Optimal control of nonlinear systems via orthogonal functions

Author

Mohan, B.M. ; Kar, Sanjeeb Kumar

Author_Institution

Dept. of Electr. Eng., Indian Inst. of Technol., Kharagpur, India

fYear

2011

fDate

28-30 Dec. 2011

Firstpage

1

Lastpage

5

Abstract

A nonlinear operational matrix is derived using two different classes orthogonal functions (OFs), namely Legendre polynomials (LPs) and block pulse functions (BPFs). Using the nonlinear operational matrix and other relevant operational properties of OFs an approximate solution for a nonlinear optimal control problem with quadratic performance index is obtained. Two examples are included to demonstrate the validity of the proposed approach.

Keywords

Legendre polynomials; approximation theory; functions; matrix algebra; nonlinear control systems; optimal control; Legendre polynomials; block pulse functions; nonlinear operational matrix; nonlinear optimal control problem; nonlinear systems; orthogonal functions; quadratic performance index; Chebyshev approximation; Educational institutions; Electrical engineering; Nonlinear systems; Optimal control; Polynomials; Bilinear systems; Block pulse functions; Legendre polynomials; Nonlinear systems; Optimal control; Orthogonal functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Energy, Automation, and Signal (ICEAS), 2011 International Conference on

Conference_Location

Bhubaneswar, Odisha

Print_ISBN

978-1-4673-0137-4

Type

conf

DOI

10.1109/ICEAS.2011.6147166

Filename

6147166