Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems | Zendy

Waleeda Swaidan | Zendy; Amran Hussin | Zendy

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Feedback Control Method Using Haar Wavelet Operational Matrices for Solving Optimal Control Problems

Author(s) -

Waleeda Swaidan,

Amran Hussin

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/240352

Subject(s) - mathematics , haar wavelet , wavelet , solver , haar , optimal control , mathematical optimization , affine transformation , nonlinear system , control theory (sociology) , discrete wavelet transform , wavelet transform , computer science , control (management) , physics , quantum mechanics , artificial intelligence , pure mathematics

Most of the direct methods solve optimal control problems with nonlinear programming solver. In this paper we propose a novel feedback control method for solving for solving affine control system, with quadratic cost functional, which makes use of only linear systems. This method is a numerical technique, which is based on the combination of Haar wavelet collocation method and successive Generalized Hamilton-Jacobi-Bellman equation. We formulate some new Haar wavelet operational matrices in order to manipulate Haar wavelet series. The proposed method has been applied to solve linear and nonlinear optimal control problems with infinite time horizon. The simulation results indicate that the accuracy of the control and cost can be improved by increasing the wavelet resolution

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