Optimal Control of Delay Systems by Using a Hybrid Functions Approximation |
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Authors: | N?Haddadi Y?Ordokhani Email author" target="_blank">M?RazzaghiEmail author |
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Institution: | 1.Department of Mathematics,Alzahra University,Tehran,Iran;2.Department of Mathematics and Statistics,Mississippi State University,Mississippi State,USA |
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Abstract: | In this paper, a new numerical method for solving the optimal control of linear time-varying delay systems with quadratic
performance index is presented. The method is based upon hybrid functions approximation. The properties of hybrid functions,
consisting of block-pulse functions and Bernoulli polynomials, are presented. The operational matrices of integration, product,
delay and the integration of the cross product of two hybrid functions of block-pulse and Bernoulli polynomials vectors are
given. These matrices are then utilized to reduce the solution of the optimal control of delay systems to the solution of
algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. |
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Keywords: | |
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