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.

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