NDLI: Robust $H^{∞}$ stabilization of a nonlinear uncertain system via a stable nonlinear output feedback controller

Content Provider	IEEE Xplore Digital Library
Author	Harno, H.G. Petersen, I.R.
Copyright Year	2009
Description	Author affiliation: School of Information Technology and Electrical Engineering, University of New South Wales at the Australian Defence Force Academy, Canberra ACT 2600, Australia (Harno, H.G.; Petersen, I.R.)
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.
Starting Page	3693
Ending Page	3699
File Size	1237062
Page Count	7
File Format	PDF
ISBN	9781424445233
ISSN	07431619
DOI	10.1109/ACC.2009.5160033
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2009-06-10
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Robustness Nonlinear control systems Control systems Riccati equations Robust control Output feedback Uncertain systems Uncertainty Nonlinear systems Attenuation
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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