Stability and Persistent Disturbance Attenuation Properties for Networked Control Systems: Switched System Approach

Hai Lin and Panos J.Antsaklis

Intern. J. Control, Vol.78, No.18, pp.1447-1458, December 2005. 

Abstract—In this paper, both the asymptotic stability and l_inf 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 rst, and a necessary and suffcient condition is derived for the NCSs' asymptotic stability based on robust stability techniques. Secondly, the NCSs' l_inf persistent disturbance attenuation properties are studied, and an algorithm is introduced to calculate the l_inf 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.

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