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

This work presents common stabilizers for linear control systems when actuators happen to fail. The possible outage of actuators examined in this study is 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 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.