Further results on robust H∞ control design for uncertain time-delay systems with actuator delay: application to PMSG machine

The problem of robust state-feedback control design for a class of uncertain systems with two different time delays in the state vector and the input signal is investigated in this paper. The main feature of the paper is to develop a robust controller, which ensures the robust asymptotic stability of the system as well as the desired performance. By constructing a Lyapunov–Krasovskii functional, some sufficient conditions for the existence of the state-feedback controller is derived in terms of linear matrix inequalities. Numerical examples such as a wind energy conversion system model based on a permanent magnet synchronous generator model are provided to illustrate the effectiveness of the proposed method.