NEW H-infinity CONTROL DESIGN FOR POLYTOPIC SYSTEMS WITH MIXED TIME-VARYING DELAYS IN STATE AND INPUT

This paper concerns with the problem of state-feedback H-infinity control design for a class of linear systems with polytopic uncertainties and mixed time-varying delays in state and input. Our approach can be described as follows. We first construct a state-feedback controller based on the idea of parameter-dependent controller design. By constructing a new parameter-dependent Lyapunov-Krasovskii functional (LKF), we then derive new delay-dependent conditions in terms of linear matrix inequalities ensuring the exponential stability of the corresponding closed-loop system with a H-infinity disturbance attenuation level. The effectiveness and applicability of the obtained results are demonstrated by practical examples.