Parallel structure and tuning of a fuzzy PID controller
type: Item
instance of: scholarly article
title: Parallel structure and tuning of a fuzzy PID controller
zbMATH Open document ID: 0959.93036
DOI: 10.1016/S0005-1098(99)00192-2
author: Chen Liu
author: Jian-Xin Xu
author: Chang Chieh Hang
published in: Automatica
publication date: 2001-05-02T00:00:00Z
review text: The paper deals with an analysis and design of a parallel structure of a fuzzy PID control architecture. The topology of this controller involves a parallel combination of a fuzzy PI and fuzzy PD controller. Each of these fuzzy controllers is implemented with the use of two triangular fuzzy sets defined in each input variable and three fuzzy sets (singletons) defined in the output space. A systematic tuning method based on gain margin and phase margin specifications is introduced. A comparative analysis reveals a superiority of the proposed controller over the existing controllers. The bounded-input bounded-output stability analysis is completed resulting in a sufficient stability condition. Experimental results concern a coupled-tank system.
reviewed by: Witold Pedrycz
Mathematics Subject Classification ID: 93C42
Mathematics Subject Classification ID: 93B51
Mathematics Subject Classification ID: 93D25
zbMATH DE Number: 1441455
zbMATH Keywords: Takagi-Sugeno models
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: parallel structure
zbMATH Keywords: fuzzy PID control
zbMATH Keywords: fuzzy controllers
zbMATH Keywords: BIBO stability analysis
MaRDI profile type: Publication
cites work: Design of PI controllers based on non-convex optimization
cites work: Fuzzy controller theory: Limit theorems for linear fuzzy control rules
cites work: Q4093255
cites work: Tuning of PID controllers based on gain and phase margin specifications
cites work: The simplest fuzzy controllers using different inference methods are different nonlinear proportional-integral controllers with variable gains
full work available at URL: s0005-1098(99)00192-2
OpenAlex ID: W1966485482
description: scientific article; zbMATH DE number 1441455