Title :
Optimal control via Fourier series of operational matrix of integration
Author_Institution :
Dept. of Ind. Eng., Chou Univ., Tokyo, Japan
fDate :
7/1/1989 12:00:00 AM
Abstract :
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
Keywords :
integration; matrix algebra; optimal control; series (mathematics); Fourier series; computational error; expansion coefficients; integration; operational matrix; optimal control; optimal regulator problem; state equations; Algebra; Control systems; Equations; Feedback control; Fourier series; Matrices; Nonlinear control systems; Nonlinear systems; Optimal control; Stress control;
Journal_Title :
Automatic Control, IEEE Transactions on
