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		Guosheng WANG1,Qiang LV,Guangren DUAN.[en_title][J].Control Theory and Technology,2006,4(3):302~308.[Copy]

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GuoshengWANG1,QiangLV,GuangrenDUAN
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Received:January 24, 2005Revised:March 21, 2006

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Eigenstructure assignment in a class of second-order dynamic systems

Guosheng WANG1, Qiang LV, Guangren DUAN

(Department of Control Engineering, Academy of Armored Force Engineering, Beijing 100072, China; Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin Heilongjiang 150001, China)

Abstract:

Eigenstructure assignment using the proportional-plus-derivative feedback controller in a class of secondorder dynamic system is investigated. Simple, general, complete parametric expressions for both the closed-loop eigenvector matrix and the feedback gains are established based on two simple Smith form reductions. The approach utilizes directly the original system data and involves manipulations only on n?dimensional matrices. Furthermore, it reveals all the degrees of freedom which can be further utilized to achieve additional system specifications. An example shows the effect of the proposed approach.

Key words: Second-order dynamic systems Eigenstructure assignment Proportional-plus-derivative control Parametric