eprintid: 575 rev_number: 11 eprint_status: archive userid: 7 dir: disk0/00/00/05/75 datestamp: 2011-07-27 09:16:24 lastmod: 2014-07-17 12:19:02 status_changed: 2011-07-27 09:16:24 type: book_section metadata_visibility: show item_issues_count: 0 creators_name: Bemporad, Alberto creators_name: Giovanardi, L. creators_name: Torrisi, Fabio Danilo creators_id: alberto.bemporad@imtlucca.it creators_id: creators_id: title: Performance driven reachability analysis for optimal scheduling and control of hybrid systems ispublished: pub subjects: QA subjects: QA75 subjects: TJ divisions: CSA full_text_status: none keywords: NP hard problem; branch-and-bound; hybrid systems; linear programming; optimal control; piecewise linear systems; quadratic programming; reachability analysis; scheduling; upper bound; computational complexity; linear programming; nonlinear systems; optimal control; quadratic programming; reachability analysis note: Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 12 - 15 dic 2000 abstract: We deal with the optimal control problem for piecewise linear and hybrid systems by using a computational approach based on performance-driven reachability analysis. The idea consists of coupling a reach-set exploration algorithm, essentially based on a repetitive use of linear programming, to a quadratic programming solver which selectively drives the exploration. In particular, an upper bound on the optimal cost is continually updated during the procedure, and used as a criterion to discern non-optimal evolutions and to prevent their exploration. The result is an efficient strategy of branch-and-bound nature, which is especially attractive for solving long-horizon hybrid optimal control and scheduling problems date: 2000 date_type: published publication: Proc. 39th IEEE Conf. on Decision and Control volume: 1 publisher: IEEE pagerange: 969-974 event_dates: Sydney, Australia id_number: 10.1109/CDC.2000.912899 refereed: TRUE book_title: Decision and Control Conference official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=912899&isnumber=19696 citation: Bemporad, Alberto and Giovanardi, L. and Torrisi, Fabio Danilo Performance driven reachability analysis for optimal scheduling and control of hybrid systems. In: Decision and Control Conference. IEEE, pp. 969-974. (2000)