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Author Gomes da Silva Jr., J.M. ♦ Tarbouriech, S.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©1997
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Other branches of engineering
Subject Keyword Control systems ♦ Asymptotic stability ♦ Linear systems ♦ State feedback ♦ Vectors ♦ Nonlinear control systems ♦ State-space methods ♦ Sufficient conditions ♦ Lyapunov method ♦ Linear programming
Abstract The determination of polyhedral regions of local stability for linear systems subject to control saturation is addressed. The analysis of the nonlinear behavior of the closed-loop saturated system is made by dividing the state space in regions of saturation. Inside each of these regions, the system evolution can be represented by a perturbed linear system. From this representation, a necessary and sufficient algebraic condition relative to the positive invariance of a polyhedral set is given. In a second stage, a necessary and sufficient condition to the contractivity of such a positively invariant set is stated. Consequently, the polyhedral set can be associated to a Lyapunov function and the local asymptotic stability of the saturated closed-loop system inside the set is guaranteed. An algorithm based on linear programming is proposed to generate homothetic expansions of a positively invariant and contractive polyhedral set w.r.t. closed-loop saturated system.
Description Author affiliation: Lab. d'Autom. et d'Anal. des Syst., CNRS, Toulouse, France (Gomes da Silva, J.M., Jr.)
ISBN 0780341872
ISSN 01912216
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1997-12-12
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 615.20 kB
Page Count 6
Starting Page 925
Ending Page 930

Source: IEEE Xplore Digital Library