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research-article

Design of Robust Double-Fuzzy-Summation Non-PDC Controller for Chaotic Power Systems

[+] Author and Article Information
Vafamand Navid

School of Electrical and Computer Engineering, Shiraz University, Shiraz, Fars, Iran
n.vafamand@shirazu.ac.ir

Mohammad Hassan Khooban

Department of Energy Technology, Aalborg University, Aalborg, Denmark
mhk@et.aau.dk

Alireza Khayatian

School of Electrical and Computer Engineering, Shiraz University, Shiraz, Fars, Iran
khayatia@shirazu.ac.ir

Frede Blaabjerg

Department of Energy Technology, Aalborg University, Aalborg, Denmark
fbl@et.aau.dk

1Corresponding author.

ASME doi:10.1115/1.4037527 History: Received October 30, 2016; Revised June 18, 2017

Abstract

This paper studies a systematic linear matrix inequality (LMI) approach for controller design of nonlinear chaotic power systems. The presented method is based on a Takagi-Sugeno (TS) fuzzy model, a double-fuzzy-summation non-parallel distributed compensation (non-PDC) controller, and a double-fuzzy-summation non-quadratic Lyapunov function (NQLF). Since, time derivatives of fuzzy membership functions appear in the NQLF-based controller design conditions, local controller design criteria is considered and sufficient conditions are formulated in terms of LMIs. Comparing with the existing works in hand, the proposed LMI conditions provide less conservative results due to the special structure of the NQLF and the non-PDC controller in which two fuzzy summations are employed. To evaluate the effectiveness of presented approach, two practical benchmark power systems, which exhibit chaotic behavior, are considered. Simulation results and Hardware-in-the-Loop (HIL) illustrate the advantages of the proposed method compared with the recently published works.

Copyright (c) 2017 by ASME
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