Dynamic output feedback control of discrete switched system with time delay

Dynamic output feedback (DOF) control problem is investigated for linear discrete switched systems with time delay. Based on multiple Lyapunov-Krasovskii functional, an approach to design control law is proposed by dynamic output feedback. The parameters of DOF controller are obtained by solving a set of linear matrix inequalities (LMIs). The result presented in this paper is time delay independent.

[1]  Yuanqing Xia,et al.  Robust control of state delayed systems with polytopic type uncertainties via parameter-dependent Lyapunov functionals , 2003, Syst. Control. Lett..

[2]  J. Bernussou,et al.  Robust dynamic output feedback control for switched systems , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[3]  Xi Li,et al.  Delay-dependent robust H control of uncertain linear state-delayed systems , 1999, Autom..

[4]  Zidong Wang,et al.  H∞ Reliable Control of Uncertain Linear State Delayed Systems , 2004 .

[5]  Robin J. Evans,et al.  Robust output feedback stabilizability via controller switching , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[6]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[7]  Trifon G. Koussiouris,et al.  Frequency-domain conditions for disturbance rejection and decoupling with stability or pole placement , 1996, Autom..

[8]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[9]  Jamal Daafouz,et al.  Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach , 2002, IEEE Trans. Autom. Control..

[10]  Umit Ozguner,et al.  Stability of a set of matrices: an application to hybrid systems , 1995, Proceedings of Tenth International Symposium on Intelligent Control.

[11]  Jong Hae Kim,et al.  Robust controller design for uncertain systems with time delays: LMI approach , 1996, Autom..

[12]  U. Ozguner,et al.  Stability of hybrid systems , 1994, Proceedings of 1994 9th IEEE International Symposium on Intelligent Control.