Optimal control of nonlinear systems: A predictive control approach
type: Item
instance of: scholarly article
title: Optimal control of nonlinear systems: A predictive control approach
zbMATH Open document ID: 1017.93044
DOI: 10.1016/S0005-1098(02)00272-8
author: Wen-Hua Chen
author: Donald J. Ballance
author: Peter J. Gawthrop
published in: Automatica
publication date: 2003-04-27T00:00:00Z
review text: A special case of nonlinear generalised predictive control (GPC) in which the degree of output prediction is constrained in terms of relative degree and control order is presented. The approach gives an analytic solution for a class of multivariable nonlinear systems in terms of a GPC performance index. Four assumptions are imposed: the zero dynamics is stable, all states are available, each of the system outputs has the same relative degree, the output and the reference input are continuously differentiable with respect to time. The outlined features of the proposed GPC are: the optimal control is given in a closed form and depends only on the states of the system, on-line optimization is not necessary, the design parameters (the control order and the prediction interval) can be determined according to the overshoot and settling time specifications. The procedure is illustrated by the GPC design for a high angle of attack missile.
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93C10
Mathematics Subject Classification ID: 93B18
zbMATH DE Number: 1901003
zbMATH Keywords: optimal control
zbMATH Keywords: nonlinear systems
zbMATH Keywords: generalized predictive control
zbMATH Keywords: feedback linearization
zbMATH Keywords: time-domain transient
zbMATH Keywords: overshoot
reviewed by: Ingmar Randvee
describes a project that uses: REDUCE
MaRDI profile type: Publication
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full work available at URL: s0005-1098(02)00272-8
OpenAlex ID: W1991686554
description: scientific article; zbMATH DE number 1901003