Lmi Optimization Approach for Delay‐dependent H∞ Control of Time‐varying Delay Systems

In this paper, the robust delay‐dependent H∞ control for a class of uncertain systems with time‐varying delay is considered. An improved state feedback H∞ control is proposed to minimize the H∞‐norm bound via the LMI optimization approach. Based on the proposed result, delay‐dependent criteria are obtained without using the model transformation technique or bounded inequalities on cross product terms. The linear matrix inequality (LMI) optimization approach is used to design the robust H∞ state feedback control. Some numerical examples are given to illustrate the effectiveness of the approach.