Reliable linear-quadratic optimal control for discrete-time singular linear systems

The paper is concerned with the problem of designing reliable linear-quadratic state-feedback control for a class of discrete-time singular linear systems. A reliable state-feedback control is designed for the case of possible actuator faults, and the proposed state-feedback controller guarantees that the closed-loop system is admissible and its quadratic performance index is bounded by a constant. An example is given to illustrate effectiveness of the proposed method.