NDLI: Optimization methods for solving bang-bang control problems with state constraints and the verification of sufficient conditions

Content Provider	IEEE Xplore Digital Library
Author	Maurer, H. Altrogge, I. Goris, N.
Copyright Year	2005
Description	Author affiliation: Institut für Numerische Mathematik und Angewandte Mathematik, Westfälische Wilhelms-Universität Münster, Einsteinstrasse 62, D-48149 Münster, Germany. Email: maurer@math.uni-muenster.de (Maurer, H.)
Abstract	We consider bang-bang control problems with state inequality constraints. It is shown that the control problem induces an optimization problem where the optimization vector consists of all switching times of the bang-bang control and junction times with boundary arcs. The induced optimization problem is a generalization of the one studied in [1], [19]. [20], [22] for bang-bang controls without state constraints. We develop second order sufficient conditions (SSC) for the state-constrained control problem which require that (1) the SSC for the induced optimization problem are satisfied and (2) additional conditions for the switching function hold at switching and junction times. An optimization algorithm is presented which simultaneously carries out the second-order test. The algorithm is illustrated on a numerical example in cancer chemotherapy.
Starting Page	923
Ending Page	928
File Size	161766
Page Count	6
File Format	PDF
ISBN	0780395670
DOI	10.1109/CDC.2005.1582275
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-12-15
Publisher Place	Spain
Access Restriction	Subscribed
Rights Holder	IEEE/EUCA
Subject Keyword	Optimization methods Bang-bang control Sufficient conditions Optimal control Testing Cancer Constraint optimization Process control Feedback Medical treatment
Content Type	Text
Resource Type	Article

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