Robust stability and disturbance attenuation analysis of a class of networked control systems

In this paper, stability and disturbance attenuation issues for a class of networked control systems (NCSs) under uncertain access delay and packet dropout effects are considered. Our aim is to find conditions on the delay and packet dropout rate, under which the system stability and H/sup /spl infin// disturbance attenuation properties are preserved to a desired level. The basic idea in this paper is to formulate such networked control system as a discrete-time switched system. Then the NCSs' stability and performance problems can be reduced to corresponding problems for the switched systems, which have been studied for decades and for which a number of results are available in the literature. The techniques in this paper are based in the discrete-time switched systems and piecewise Lyapunov functions.

[1]  D. Delchamps Stabilizing a linear system with quantized state feedback , 1990 .

[2]  P. Gahinet,et al.  A linear matrix inequality approach to H∞ control , 1994 .

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

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

[5]  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).

[6]  R. Decarlo,et al.  Perspectives and results on the stability and stabilizability of hybrid systems , 2000, Proceedings of the IEEE.

[7]  Daniel Liberzon,et al.  Quantized feedback stabilization of linear systems , 2000, IEEE Trans. Autom. Control..

[8]  Bo Hu,et al.  Disturbance attenuation properties of time-controlled switched systems , 2001, J. Frankl. Inst..

[9]  Nicola Elia,et al.  Stabilization of linear systems with limited information , 2001, IEEE Trans. Autom. Control..

[10]  Wei Zhang,et al.  Stability of networked control systems , 2001 .

[11]  A. Michel,et al.  Qualitative analysis of discrete-time switched systems , 2002, Proceedings of the 2002 American Control Conference (IEEE Cat. No.CH37301).

[12]  Bruce A. Francis,et al.  Limited Data Rate in Control Systems with Networks , 2002 .

[13]  G. Zhai Stability and /spl Hscr/;/sub /spl infin// disturbance attenuation analysis for LTI control systems with controller failures , 2002, Proceedings of the 41st IEEE Conference on Decision and Control, 2002..

[14]  Mihail L. Sichitiu,et al.  Total delay compensation in LAN control systems and implications for scheduling , 2003, Int. J. Syst. Sci..