Piecewise-linear robust control of systems with input constraints
type: Item
instance of: scholarly article
title: Piecewise-linear robust control of systems with input constraints
zbMATH Open document ID: 0955.93039
DOI: 10.1016/S0947-3580(99)70149-4
author: Didier Henrion
author: G. Garcia
author: Sophie Tarbouriech
published in: European Journal of Control
publication date: 2001-02-16T00:00:00Z
review text: The problem of robust local stabilization of an uncertain continuous-time system subject to input constraints is addressed. The nominal system is linear, and the uncertainty affects both the dynamic and the input matrices. The matrices describing the uncertainty are norm-bounded. No open loop stability assumptions are made. A set of initial conditions that can be stabilised and a robust control law are determined. Such a set of initial conditions is an ellipsoid, and the resulting control law is a piecewise linear state feedback, with switching boundaries defined as a nested family of positively invariant and contractive ellipsoids. Since the computations are performed off-line, solving a parametrised algebraic Riccati equation, or, alternatively, a parametrised linear matrix inequality related to a maximization problem, the main advantage of the proposed design algorithm is its simplicity, and the fact that it could be readily implemented.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 1343411
zbMATH Keywords: algebraic Riccati equations
zbMATH Keywords: input saturation
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: robust control
zbMATH Keywords: uncertain systems
describes a project that uses: Sdpsol
MaRDI profile type: Publication
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full work available at URL: s0947-3580(99)70149-4
OpenAlex ID: W1995337553
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description: scientific article; zbMATH DE number 1343411