Fourier-Based Optimal Control of Nonlinear Dynamic Systems

Document Type

Article

Language

eng

Publication Date

3-1990

Publisher

American Society of Mechanical Engineers

Source Publication

Journal of Dynamic Systems, Measurement, and Control

Source ISSN

0022-0434

Abstract

A method for generating near optimal trajectories of linear and nonlinear dynamic systems, represented by deterministic, lumped-parameter models, is proposed. The method is based on a Fourier series approximation of each generalized coordinate that converts the optimal control problem into an algebraic nonlinear programming problem. Due to its inverse dynamic nature, the method avoids many of the numerical difficulties typically encountered in solving standard optimal control problems. Furthermore, the method is easy to implement, capable of handling various types of constraints, and quite effective for solving non-bang-bang type control problems. The results of computer simulation studies compare favorably to optimal solutions obtained by closed-form analyses and/or by other numerical schemes.

Comments

Journal of Dynamic Systems, Measurement, and Control, Vol. 112, No. 1 (March 1990): 17-26. DOI.

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