Static-feedback guaranteed cost control for linear systems with outage and loss of effectiveness actuator faults

Abstract

This paper investigates the static-feedback guaranteed cost control problem for linear systems with actuator faults including outage and loss of effectiveness. Under the actuator redundancy condition, theoretical analysis shows that a static-feedback guaranteed cost controller can always be well designed to ensure that the resulting closed-loop system is stable with desirable quadratic performance. In particular, the feedback gain can be determined through the solution of a modified algebraic Riccati equation. Furthermore, extension to the system with uncertainties is further studied. Compared with the dynamic feedback controller, the static-feedback controller consists only of logical gates/modules and it does not require any memory element, and hence it is simplest in a design perspective. Different from the existing results, the severe and time-varying actuator outage faults can be handled very well by the proposed control strategy. Finally, simulation on a linearised reduced-order aircraft system is provided for verifying the theoretical results.