A switched system approach to H∞ control of networked control systems with time-varying delays |
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| Authors: | Wen-An Zhang Shu Yin |
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| Institution: | Department of Automation, Zhejiang University of Technology, and the Zhejiang Provincial United Key Laboratory of Embedded Systems, Hangzhou 310023, PR China |
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| Abstract: | This paper is concerned with the H∞ control problem for a class of networked control systems (NCSs) with time-varying delay that is less than one sampling period. By applying a new working mode of the actuator and considering state feedback controllers, a new discrete-time switched system model is proposed to describe the NCS. Based on the obtained switched system model, a sufficient condition is derived for the closed-loop NCS to be exponentially stable and ensure a prescribed H∞ performance level. The obtained condition establishes relations among the delay length, the delay variation frequency, and the system performances of the closed-loop NCS. Moreover, a convex optimization problem is formulated to design the H∞ controllers which minimize the H∞ performance level. An illustrative example is given to show the effectiveness of the proposed results. |
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