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		Zhizhen WANG,Long WANG,Wensheng YU.[en_title][J].Control Theory and Technology,2005,3(4):327~333.[Copy]

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ZhizhenWANG,LongWANG,WenshengYU
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Received:March 14, 2005Revised:August 14, 2005

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Robustness analysis of control systems with disc uncertainties

Zhizhen WANG, Long WANG, Wensheng YU

(Department of Applied Mathematics, Shanghai Normal University,Shanghai 200234,China;Department of Mechanics and Engineering Sciences,Peking University,Beijing 100871,China;Laboratory of Complex Systems and Intelligence Sciences,Institute of Automation,Chinese Academy of Sciences,Beijing 100080,China)

Abstract:

For a class of control systems with disc uncertainties, robust performance analysis is developed. On the strictly positive realness and H_infinity_norm of uncertain systems, from the geometric point of view, two new sufficient and necessary conditions are given. The largest H_infinity_norm bound, containing the coefficients of only stable polynomials and centered at a nominal stable point in the coecient space is found. The results obtained in the paper are tractable and concise, which is illustrated by some numerical examples.

Key words: Robustness Disc polynomial Strictly positive realness Hurwitz stability H-infinity-norm