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dc.contributor.authorLi, Bin
dc.contributor.authorTeo, Kok Lay
dc.contributor.authorZhao, G.
dc.contributor.authorDuan, G.
dc.identifier.citationLi, 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.

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.publisherCambridge University Press
dc.subjectminmax optimal control
dc.subjectwindshear downburst
dc.subjectaircraft abort landing
dc.subjectobstacle avoidance
dc.subjectroot finding
dc.subjectcontrol parametrization
dc.subjectconstraint transcription
dc.subjecttime scaling transform
dc.subjectcomputation method
dc.subjectcontinuous state inequality constraints
dc.titleAn Efficient Computational Approach to a Class of Minmax Optimal Control Problems with Applications
dc.typeJournal Article
dcterms.source.titleANZIAM Journal

© Cambridge University Press 2009

curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusOpen access

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