Enlarged terminal sets guaranteeing stability of receding horizon control

Title: Enlarged terminal sets guaranteeing stability of receding horizon control
Creator: De Dona, J. A.; Seron, M. M.; Mayne, D. Q.; Goodwin, G. C.
Relation: Systems & Control Letters Vol. 47, Issue 1, p. 57-63
Publisher Link: http://dx.doi.org/10.1016/S0167-6911(02)00175-5
Publisher: Elsevier Science Ltd.
Resource Type: journal article
Date: 2002
Description: The purpose of this paper is to relax the terminal conditions typically used to ensure stability in model predictive control, thereby enlarging the domain of attraction for a given prediction horizon. Using some recent results, we present novel conditions that employ, as the terminal cost, the finite-horizon cost resulting from a nonlinear controller u=−sat(Kx) and, as the terminal constraint set, the set in which this controller is optimal for the finite-horizon constrained optimal control problem. It is shown that this solution provides a considerably larger terminal constraint set than is usually employed in stability proofs for model predictive control.
Subject: constrained control; receding horizon; stability; terminal conditions
Identifier: http://hdl.handle.net/1959.13/27211
Identifier: uon:1470
Identifier: ISSN:0167-6911
Language: eng
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