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Numerical algorithm for nonlinear state feedback ℌ∞ optimal control problem

Milic, Vladimir and Bemporad, Alberto and Kasac, Josip and Situm, Zeljko Numerical algorithm for nonlinear state feedback ℌ∞ optimal control problem. In: 20th Mediterranean Conference on Control & Automation (MED), 2012. IEEE, 1253 -1258. ISBN 978-1-4673-2529-5 (2012)

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Abstract

In this paper, the numerical algorithm based on conjugate gradient method to solve a finite-horizon min-max optimization problem arising in the ℌ∞; control of nonlinear systems is presented. The feedback control and disturbance variables are formulated as a linear combination of basis functions. The proposed algorithm, which has a backward-intime structure, directly finds very accurate approximations of these feedbacks. Benchmark examples with analytic solutions are provided to demonstrate the effectiveness of the proposed algorithm.

Item Type: Book Section
Identification Number: https://doi.org/10.1109/MED.2012.6265811
Additional Information: 20th Mediterranean Conference on Control & Automation (MED) Barcelona, Spain, July 3-6, 2012
Funders: The material in this paper is based on work financed by Croatian Science Foundation. Grant number 03.011170.
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 06 Sep 2012 12:57
Last Modified: 06 Sep 2012 12:57
URI: http://eprints.imtlucca.it/id/eprint/1340

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