Stability and persistent disturbance attenuation properties for a class of networked control systems: switched system approach

• Published in: International journal of control Vol. 78; no. 18; pp. 1447 - 1458
• Main Authors: Lin, H., Antsaklis, P. J.
• Format: Journal Article
• Language: English
• Published: London Taylor & Francis Group 15-12-2005; Taylor & Francis
• Subjects: Applied sciences; Computer science; control theory; systems; Control system analysis; Control system synthesis; Control theory. Systems; Exact sciences and technology; Miscellaneous; Modelling and identification; Asymptotic stability; Control; Necessary and sufficient condition; Network; Discrete time; Attenuation; System
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207170500329182

In this paper, both the asymptotic stability and l
∞
persistent disturbance attenuation issues are investigated for a class of networked control systems (NCSs) under bounded uncertain access delay and packet dropout effects. The basic idea is to formulate such NCSs as discrete-time switched systems with arbitrary switching. Then the NCSs' stability and performance problems can be reduced to the corresponding problems of such switched systems. The asymptotic stability problem is considered first, and a necessary and sufficient condition is derived for the NCSs' asymptotic stability based on robust stability techniques. Secondly, the NCSs' l
∞
persistent disturbance attenuation properties are studied and an algorithm is introduced to calculate the l
∞
induced gain of the NCSs. The decidability issue of the algorithm is also discussed. A network controlled integrator system is used throughout the paper for illustration.