Robust PID Controller design using Fuzzy Pole Placement Techniques

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• 作者：Abhishek Dey ^{abhishektsk.dey@gmail.com" class="auth_mail" title="E-mail the corresponding author} ; Ramakalyan Ayyagari ^{rkalyn@nitt.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Robust controller ; fuzzy parametric uncertain systems ; pole placement ; fuzzy system of linear equations ; PID controller
• 刊名：IFAC-PapersOnLine
• 出版年：2016
• 出版时间：2016
• 年：2016
• 卷：49
• 期：1
• 页码：789-794
• 全文大小：1012 K

文摘

This paper deals with designing robust PID controllers for fuzzy parametric uncertain systems to meet desired specification levels for different plants in a family. Controllers are designed to map a fuzzy plant onto a desired fuzzy set of closed loop specifications. The general pole placement technique which places closed loop poles in desired locations in the s-plane is discussed for linear plants with fuzzy parametric uncertainty. The controller coefficients are determined by solving a fuzzy linear system of equations (FLSE) where the solution is crisp rather than fuzzy. Hence the controller is a crisp robust controller. Fuzzy arithmetic is used to solve the system for α-cuts. The proposal is supported by solving numerical examples and simulation results show the effectiveness of the proposed method in designing robust PID controllers.