15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
STABILITY OF FAULT TOLERANT CONTROL SYSTEMS DRIVEN BY ACTUATORS WITH SATURATION
Mufeed Mahmoud  Jin Jiang  Youmin Zhang
The University of Western Ontario
Department of Electrical and Computer Engineering
London, Ontario N6A 5B9, Canada
Phone: (519) 661-2111 ext. 88320, Fax: (519) 661-3488,
Email: {mmahmoud,jjiang,ymzhang}@uwo.ca

A Fault Tolerant Control System (FTCS) model subject to random faults and saturation in actuators is developed. Actuators are assumed to have non-linear saturation characteristics, they operate linearly within their limits and saturate to fixed levels if any limit is exceeded. This paper derives sufficient conditions for the exponential stability in the mean square for a FTCS with saturated actuators using Lyapunov’s second method. Sufficient conditions involve the solution of Riccati-like matrix equations. An algorithm to investigate the stability of the FTCS is constructed. Stability of other control models driven by actuators with saturation can be established as interesting special cases of this work. Theoretical results are illustrated by a numerical example.
Keywords: Fault Tolerant Control Systems, Actuator Saturation, Exponential Stability

E-mail: jjiang@uwo.ca
Session slot T-Fr-A21: Posters of Learning, Stochastic, Fuzzy and Nerural Systems/Area code 3d : Stochastic Systems