Reliable linear-quadratic control for singularly perturbed systems

This paper studies the reliable linear-quadratic (LQ) state-feedback control for singularly perturbed systems. By time-scale decomposition, the full-order system is decomposed into the slow and fast subsystems. The reliable composite control law is given based on the designs of the two subsystems. The designed composite control guarantees the robust stability and LQ performance of the full-order closed-loop system despite any actuator outages within a selected subset of actuators. An illustrative example is presented to demonstrate the approach addressed in this paper.