Abstract

In this paper, the time-delayed anti-windup problem is addressed for linear input-delay systems with actuator saturations. By using an augmented Lyapunov-Krasovskii functional, the generalized sector condition and some advanced inequalities, anti-windup synthesis conditions are first established by means of linear matrix inequalities. In particular, the first time-interval is considered in determining the performances of closed-loop systems under a relatively practical control setting. Then, several optimization problems are proposed to solve the optimal performance indices. Finally, a simulation example is given to illustrate the effectiveness of the proposed anti-windup strategy.

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