounded disturbances. IEEE Trans. Automat. Contr. 36 (6), 642-652.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0041-0007
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