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Robust one-step receding horizon control for constrained systems

✍ Scribed by Byung-Gun Park; Jae-Won Lee; Wook Hyun Kwon

Publisher: John Wiley and Sons
Year: 1999
Tongue: English
Weight: 143 KB
Volume: 9
Category: Article
ISSN: 1049-8923
DOI: 10.1002/(sici)1099-1239(199906)9:7<381::aid-rnc409>3.0.co;2-#

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✦ Synopsis

This paper proposes a robust receding horizon control scheme for discrete-time uncertain linear systems with input and state constraints. The control scheme is based on the minimization of the worst-case one-step "nite horizon cost with a "nite terminal weighting matrix. It is shown that the proposed receding horizon control robustly asymptotically stabilizes uncertain constrained systems under some matrix inequality conditions on the terminal weighting matrices. This robust receding horizon control scheme has a larger feasible initial-state set and a more general structure than existing robust receding horizon controls for uncertain constrained systems under the same design parameters. The proposed controller is obtained using semide"nite programming.

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