Volume 6, Issue 4, August 2017, Page: 185-188
Research on the Application of Numerical Method in Control Theory
Yuanyuan Zhang, College of Science, China Three Gorges University, Yichang, China
Received: Jul. 19, 2017;       Published: Jul. 19, 2017
DOI: 10.11648/j.acm.20170604.14      View  630      Downloads  57
Abstract
Time optimal control problems of ordinary differential equations have been of great interest for decades due to their practical applications. There are mainly two ways to compute optimal times. The first one is the Switching Time Optimization method, where the switching time is taken as extra unknowns and the optimization problems is solved by nonlinear programming technique. The second one is based on the first order necessary condition for optimal control. In this paper, we extend the numerical method given in [1] for the computation of the optimal time for the time optimal control problems. In the end some examples are provided to show the efficiency of the numerical method.
Keywords
Numerical Method, Ordinary Differential Equation, Time Optimal Control Problems
To cite this article
Yuanyuan Zhang, Research on the Application of Numerical Method in Control Theory, Applied and Computational Mathematics. Vol. 6, No. 4, 2017, pp. 185-188. doi: 10.11648/j.acm.20170604.14
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