dc.contributor.author Li, Bin dc.contributor.author Teo, Kok Lay dc.contributor.author Zhao, G. dc.contributor.author Duan, G. dc.date.accessioned 2017-01-30T12:26:50Z dc.date.available 2017-01-30T12:26:50Z dc.date.created 2011-03-02T20:01:34Z dc.date.issued 2009 dc.identifier.citation Li, B. and Teo, K.L. and Zhao, G.H. and Duan, G.R. 2009. An Efficient Computational Approach to a Class of Minmax Optimal Control Problems with Applications. The ANZIAM Journal. 51: pp. 162-177. dc.identifier.uri http://hdl.handle.net/20.500.11937/21706 dc.identifier.doi 10.1017/S1446181110000040 dc.description.abstract In this paper, an efficient computation method is developed for solving a general class of minmax optimal control problems, where the minimum deviation from the violation of the continuous state inequality constraints is maximized. The constraint transcription method is used to construct a smooth approximate function for each of the continuous state inequality constraints. We then obtain an approximate optimal control problem with the integral of the summation of these smooth approximate functions as its cost function. A necessary condition and a sufficient condition are derived showing the relationship between the original problem and the smooth approximate problem. We then construct a violation function from the solution of the smooth approximate optimal control problem and the original continuous state inequality constraints in such a way that the optimal control of the minmax problem is equivalent to the largest root of the violation function, and hence can be solved by the bisection search method. The control parametrization and a time scaling transform are applied to these optimal control problems. We then consider two practical problems: the obstacle avoidance optimal control problem and the abort landing of an aircraft in a windshear downburst. dc.publisher Cambridge University Press dc.subject minmax optimal control dc.subject windshear downburst dc.subject aircraft abort landing dc.subject obstacle avoidance dc.subject root finding dc.subject control parametrization dc.subject constraint transcription dc.subject time scaling transform dc.subject computation method dc.subject continuous state inequality constraints dc.title An Efficient Computational Approach to a Class of Minmax Optimal Control Problems with Applications dc.type Journal Article dcterms.source.volume 51 dcterms.source.startPage 162 dcterms.source.endPage 177 dcterms.source.issn 14461811 dcterms.source.title ANZIAM Journal curtin.note © Cambridge University Press 2009 curtin.department Department of Mathematics and Statistics curtin.accessStatus Open access
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