Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.13/43164

OpenURL Link
Title
ℒ₂⁻gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs
Author/Creator
Coutinho, D. F.;  Fu, M.;  Trofino, A.;  Danès, P.
Institution
The University of Newcastle. Faculty of Engineering & Built Environment, School of Electrical Engineering and Computer Science
Description
This paper proposes a convex approach to regional stability and ℒ₂⁻gain analysis and control synthesis for a class of nonlinear systems subject to bounded disturbance signals, where the system matrices are allowed to be rational functions of the state and uncertain parameters. To derive sufficient conditions for analysing input-to-output properties, we consider polynomial Lyapunov functions of the state and uncertain parameters (assumed to be bounded) and a differential-algebraic representation of the nonlinear system. The analysis conditions are written in terms of linear matrix inequalities determining a bound on the ℒ₂⁻ gain of the input-to-output operator for a class of (bounded) admissible disturbance signals. Through a suitable parametrization involving the Lyapunov and control matrices, we also propose a linear (full-order) output feedback controller with a guaranteed bound on the ℒ₂⁻gain. Numerical examples are used to illustrate the proposed approach.
Relation
International Journal of Robust and Nonlinear Control Vol. 18, Issue 1, p. 88-110
Publisher Link
http://dx.doi.org/10.1002/rnc.1207
Date
2008
Publisher
John Wiley
Keyword(s)
ℋ∞ control;  robustness;  convex optimization;  regional analysis
Resource Type
journal article
Identifier
http://hdl.handle.net/1959.13/43164
Identifier
ISSN:1049-8923
Reviewed
Reviewed
11 Visitors 13 Hits 0 Downloads
Save/E-mail Citation
Citation Format
E-mail Address
Subject
"International Journal of Robust and Nonlinear Control"
 
OR