Delay-dependent robust H∞ control of uncertain neutral systems with state and input delays: LMI optimization approach

The H∞ robust control problem for a class of uncertain neutral system with both state and input delays is considered. By choosing a Lyapunov–Krasovskii functional, some delay-dependent criteria are proposed to guarantee stabilization and disturbance attenuation of the systems. Linear matrix inequality (LMI) optimization approach is used to solve the H∞ control disturbance attenuation problem. Significant improvement for the delay-dependent results has been reached. Computer software Matlab can be applied to obtain all the proposed results. Finally, some numerical examples are given to illustrate the improvement archived in this paper.