Resumen de Delay-dependent robust H 8 control for singular systems with multiple delays

Shuqian Zhu, Chenghui Zhang, Xinzhi Liu, Zhenbo Li

• This paper studies the problem of delay-dependent robust H8 control for singular systems with multiple delays. Based on a Lyapunov-Krasovskii functional approach, an improved delay-dependent bounded real lemma (BRL) for singular time-delay systems is established without using any of the model transformations and bounding techniques on the cross product terms. Then, by applying the obtained BRL, a delay-dependent condition for the existence of a robust state feedback controller, which guarantees that the closed-loop system is regular, impulse free, robustly stable and satisfies a prescribed H8 performance index, is proposed in terms of a nonlinear matrix inequality. The explicit expression for the H8 controller is designed by using linear matrix inequalities and the cone complementarity iterative linearization algorithm. Numerical examples are also given to illustrate the effectiveness of the proposed method.