An efficient off-line formulation of robust model predictive control using linear matrix inequalities
type: Item
instance of: scholarly article
title: An efficient off-line formulation of robust model predictive control using linear matrix inequalities
zbMATH Open document ID: 1032.93020
DOI: 10.1016/S0005-1098(02)00174-7
author: Zhaoyang Wan
author: M. V. Kothare
published in: Automatica
publication date: 2003-08-13T00:00:00Z
review text: An off-line robust constrained model predictive control (MPC) algorithm for polytopic/norm-bound uncertain linear time-varying state-space systems is derived. The proposed off-line MPC gives a sequence of state feedback matrices corresponding to a sequence of asymptotically stable invariant ellipsoids constructed one inside another in the state space. The sequential implementation of control laws guarantee (optimal) convergence to the origin. Also a continuous feedback function over the state space using the sequence of feedback matrices (which are constant between two adjacent asymptotically stable invariant ellipsoids and discontinuous on the boundary of each invariant ellipsoid) is constructed. It is argued that the on-line MPC computation can be reduced up to three orders of magnitude with little or no loss of performance. Two examples illustrate the implementation of the proposed off-line design.
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 93B40
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 1963703
zbMATH Keywords: Model predictive control
zbMATH Keywords: Linear matrix inequalities
zbMATH Keywords: Multivariable constrained systems
zbMATH Keywords: Asymptotic stability
zbMATH Keywords: Invariant ellipsoid
zbMATH Keywords: On-line computation
zbMATH Keywords: Robust stability
reviewed by: Ingmar Randvee
describes a project that uses: Matlab
describes a project that uses: Control System Toolbox
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1963703