Haar wavelet-based optimal control of time-varying state-delayed systems: a computational method

Author

Karimi, Hamid Reza ; Maralani, P. Jabehdar ; Moshiri, B. ; Lohmann, B.

Author_Institution

Control & Intelligent Process. Center of Excellence, Tehran Univ.

fYear

0

fDate

0-0 0

Abstract

Using Haar wavelets, a computational method is presented to determine the piecewise constant feedback controls for a finite-time linear optimal control problem of a time-varying state-delayed system. The method is simple and computationally advantageous. The approximated optimal trajectory and optimal control are calculated using Haar wavelet integral operational matrix, Haar wavelet product operational matrix and Haar wavelet delay operational matrix. An illustrative example is included to demonstrate the validity and applicability of the technique

Keywords

Haar transforms; delays; feedback; matrix algebra; optimal control; piecewise constant techniques; time-varying systems; wavelet transforms; Haar wavelet delay operational matrix; Haar wavelet integral operational matrix; Haar wavelet-based optimal control; finite-time linear optimal control problem; optimal trajectory; piecewise constant feedback control; time-varying state-delayed system; Automatic control; Chebyshev approximation; Control systems; Nonlinear equations; Optimal control; Polynomials; Propagation delay; Riccati equations; Time varying systems; Transmission line matrix methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence Methods and Applications, 2005 ICSC Congress on

Conference_Location

Istanbul

Print_ISBN

1-4244-0020-1

Type

conf

DOI

10.1109/CIMA.2005.1662339

Filename

1662339