Common stabilizers for linear control systems in the presence of actuators outage

This paper presents common stabilizers for linear control systems when actuators happen to fail. The possible outage of actuators examined in this study are not confined to a pre-specified set. By finding common quadratic-type Lyapunov functions, we obtain sufficient conditions for the existence of common stabilizers. For cases where all the possible failed actuators belonged to a pre-specified set, the results presented in this paper agree with those obtained by Veillette in 1995. The control gain of common stabilizer for non-nested case is explicitly derived to guarantee system stability. A simplified checking condition for the existence of common stabilizers is also obtained for the extreme case when only single actuator can normally operate.

• Type: Journal
• Year: 2006
• Where: AMC
• Authors: Yew-Wen Liang, Der-Cherng Liaw
• Keywords: Actuator, AMC 2006, Common Quadratic-type Lyapunov, Common Stabilizers