Title :
Stochastic stability of fault tolerant control systems with model uncertainties
Author :
Mahmoud, Mufeed ; Jiang, Jin ; Zhang, Youmin
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Western Ontario, London, Ont., Canada
Abstract :
In this paper, the stochastic stability of fault tolerant control systems (FTCS) in the presence of modeling uncertainties and noise has been studied using Lyapunov function approach. In particular, FTCS with Markovian parameters in the presence of white Gaussian noise and unknown time-varying but bounded uncertainties are considered. Testable necessary and sufficient conditions for the exponential stability in the mean square are derived. A numerical example is presented to demonstrate the theory
Keywords :
Gaussian noise; Lyapunov methods; Markov processes; asymptotic stability; fault tolerance; stability criteria; stochastic systems; uncertain systems; white noise; FTCS; Lyapunov function; Markovian parameters; exponential stability; fault tolerant control systems; model uncertainties; noise; stochastic stability; testable necessary and sufficient conditions; unknown time-varying bounded uncertainties; white Gaussian noise; Control system synthesis; Fault tolerant systems; Gaussian noise; Lyapunov method; Stability; Stochastic resonance; Stochastic systems; Sufficient conditions; Testing; Uncertainty;
Conference_Titel :
American Control Conference, 2000. Proceedings of the 2000
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-5519-9
DOI :
10.1109/ACC.2000.877029
