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		Hongwang YU,Zhiming WANG,Yufan ZHENG.[en_title][J].Control Theory and Technology,2008,6(2):153~162.[Copy]

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HongwangYU,ZhimingWANG,YufanZHENG
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Received:September 10, 2006Revised:April 25, 2007

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On the model-based networked control for singularly perturbed systems

Hongwang YU, Zhiming WANG, Yufan ZHENG

(Department of Mathematics, University of Shanghai, Shanghai 200436, China; Department of Mathematics, East China Normal University, Shanghai 200062, China)

Abstract:

In this paper, the control of a two-time-scale plant, where the sensor is connected to a linear controller/actuator via a network is addressed. The slow and fast systems of singularly perturbed systems are used to produce an estimate of the plant state behavior between transmission times, by which one can reduce the usage of the network. The approximate solutions of the whole systems are derived and it is shown that the whole systems via the network control are generally asymptotically stable as long as their slow and fast systems are both stable. These results are also extended to the case of network delay.

Key words: Model-based networked control systems Singularly perturbed control systems Asymptotically stable Globally practical stability