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Adaptive L 2 Disturbance Attenuation Of Hamiltonian Systems With Parametric Perturbation And Application To Power Systems
Author(s) -
Shen Tielong,
Ortega Romeo,
Lu Qiang,
Mei Shengwei,
Tamura Katsutoshi
Publication year - 2003
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1111/j.1934-6093.2003.tb00105.x
Subject(s) - control theory (sociology) , attenuation , perturbation (astronomy) , parametric statistics , adaptive control , electric power system , hamiltonian (control theory) , computer science , mathematics , power (physics) , physics , mathematical optimization , control (management) , statistics , quantum mechanics , artificial intelligence , optics
This paper deals with the problem of L 2 disturbance attenuation for Hamiltonian systems. We first show that the L 2 gain from the disturbance to a penalty signal may be reduced to any given level if the penalty signal is defined properly. Then, an adaptive version of the controller will be presented to compensate the parameter perturbation. When the perturbed parameters satisfy a suitable matching condition, it is easy to introduce the adaptive mechanism to the controller. Another contribution of this paper is to apply the proposed method to the excitation control problem for power systems. An adaptive L 2 controller for the power system is designed using the proposed method and a simulation result with the proposed controller is given.