Stability analysis of continuous time-delayed system with input saturation

Abstract

In this paper, the state-feedback controller is designed for continuous time systems subjected to fast-varying delay and actuator saturation. A new integral inequality called Wirtinger's inequality is considered to derive the stability conditions, which is proved as less conservative in comparison to well-known Jensen's inequality. The Lyapunov-Krasovskii functional is constructed on the basis of above inequality. Then, an improved reciprocally convex approach is applied to reduce the conservatism. The behavior of saturation nonlinearity is represented by convex hull approach. A delay-dependent stability condition is obtained for synthesis of such controller in terms of Linear Matrix Inequalities (LMIs). An optimization setup is also defined in order to maximize the estimated domain of attraction. The efficacy of the proposed result is embellished by numerical example.