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		Shiqian LIU,Jihong ZHU,JinChun HU.[en_title][J].Control Theory and Technology,2007,5(1):12~16.[Copy]

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ShiqianLIU,JihongZHU,JinChunHU
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Received:April 12, 2005Revised:July 07, 2006

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Satisfactory control of discrete-time linear periodic systems

Shiqian LIU, Jihong ZHU, JinChun HU

(Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China)

Abstract:

In this paper ,satisfactory control for discrete-time linear periodic systems is studied. Based on a suitable time-invariant state sampled reformulation, periodic state feedback controller has been designed such that desired requirements of steady state covariance, H-infinity rejection bound and regional pole assignment for the periodic system are met simultaneously. By using satisfactory control theory, the problem of satisfactory periodic controller can be transformed into a linear programming problem subject to a set of linear matrix inequalities (LMIs), and a feasible designing approach is presented via LMI technique. Numeric example validates the obtained conclusion.

Key words: Linear periodic system Pole allocation Covariance assignment Robust control