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Journal of Electrical and Computer Engineering
Volume 2017, Article ID 5232507, 6 pages
Research Article

A Decoupling Control Method for Shunt Hybrid Active Power Filter Based on Generalized Inverse System

Xin Li1,2 and Bo Li2

1Key Laboratory of Optoelectronic Technology and Intelligent Control, Ministry of Education, Lanzhou Jiaotong University, Lanzhou 730070, China
2School of Automation & Electrical Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China

Correspondence should be addressed to Xin Li; moc.361@761pfxl

Received 13 April 2017; Accepted 15 June 2017; Published 24 July 2017

Academic Editor: Ephraim Suhir

Copyright © 2017 Xin Li and Bo Li. 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.


In this paper, a novel decoupling control method based on generalized inverse system is presented to solve the problem of SHAPF (Shunt Hybrid Active Power Filter) possessing the characteristics of 2-input-2-output nonlinearity and strong coupling. Based on the analysis of operation principle, the mathematical model of SHAPF is firstly built, which is verified to be invertible using interactor algorithm; then the generalized inverse system of SHAPF is obtained to connect in series with the original system so that the composite system is decoupled under the generalized inverse system theory. The PI additional controller is finally designed to control the decoupled 1-order pseudolinear system to make it possible to adjust the performance of the subsystem. The simulation results demonstrated by MATLAB show that the presented generalized inverse system strategy can realise the dynamic decoupling of SHAPF. And the control system has fine dynamic and static performance.