Title of Paper:Feedback control of fractional nonlinear differential algebraic systems with Hamiltonian function method

Hits:

Date of Publication:2008-04-01

Journal:APPLIED MATHEMATICS AND COMPUTATION

Included Journals:SCIE、EI

Volume:197

Issue:2

Page Number:904-913

ISSN No.:0096-3003

Key Words:fractional nonlinear differential algebraic; Hamiltonian function method; feedback control

Abstract:In this paper, we first present a fractional Hamiltonian function. Then, based on the dissipative Hamiltonian realization, using the fractional Hamiltonian function method, as a static measurable feedback, a criterion for the fractional nonlinear differential algebraic systems (FNDAS) is proposed to stabilize the multi-machine power system. Finally, FNDAS in presence of disturbance, a fractional H-infinity control strategy is constructed. The proposed stabilization and robust controller can effectively take advantage of the structural characteristics of FNDAS and is simple in form. (C) 2007 Elsevier Inc. All rights reserved.