Optimal control for linear systems with time delay in control input |
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| Authors: | Michael Basin Jesus Rodriguez-Gonzalez |
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| Institution: | a Department of Physical and Mathematical Sciences, Autonomous University of Nuevo Leon, Apdo postal 144-F, San Nicolas de los Garza, Nuevo Leon 66450, Mexico
b Autonomous University of Coahuila, Coahuila, Mexico |
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| Abstract: | This paper presents the optimal regulator for a linear system with time delay in control input and a quadratic cost function. The optimal regulator equations are obtained using the duality principle, which is applied to the optimal filter for linear systems with time delay in observations, and then proved using the maximum principle. Performance of the obtained optimal regulator is verified in the illustrative example against the best linear regulator available for linear systems without delays. Simulation graphs and comparison tables demonstrating better performance of the obtained optimal regulator are included. |
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| Keywords: | Linear time-delay system Optimal control Filtering |
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