Switching controller for stabilization of linear systems with switched time-varying delays

This paper considers interval time-varying delay systems with delayed estimation of the delay. This case is often encountered in the Networked Control Systems (NCS) field. Based on Lyapunov-Krasovskii functional methods and linear matrix inequality (LMI) techniques, a switching state feedback controller is designed to guarantee the exponential stability. The controller switches according to the measured time-delay which is itself delayed. The global stability of the switching closed loop is guaranteed if some dwell time conditions are satisfied.

[1]  Jiang Wenjuan,et al.  A gain scheduling strategy for the control and estimation of a remote robot via Internet , 2008, 2008 27th Chinese Control Conference.

[2]  Jean-Pierre Richard,et al.  Time-delay systems: an overview of some recent advances and open problems , 2003, Autom..

[3]  D. D. Perlmutter,et al.  Stability of time‐delay systems , 1972 .

[4]  Daniel Liberzon,et al.  Switching in Systems and Control , 2003, Systems & Control: Foundations & Applications.

[5]  Long Wang,et al.  Stabilization of switched linear systems with time-delay in detection of switching signal , 2005 .

[6]  Long Wang,et al.  Stability of switched systems with time-varying delays: delay-dependent common Lyapunov functional approach , 2006, 2006 American Control Conference.

[7]  Jean Jacques Loiseau,et al.  Applications of Time Delay Systems , 1984 .

[8]  A. Morse,et al.  Stability of switched systems with average dwell-time , 1999, Proceedings of the 38th IEEE Conference on Decision and Control (Cat. No.99CH36304).

[9]  H. Özbay,et al.  STABILITY ANALYSIS OF SWITCHED TIME-DELAY SYSTEMS , 2005 .

[10]  A. Morse,et al.  Stability of switched systems: a Lie-algebraic condition ( , 1999 .

[11]  PooGyeon Park,et al.  Stability and robust stability for systems with a time-varying delay , 2007, Autom..

[12]  S. Niculescu.  Delay Effects on Stability: A Robust Control Approach , 2001 .

[13]  K. Narendra,et al.  A common Lyapunov function for stable LTI systems with commuting A-matrices , 1994, IEEE Trans. Autom. Control..

[14]  Emilia Fridman,et al.  New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems , 2001, Syst. Control. Lett..

[15]  Jamal Daafouz,et al.  Stability analysis for discrete time switched systems with temporary uncertain switching signal , 2007, 2007 46th IEEE Conference on Decision and Control.

[16]  Jun Zhao,et al.  Stability and L2-gain analysis for switched delay systems: A delay-dependent method , 2006, Autom..

[17]  Sandra Hirche,et al.  Towards Quality-of-Service control of networked control systems: A switched time delay systems approach , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[18]  Guo-Ping Liu,et al.  Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties , 2004, IEEE Transactions on Automatic Control.

[19]  S. Hirche,et al.  Performance Oriented Control over Networks -- Switching Controllers and Switched Time Delay -- , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

[20]  Qing-Guo Wang,et al.  Delay-range-dependent stability for systems with time-varying delay , 2007, Autom..