Computational algorithm based on state parametrization for constrained nonlinear optimal control problem

Author

Jaddu, Hussein ; Shimemura, Etsujiro

Author_Institution

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

Volume

5

fYear

1997

fDate

10-12 Dec 1997

Firstpage

4908

Abstract

An algorithm, based on quasi-linearization and state variable parametrization by using Chebyshev polynomials, is proposed to solve the nonlinear optimal control problem subject to terminal state constraints and control saturation constraints. By the virtue of the second method of quasi-linearization and state parametrization, the difficult nonlinear optimal control problem is converted into a sequence of standard quadratic programming problems. An example is given to show the effectiveness of the proposed algorithm

Keywords

linearisation techniques; nonlinear control systems; optimal control; polynomials; quadratic programming; Chebyshev polynomials; control saturation constraints; nonlinear control systems; optimal control; quadratic programming; quasi-linearization; state parametrization; terminal state constraints; Chebyshev approximation; Differential equations; Information science; Mathematical programming; Nonlinear equations; Optimal control; Performance analysis; Polynomials; Quadratic programming; Strain control;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on

Conference_Location

San Diego, CA

ISSN

0191-2216

Print_ISBN

0-7803-4187-2

Type

conf

DOI

10.1109/CDC.1997.649815

Filename

649815