Delay-dependent Non-fragile H_∞ Control for Linear Systems with Interval Time-varying Delay

This paper considers the problem of delay-dependent non-fragile H_∞ control for a class of linear systems with interval time-varying delay. Based on the direct Lyapunov method, an appropriate Lyapunov-Krasovskii functional (LKF) with triple-integral terms and augment terms is introduced. Then, by using the integral inequalities and convex combination technique, an improved H_∞ performance analysis criterion and non-fragile H_∞ controller are formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by using standard numerical packages. At last, two numerical examples are provided to demonstrate the effectiveness of the obtained results.