Optimal closed loop control for nonlinear systems using Chebyshev polynomials

Author

Jaddu, Hussein ; Shimemura, Etsujiro

Author_Institution

Sch. of Inf. Sci., Japan Adv. Inst. of Sci. & Technol., Ishikawa, Japan

Volume

1

fYear

1998

fDate

21-26 Jun 1998

Firstpage

667

Abstract

A method is proposed to construct the optimal feedback control law of a nonlinear optimal control problem. The method is based on two steps: the first step is to determine the open loop optimal control and trajectories, by using the quasilinearization and the state variables parameterization via Chebyshev polynomials of the first type; the second step is to use the results of the last quasilinearization iteration, when acceptable convergence error is achieved, to obtain the optimal feedback control law. To show the effectiveness of the proposed method, the simulation results of a nonlinear optimal control problem are shown

Keywords

control system synthesis; convergence of numerical methods; feedback; linearisation techniques; nonlinear control systems; optimal control; polynomials; quadratic programming; Chebyshev polynomials; convergence error; nonlinear optimal control problem; nonlinear systems; open loop optimal control; optimal closed loop control; quasilinearization; Chebyshev approximation; Control systems; Convergence; Error correction; Feedback control; Nonlinear control systems; Nonlinear systems; Open loop systems; Optimal control; Polynomials;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1998. Proceedings of the 1998

Conference_Location

Philadelphia, PA

ISSN

0743-1619

Print_ISBN

0-7803-4530-4

Type

conf

DOI

10.1109/ACC.1998.694754

Filename

694754