Stability Analysis and Controller Design for Linear Time Delay Systems with Actuator Saturation

Abstract

This paper deals with the stability analysis and controller design of linear systems with state delay and input saturation. First, a delay-dependent stability criterion is derived within the framework of linear matrix inequalities by using some free matrices to express the relationship of the terms in the Leibniz-Newton formula. Then the problem of designing linear state feedback laws which guarantees the stability of the closed-loop system and enlarging the domain of attraction is formulated and solved as an optimization problem with LMI constraints. A numerical example is used to demonstrate the effectiveness of the proposed design technique comparing with the previous results.