Improved robust stabilization method for linear systems with interval time-varying input delays by using Wirtinger
1Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116023, China; State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116023, China.
Abstract:
This paper investigates the robust stabilization problem for uncertain linear systems with interval time-varying delays. By constructing novel Lyapunov-Krasovskii functionals and developing delay-partitioning approaches, some delay-dependent stability criteria are derived based on an improved Wirtinger׳s inequality and the reciprocally convex method. The proposed methods have improved the stability conditions without increasing much computational complexity. A state feedback controller design approach is also presented based on the proposed criteria. Numerical examples are finally given to illustrate the effectiveness of the proposed method.
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