Keywords

Galerkin approximation, Isaacs equation

Abstract

The successive Galerkin approximation (SGA) algorithm has recently been developed for approximating solutions to the Hamilton-Jacobi-Isaacs equation. The algorithm produces feedback control laws that are stabilizing on a well-defined region of state space. The objective of this paper is to demonstrate the application of the SGA algorithm to two simple examples. The examples serve several purposes: first they illustrate how the algorithm is applied in a setting that is simple enough to write out in detail, second they demonstrate the convergence of the algorithm in a setting where the actual solution can be derived analytically.

Original Publication Citation

Beard, R., McLain, T., and Wen, J. Successive Galerkin Approximation of the Isaacs Equation, Proceedings of the 14th IFAC World Congress, no. 5, pp. 717-743, July 1999, Beijing, China.

Document Type

Conference Paper

Publication Date

1999-7

Publisher

Elsevier

Language

English

College

Ira A. Fulton College of Engineering and Technology

Department

Mechanical Engineering

University Standing at Time of Publication

Assistant Professor

Share

COinS