Optimal Control for Singular Systems via Hybrid Functions

Lei Zhang¹ , Xing Tao Wang²

Section:Research Paper, Product Type: Isroset-Journal
Vol.1 , Issue.1 , pp.1-7, Feb-2014

Online published on Dec 17, 2014

Copyright © Lei Zhang , Xing Tao Wang . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
By using hybrid functions of general block-pulse functions and Legendre polynomials, the linear-quadratic problem of time-varying singular systems are transformed into the optimization problem of multivariate functions. The approximate solutions of the optimal control and state as well as the optimal value of the objective functional are derived. The numerical examples are worked out.

Key-Words / Index Term :
General Block-Pulse Functions; Legendre Polynomials; Singular Systems; Optimal Control

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