eprintid: 1340 rev_number: 10 eprint_status: archive userid: 6 dir: disk0/00/00/13/40 datestamp: 2012-09-06 12:57:20 lastmod: 2012-09-06 12:57:20 status_changed: 2012-09-06 12:57:20 type: book_section metadata_visibility: show creators_name: Milic, Vladimir creators_name: Bemporad, Alberto creators_name: Kasac, Josip creators_name: Situm, Zeljko creators_id: creators_id: alberto.bemporad@imtlucca.it creators_id: creators_id: title: Numerical algorithm for nonlinear state feedback ℌ∞ optimal control problem ispublished: pub subjects: QA75 divisions: CSA full_text_status: none note: 20th Mediterranean Conference on Control & Automation (MED) Barcelona, Spain, July 3-6, 2012 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. date: 2012-07 date_type: published publisher: IEEE pagerange: 1253 -1258 event_title: Control Automation (MED), 2012 20th Mediterranean Conference on id_number: 10.1109/MED.2012.6265811 refereed: TRUE isbn: 978-1-4673-2529-5 book_title: 20th Mediterranean Conference on Control & Automation (MED), 2012 official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6265811&isnumber=6265599 funders: The material in this paper is based on work financed by Croatian Science Foundation. Grant number 03.011170. citation: 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)