Stochastic stability analysis of fault-tolerant control systems in the presence of noise

Author

Mahmoud, Mufeed ; Jiang, Jin ; Zhang, Youmin

Author_Institution

Dept. of Electr. & Comput. Eng., Univ. of Western Ontario, London, Ont., Canada

Volume

46

Issue

11

fYear

2001

fDate

11/1/2001 12:00:00 AM

Firstpage

1810

Lastpage

1815

Abstract

The stochastic stability of fault tolerant control systems (FTCSs) in the presence of noise are,analyzed using the Lyapunov function approach. In particular, the FTCS with a Markovian fault detection and isolation process having transition probabilities conditioned on the state of another Markovian process representing component failures, is considered. The almost sure asymptotic stability in probability and the exponential stability in the mean square are considered. Specifically, a testable necessary and sufficient condition for the exponential stability in the mean square is derived. A numerical example is presented to illustrate the theoretical analysis

Keywords

Markov processes; asymptotic stability; fault tolerance; noise; probability; robust control; Lyapunov function; Markov process; asymptotic stability; exponential stability; fault-tolerant control; mean square; noise; probability; stochastic stability; Asymptotic stability; Control systems; Fault detection; Fault tolerant systems; Lyapunov method; Stability analysis; Stochastic resonance; Stochastic systems; Sufficient conditions; Testing;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.964697

Filename

964697