Title :
Stability regions for linear systems with saturating controls
Author :
Gomes da Silva, J.M. ; Tarbouriech, S.
Author_Institution :
Depto. de Eng. Eletr., UFRGS, Porto Alegre, Brazil
fDate :
Aug. 31 1999-Sept. 3 1999
Abstract :
This paper addresses the problem of local asymptotic stability analysis of multivariable linear systems with saturating controls. The nonlinear behavior of the closed-loop system is described by a polytopic model. From this description, a two-step procedure, based on the use of ellipsoidal and polyhedral contractive sets, is proposed in order to determine regions of local asymptotic stability for the closed-loop system. The procedure is numerically implemented from convex optimization and linear programming based algorithms.
Keywords :
asymptotic stability; closed loop systems; convex programming; linear programming; linear systems; multivariable systems; closed-loop system; convex optimization; ellipsoidal contractive sets; linear programming based algorithms; local asymptotic stability analysis; multivariable linear systems; polyhedral contractive sets; polytopic model; saturating controls; Asymptotic stability; Closed loop systems; Ellipsoids; Lyapunov methods; Optimization; Stability criteria; LMI; control saturation; linear programming; local stability;
Conference_Titel :
Control Conference (ECC), 1999 European
Conference_Location :
Karlsruhe
Print_ISBN :
978-3-9524173-5-5
