On stabilization for systems with two additive time-varying input delays arising from networked control systems |
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| Authors: | Hanyong Shao Qing-Long Han |
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| Institution: | 1. School of Electrical Engineering and Computer Science, The University of Newcastle, Australia;7. Department of Electronic Engineering, Universidad Técnica Federico Santa María, Valparaíso, Chile;71. Departamento de Engenharia Electrônica, Universidade Federal de Minas Gerais, Brazil;1. Shanghai Key Laboratory of Power Station Automation Technology, School of Mechatronic Engineering and Automation, Shanghai University, Shanghai 200072, China;2. School of Software and Electrical Engineering, Swinburne University of Technology, Melbourne, VIC 3122, Australia;3. Key Laboratory of Advanced Control and Optimization for Chemical Processes, Ministry of Education, East China University of Science and Technology, Shanghai 200237, China |
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| Abstract: | This paper is concerned with the stability and stabilization for systems with two additive time-varying input delays arising from networked control systems. A new Lyapunov functional is constructed and a tighter upper bound of the derivative of the Lyapunov functional is derived by applying a convex polyhedron method. The resulting stability criteria are of fewer matrix variables and less conservative than some existing ones. Based on the stability criteria, a state feedback controller is designed such that the closed-loop system is asymptotically stable. Numerical examples are given to show the less conservatism of the stability criteria and the effectiveness of the designed method. |
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