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Application of the Finite Inclusions Theorem to robust analysis and synthesis

 

作者: RICHARDD. KAMINSKY,   THEODOREE. DJAFERIS,  

 

期刊: International Journal of Control  (Taylor Available online 1996)
卷期: Volume 64, issue 3  

页码: 511-527

 

ISSN:0020-7179

 

年代: 1996

 

DOI:10.1080/00207179608921641

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

In a recent publication the Finite Nyquist Theorem and its corollary, the Finite Inclusions Theorem (FIT), were stated and proved. FIT provides a simple condition for a family of polynomials with parameter uncertainty to have all its roots in a given convex region of the complex plane. Since FIT requires knowledge of the family's value set at only finitely many points along the region's boundary, it provides a powerful tool for robust analysis and synthesis of parametrically uncertain systems. In this paper we demonstrate this fact by: (1) employing FIT in robust stability analysis; (2) using FIT in the computation of the weightedH∞norm of a transfer function with parameter uncertainty; and (3) carrying out FIT synthesis for an Automatic Bus Steering problem.

 

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