Reliable control of discrete-time systems with actuator failure

Abstract

The paper considers the problem of LQ regulator design for discrete-time systems with actuator failures. The problem is to design a reliable LQ state feedback regulator which can tolerate actuator failures, such that the cost of the system is guaranteed to be within a certain bound. The state feedback control design for guaranteed cost control is given in terms of solution to an algebraic Riccati equation. The resulting control system is reliable, in that it provides guaranteed asymptotic stability despite some actuator failures. A numerical example shows the effectiveness of the method.