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Mathematical Problems in Engineering
Volume 2015, Article ID 415281, 11 pages
Research Article

Multiobject Holographic Feedback Control of Differential Algebraic System with Application to Power System

1College of Electrical Engineering, Guangxi University, Nanning, Guangxi 530005, China
2School of Automobile Engineering, Linyi University, Linyi, Shandong 276005, China

Received 13 October 2014; Accepted 2 May 2015

Academic Editor: Hari M. Srivastava

Copyright © 2015 Lanmei Cong et al. 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.


A multiobject holographic feedback (MOHF) control method for studying the nonlinear differential algebraic (NDA) system is proposed. In this method, the nonlinear control law is designed in a homeomorphous linear space by means of constructing the multiobject equations (MOEq) which is in accord with Brunovsky normal form. The objective functions of MOEq are considered to be the errors between the output functions and their references. The relative degree for algebraic system is defined that is key to connecting the nonlinear and the linear control laws. Pole assignment method is addressed for the stability domain of this MOHF control. Since there is no any approximation, the MOHF control is effective in governing the dynamic performance stably both to the small and major disturbance. The application in single machine infinite system (SMIS) shows that this approach is effective in the improvement of stable and transient stability for power system on the disturbance of active power or three-phase short circuit fault.