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Riccati equation approach to robustL2-gain synthesis for a class of uncertain nonlinear systems

 

作者: TIELONG SHEN,   HUAIQUAN ZANG,   KATSUTOSHI TAMURA,  

 

期刊: International Journal of Control  (Taylor Available online 1996)
卷期: Volume 64, issue 6  

页码: 1177-1188

 

ISSN:0020-7179

 

年代: 1996

 

DOI:10.1080/00207179608921681

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

This paper discusses the robustL2-gain performance synthesis problem for a class of nonlinear uncertain systems. It is shown that the Riccati equation approach toH∞robust performance synthesis can be extended to solve this problem. Based on a positive definite solution of a Riccati inequality, a sufficient condition is given such that the nonlinear uncertain system is robust stable and itsL2gain is less than one. Using this condition, a state feedback law which ensures robustL2-gain performance of the closed-loop system is derived. The state feedback law is equivalent to the solution of anH∞standard design problem for an extended plant parametrized by scaling parameters. Finally, a design example and simulation results are given.

 

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