Uniting bounded control and MPC for stabilization of constrained linear systems.
type: Item
instance of: scholarly article
title: Uniting bounded control and MPC for stabilization of constrained linear systems.
zbMATH Open document ID: 1040.93021
author: Nael H. El-Farra
author: Prashant Mhaskar
author: Panagiotis D. Christofides
published in: Automatica
publication date: 2004-03-14T00:00:00Z
review text: A controller switching strategy for constrained linear time-invariant systems is proposed. The strategy is based on switching between a model predictive controller (which minimizes a given performance objective subject to input constraints) and a bounded controller for which the region of constrained closed-loop stability is explicitly characterized. Stability-based switching laws, and laws using advanced MPC formulations are elaborated. It is argued that a logic-based supervisor can orchestrate the transitions between the two controllers in a way that guarantees asymptotic stability for all initial conditions within the stability region of the bounded controller. The implementation of the proposed strategy is illustrated through numerical simulation of an exponentially unstable open-loop system.
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93B12
Mathematics Subject Classification ID: 93D20
zbMATH DE Number: 2056664
zbMATH Keywords: hybrid control
zbMATH Keywords: controller switching
zbMATH Keywords: multiple Lyapunov functions
zbMATH Keywords: reset relations
zbMATH Keywords: model predictive control
zbMATH Keywords: logic-based supervisor
zbMATH Keywords: asymptotic stability
reviewed by: Ingmar Randvee
MaRDI profile type: Publication
full work available at URL: j.automatica.2003.08.002
OpenAlex ID: W2180472741
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DOI: 10.1016/J.AUTOMATICA.2003.08.002
description: scientific article; zbMATH DE number 2056664