Resilient guaranteed cost control to tolerate actuator faults for discrete-time uncertain linear systems

The paper studies a discrete-time resilient guaranteed cost control (GCC) design that tolerates some forms of controller gain uncertainties that are closely related to the actuator fault. The systems under consideration are discrete-time uncertain linear systems with norm-bounded structured uncertainties in both the state and input matrices. The resilient GCC designs guarantee that the cost of the closed-loop systems be within a certain bound for all these admissible uncertainties. A numerical example is given to illustrate the design method.