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		Hanyong SHAO,Chunbo FENG.[en_title][J].Control Theory and Technology,2005,3(2):200~204.[Copy]

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HanyongSHAO,ChunboFENG
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Received:January 24, 2005Revised:March 25, 2005

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A new positive real characterization and robust positive real control of descriptor systems

Hanyong SHAO, Chunbo FENG

(College of Electric,Information & Automation,Qufu Normal University ,Rizhao Shandong 276826,China; Institute of Automation,Southeast University,Nanjing Jiangsu 210096,China)

Abstract:

This paper investigates the positiv e re al c ontrol problem for uncertain descriptor systems.The parametric uncertainty i s as sumed to be norm bounded.Firstly,for the nominal system,a new positive real char acterization is given,which is expressed by a strict linear matrix inequality(LM I) without equality constraints.Secondly,for the uncertain system,necessary and suff icient conditions for the solvability of the positive real control problem a re d erived.Based on these conditioos a state feedback law is obtained,which rend ers the resultant closed-loop system robustly positive real.

Key words: Descriptor system Parameter uncert ainty Positive real control State feedback