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Optimal control via Fourier series of operational matrix of integration

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1 Author(s)
Endow, Y. ; Dept. of Ind. Eng., Chou Univ., Tokyo, Japan

The state equations of an optimal regulator problem are given in terms of the truncated Fourier series and the associated operational matrix of integration. An effective computational algorithm is developed to calculate the expansion coefficients of the derivatives of state variables for saving computer storage and time and minimizing the computational error. An illustrative example is given, and satisfactory computational results are obtained

Published in:

Automatic Control, IEEE Transactions on  (Volume:34 ,  Issue: 7 )