Validation of a synthesis technique for the optimal control of an electro-hydraulic positioning system

Author

Abbott, Richard D. ; McLain, Timothy W.

Author_Institution

Idaho Technol., Salt Lake City, UT, USA

Volume

6

fYear

2000

fDate

2000

Firstpage

4119

Abstract

The successive Galerkin approximation (SGA) method is presented as a means for approximating solutions to the Hamilton-Jacobi-Bellman (HJB) equation. The SGA strategy is applied to the development of optimal control laws for an electrohydraulic positioning system (EHPS) having nonlinear dynamics. An EHPS dynamic model is presented along with an experimental validation of the model. Results demonstrating the experimental application of the SGA synthesis strategy to an EHPS under a variety of operating conditions are presented. These results are compared to those obtained from a linear quadratic regulator developed from linearized model equations

Keywords

Galerkin method; Jacobian matrices; approximation theory; control system synthesis; electrohydraulic control equipment; nonlinear control systems; nonlinear dynamical systems; optimal control; position control; EHPS; HJB equation; Hamilton-Jacobi-Bellman equation; LQ regulator; SGA strategy; control synthesis technique validation; electrohydraulic positioning system; linear quadratic regulator; linearized model equations; nonlinear dynamics; optimal control; successive Galerkin approximation; Closed-form solution; Control system synthesis; Control systems; Linear systems; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Optimal control; Performance analysis; Regulators;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2000. Proceedings of the 2000

Conference_Location

Chicago, IL

ISSN

0743-1619

Print_ISBN

0-7803-5519-9

Type

conf

DOI

10.1109/ACC.2000.876996

Filename

876996