Resilient H∞ controller design to tolerate loss of actuator effectiveness for discrete-time uncertain linear systems

We focus on the design of discrete-time resilient H_∞ state-feedback controllers that can tolerate some forms of multiplicative structured uncertainties which are closely related to the loss of actuator effectiveness. The systems under consideration are discrete-time uncertain linear systems with norm-bounded structured uncertainties in the state matrix. Numerical examples are given to illustrate the design methods, which guarantee that the resulting closed-loop system is quadratically stable with disturbance attenuation γ for all admissible uncertainties