Stability analysis of linear time-invariant systems with controller failures

Author

Guisheng Zhai ; Takai, Shigemasa ; Yasuda, Kazunori

Author_Institution

Fac. of Syst. Eng., Wakayama Univ., Wakayama, Japan

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

138

Lastpage

142

Abstract

We consider a controller failure time analysis problem for linear time-invariant feedback control systems consisting of an unstable system and a stabilizing state feedback controller. Both continuous-time and discrete-time systems are considered. By using a piecewise Lya-punov function, we show that if the unavailability rate of the controller is smaller than a specified constant and the average time interval between controller failures is large enough, then global exponential stability of the system is guaranteed.

Keywords

Lyapunov methods; asymptotic stability; continuous time systems; discrete time systems; linear systems; state feedback; time-varying systems; continuous-time systems; controller failure time analysis problem; discrete-time systems; global exponential stability; linear time-invariant feedback control systems; piecewise Lyapunov function; state feedback controller; unstable system; Control theory; Lyapunov methods; Stability analysis; State feedback; Linear time-invariant system; average time between controller failures; controller failure; piecewise Lyapunov function; unavailability rate;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7075895