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Improved results on state feedback stabilization for a networked control system with additive time-varying delay
Ruimei Zhang1, Deqiang Zeng2, Xinzhi Liu3
1School of Mathematics Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731, China; Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada.
Abstract:
This paper investigates the problems of stability and stabilization for a networked control system (NCS) with additive time-varying delay components' controller. Firstly, stability of a NCS with additive time-varying delays is investigated. A novel approach with free parameters is proposed. By constructing a new Lyapunov-Krasovskii functional (LKF) with two free parameters, stability criteria are obtained. The obtained stability criteria depend not only on upper bounds of delays but also free parameters. In addition, input-output method is extended to study the stability problem for the NCS. Compared with other approaches such as input-output method, the free-parameter approach is more flexible and effective in reducing the conservatism. Then, based on the stability results, a state feedback controller is designed to guarantee the asymptotically stable of the closed-loop systems. Finally, numerical examples are provided to show the effectiveness and less conservatism of the proposed results.