Keywords

nonlinear optimal control, attitude control, Galerkin approximation

Abstract

This paper presents the application of the successive Galerkin approximation (SGA) to the Hamilton-Jacobi-Bellman equation to obtain solutions of the optimal attitude control problem. Galerkin's method approximates the value function by a truncated Galerkin series expansion. To do so, a truncated Galerkin basis set is formed. A sufficient number of functions must be included in this Galerkin basis set in order to guarantee that the solution will be a stabilizing control. By increasing the size of the Galerkin basis the quality of the approximation is improved at the cost of rapid growth in the computation load of the SGA. A major result of this paper is the development of the Galerkin basis set in the context of the optimal attitude control problem.

Original Publication Citation

Lawton, J., Beard, R., and McLain, T. Successive Galerkin Approximation of a Nonlinear Optimal Attitude Control, Proceedings of the American Control Conference, vol. 6, pp. 4373-4377, June 1999, San Diego, California.

Document Type

Conference Paper

Publication Date

1999-06-04

Publisher

IEEE

Language

English

College

Ira A. Fulton College of Engineering and Technology

Department

Mechanical Engineering

University Standing at Time of Publication

Assistant Professor

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