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

Abstract

The problem of robust H ∞ 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 H ∞ controller, which ensures the robust asymptotic stability of the system as well as the desired H ∞ performance. By constructing a Lyapunov-Krasovskii functional, some sufficient conditions for the existence of the H ∞ 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. ARTICLE HISTORY