Delay-dependent dissipative control for linear time-delay systems |
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| Institution: | 1. Department of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China;2. Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Zhuzhou 412007, China;1. School of Automation, China University of Geosciences, Wuhan 430074, China;2. Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China;3. Department of Electrical Engineering & Electronics, University of Liverpool, Liverpool L69 3GJ, United Kingdom;1. School of Automation, China University of Geosciences, Wuhan 430074, China;2. Hubei key Laboratory of Advanced Control and Intelligent Automation for Complex Systems, Wuhan 430074, China;3. Engineering Research Center of Intelligent Technology for Geo-Exploration, Ministry of Education, Wuhan 430074, China |
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| Abstract: | This paper deals with the problem of delay-dependent dissipative control for a class of linear time-delay systems. We develop the design methods of dissipative static state feedback and dynamic output feedback controllers such that the closed-loop system is quadratically stable and strictly (Q,S,R)-dissipative. Sufficient conditions for the existence of the quadratic dissipative controllers are obtained by using linear matrix inequality (LMI) approach. Furthermore, a procedure of constructing such controllers from the solutions of LMIs is given. It is shown that the solvability of a dissipative controller design problem is implied by the feasibility of LMIs. The main results of this paper unify the existing results on H∞ control and passive control. |
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