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		Qinghe WU,Bin LV,Li XU.[en_title][J].Control Theory and Technology,2008,6(4):435~441.[Copy]

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QingheWU,BinLV,LiXU
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Received:January 22, 2007Revised:November 11, 2007

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A parameter optimization approach to robust PI-controller design for systems with interval plants

Qinghe WU, Bin LV, Li XU

(Department of Automatic Control, Beijing Institute of Technology, Beijing 100081, China;Department of Electronics and Information Systems, Akita Prefectural University, 84-4 Ebinokuchi, Tsuchiya, Honjo, Akita 015-0055, Japan)

Abstract:

The purpose of this paper is to develop an analytic way for designing optimal PI-controllers for the interval ant family. Optimality means that the coefficient intervals of the plant stabilized by a PI-controller is maximized. It will be shown that the optimization problem can be formulated in terms of an eigenvalue minimization problem of matrix pairs of the form (H(h0; g0); H(±1;·; ±2;·)), where · = 1; 2; 3; 4 and both H(h0; g0) and H(±1;·; ±2;·) are frequency independent Hurwitz-like matrices. A numerical example is provided to illustrate that optimal controller parameters can be successfully obtained by a two-dimensional search.

Key words: Interval plants Stability radius Eigenvalues PI-controllercontroller design for systems with interval plants