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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