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Hanlin HE,Zhongsheng WANG,Xiaoxin LIAO.[en_title][J].Control Theory and Technology,2004,2(1):85~88.[Copy]
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HanlinHE,ZhongshengWANG,XiaoxinLIAO
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Received:December 06, 2002Revised:June 02, 2003
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On the order of stable compensators for a class of time-delay system
Hanlin HE, Zhongsheng WANG, Xiaoxin LIAO
(Departmant of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan Hubei 430074, China; Culture and Science College, Naval University of Engineering, Wuhan Hubei 430033, China)
Abstract:
The stabilization using a stable compensator does not introduce additional unstable zeros into the closed-loop transfer function beyond those of the original plant, so it is a desirable compensator, the price is that the compensator's order will go up. This note considered the order of stable compensators for a class of time-delay systems. First, it is shown that for single-loop plants with at most one real right-half plane zero, a special upper bound for the minimal order of a strongly stabilizing compensator can be obtained in terms of the phnt order; Second, it is shown that approximate unstable pole-zero cancellation does not occur, and the distances between distinct unstable zeroes are bounded below by a positive constant, then it is possible to find an upper bound for the minimal order of a strongly stabilizing compensator.
Key words:  Stabilization  Strong stabilization  Time-delay system  Interpolation