Optimal control of switched systems with time delay |
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| Affiliation: | 1. Department of Mathematics, Zhongshan University, Guangzhou, PR China;2. Department of Mathematics and Statistics, Curtin University of Technology, Perth, Western Australia, Australia;3. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, PR China |
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| Abstract: | In this note, we develop a computational method for solving an optimal control problem which is governed by a switched dynamical system with time delay. Our approach is to parameterize the switching instants as a new parameter vector to be optimized. Then, we derive the required gradient of the cost function which is obtained via solving a number of delay differential equations forward in time. On this basis, the optimal control problem can be solved as a mathematical programming problem. |
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