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Robust h∞ stabilization of a nonlinear uncertain system via a stable nonlinear output feedback controller

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Abstract

A new approach to solving a nonlinear robust H control problem using a stable nonlinear output feedback controller is presented in this paper. The particular class of nonlinear uncertain systems being considered is characterized in terms of Integral Quadratic Constraints and Global Lipschitz Conditions describing the admissible uncertainty and nonlinearity, respectively. The nonlinear controller is then constructed by including a copy of the system nonlinearity in the structure of the linear controller. The aim is to enable the controller to exploit the nonlinearity of the system such that it will absolutely stabilize the closed loop nonlinear system and achieve a specified disturbance attenuation level. This method involves the stabilizing solutions of a pair of algebraic Riccati equations.

Original languageEnglish
Title of host publication2009 American Control Conference, ACC 2009
Pages3693-3699
Number of pages7
DOIs
Publication statusPublished - 2009
Externally publishedYes
Event2009 American Control Conference, ACC 2009 - St. Louis, MO, United States
Duration: 10 Jun 200912 Jun 2009

Publication series

NameProceedings of the American Control Conference
ISSN (Print)0743-1619

Conference

Conference2009 American Control Conference, ACC 2009
Country/TerritoryUnited States
CitySt. Louis, MO
Period10/06/0912/06/09

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