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Optimal control of deterministic systems via shifted Legendre polynomials

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2 Author(s)
Dong-Her Shih, ; National Cheng Kung University, Tainan, Taiwan, Republic of China ; Fan-Chu Kung,

The synthesis of an optimal control function for deterministic systems described by integrodifferential equations is investigated. By using the elegant operational properties of shifted Legendre polynomials, a direct computational algorithm for evaluating the optimal control and trajectory of deterministic systems is developed. An example is given to illustrate the utility of this method.

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Automatic Control, IEEE Transactions on  (Volume:31 ,  Issue: 5 )