Reliable H∞ control systems with uncertainties in all system matrices: an LMI approach

This paper deals with the problem of reliable control for linear systems with uncertainty in all system matrices as well as actuator failures. The goal is to design a constant state feedback controller that provides robust stability and H_infin, performance for all admissible uncertainties and actuator failures. It is assumed that the parameter uncertainties are norm bounded and the actuator failures occur among a prespecified subset of actuators. A linear matrix inequality approach is developed to solve the addressed problem. An example is presented to demonstrate the applicability of the proposed method