Stability analysis of systems with bounded additive uncertainties based on invariant sets: Stability and feasibility of MPC

Author

Marruedo, D. Limón ; Álamo, T. ; Camacho, E.F.

Author_Institution

Departamento de Ingenieria de Sistemas y Automatica, Seville Univ., Spain

Volume

1

fYear

2002

fDate

2002

Firstpage

364

Abstract

In this paper the stability of constrained nonlinear discrete time systems with bounded additive uncertainty is analyzed. Sufficient conditions to guarantee that an autonomous constrained system is stable and ultimately bounded are given. These results are applied to MPC and sufficient conditions for stability and feasibility are obtained. The paper uses invariance set theory to extend the work of Scokaert et al. (1997), where asymptotic stability of MPC with decaying perturbation is analyzed, to bounded, non decaying, additive uncertainties.

Keywords

control system analysis; discrete time systems; invariance; nonlinear control systems; predictive control; stability criteria; uncertain systems; MPC; bounded additive uncertainties; bounded nondecaying additive uncertainties; constrained nonlinear discrete time systems; invariance set theory; invariant sets; model predictive control; stability analysis; stability conditions; stability criteria; ultimately bounded system; Constraint theory; Control systems; Industry applications; Optimal control; Robust stability; Set theory; Stability analysis; Sufficient conditions; Telephony; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2002. Proceedings of the 2002

ISSN

0743-1619

Print_ISBN

0-7803-7298-0

Type

conf

DOI

10.1109/ACC.2002.1024831

Filename

1024831