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dc.contributor.authorQun, Lin
dc.contributor.authorLoxton, Ryan
dc.contributor.authorTeo, Kok Lay
dc.contributor.authorWu, Yong Hong
dc.identifier.citationQun, Lin and Loxton, Ryan and Teo, Kok Lay and Wu, Yong Hong. 2011. A New Computational Method for a Class of Free Terminal Time Optimal Control Problems. Pacific Journal of Optimization. 7 (1): pp. 63-81.

We develop a numerical method for solving an optimal control problem whose terminal time is not fixed, but is instead determined by a state-dependent stopping criterion. The main idea of this method is to approximate hte control by a piecewise constant function whose values and switching times are decision variables to be determined optimally. The optimal control problem then becomes an optimization problem with a finite number of decision variables. We develop a novel method for computing the gradient of the cost function in this approximate problem. On this basis, the approximate problem can be solved using any gradient-based optimization technique. We use this approach to solve an aeronautical control problem involving a gliding projectile. We also prove several important convergence results that justify our approximation scheme.

dc.publisherYokohama Publishers
dc.subjectnonlinear optimal control - control parameterization - gradient-based optimization - nonlinear programming
dc.titleA New Computational Method for a Class of Free Terminal Time Optimal Control Problems
dc.typeJournal Article
dcterms.source.titlePacific Journal of Optimization
curtin.departmentDepartment of Mathematics and Statistics
curtin.accessStatusFulltext not available

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