Robust H∞ reliable control for linear state delayed systems with parameter uncertainty

This paper focuses on the problem of robust H_∞ reliable control design for linear systems with state delay and parameter uncertainty. The goal of this problem is to design the state feedback controller such that, for all admissible uncertainties as well as actuator failures, the plant is robustly stabilized and the prescribed H_∞-norm bound constraint on disturbance attenuation is guaranteed, simultaneously. It is assumed that the parameter uncertainties are norm-bounded and the actuator failures occur among a prespecified subset of actuators. A simple, effective, modified algebraic Riccati equation approach is developed to solve the addressed problem. The resulting time-delay control systems are reliable in that they provide guaranteed robust stability and H_∞ performance not only when all control components are operational, but also in case of actuator failures. An illustrative example is presented to demonstrate the applicability of the proposed method