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Open AccessJournal ArticleDOI

Fuzzy control theory: a nonlinear case

Hao Ying, +2 more
- 01 May 1990 - 
- Vol. 26, Iss: 3, pp 513-520
TLDR
It is proved theoretically that such a fuzzy controller, the smallest possible, with two inputs and a nonlinear defuzzification algorithm is equivalent to a nonfuzzy nonlinear proportional-integral (PI) controller with proportional-gain and integral-gain changing with error and rate change of error about a setpoint.
About: 
This article is published in Automatica.The article was published on 1990-05-01 and is currently open access. It has received 476 citations till now. The article focuses on the topics: Defuzzification & Open-loop controller.

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Citations
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An Introduction to Fuzzy Control

Dimiter Driankov, +2 more
TL;DR: Fuzzy controllers are a class of knowledge based controllers using artificial intelligence techniques with origins in fuzzy logic that can be found either as stand-alone control elements or as int ...
Journal ArticleDOI

H/sup /spl infin// tracking design of uncertain nonlinear SISO systems: adaptive fuzzy approach

Bor-Sen Chen, +2 more
- 01 Feb 1996 - 
TL;DR: Computer simulation results confirm that the effect of both the fuzzy approximation error and external disturbance on the tracking error can be attenuated efficiently by the proposed adaptive fuzzy control algorithm.
Journal ArticleDOI

A robust self-tuning scheme for PI- and PD-type fuzzy controllers

Rajani K. Mudi, +1 more
- 01 Feb 1999 - 
TL;DR: The proposed self-tuning technique is applied to both PI- and PD-type FLCs to conduct simulation analysis for a wide range of different linear and nonlinear second-order processes including a marginally stable system where even the well known Ziegler-Nichols tuned conventional PI or PID controllers fail to provide an acceptable performance due to excessively large overshoot.
Journal ArticleDOI

Mixed H/sub 2//H/sub /spl infin// fuzzy output feedback control design for nonlinear dynamic systems: an LMI approach

Bor-Sen Chen, +2 more
- 01 Jun 2000 - 
TL;DR: This study introduces a mixed H/sub 2//H/sub /spl infin// fuzzy output feedback control design method for nonlinear systems with guaranteed control performance using the Takagi-Sugeno fuzzy model to approximate a nonlinear system.
Journal ArticleDOI

Robustness design of nonlinear dynamic systems via fuzzy linear control

Bor-Sen Chen, +2 more
- 01 Oct 1999 - 
TL;DR: In the proposed fuzzy linear control method, the fuzzy linear model provides rough control to approximate the nonlinear control system, while the H/sup /spl infin// scheme provides precise control to achieve the optimal robustness performance.
References
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Journal ArticleDOI

Application of fuzzy algorithms for control of simple dynamic plant

E.H. Mamdani
TL;DR: In this article, the authors describe a scheme in which a fuzzy algorithm is used to control plant, in this case, a laboratory-built steam engine, implemented as an interpreter of a set of rules expressed as fuzzy conditional statements.
Journal ArticleDOI

Fuzzy control theory: The linear case

William Siler, +1 more
- 01 Dec 1989 - 
TL;DR: The linear fuzzy controller is precisely equivalent to a linear non-fuzzy PI controller if mixed fuzzy logic is used to evaluate the control rules, when the fuzzy logics used are selected with due regard to prior associations implied by the control rule operands themselves.
Journal ArticleDOI

Fuzzy controller theory: limit theorems for linear fuzzy control rules

James J. Buckley, +1 more
- 03 May 1989 - 
TL;DR: For a general fuzzy controller employing linear fuzzy control rules it is shown that as the number of rules grow the defuzzified output becomes a linear function of the input.
Journal ArticleDOI

Linear fuzzy controller: it is a linear nonfuzzy controller

J. J. Buckley, +1 more
- 01 Jul 1990 - 
TL;DR: It is shown how to construct a linear fuzzy controller that gives precisely the same control as the PID controller, and it is speculated that nonfuzzy controllers and fuzzy controllers may coincide on an unsuspectingly large class of control problems.

Linear fuzzy controller

James J. Buckley
Frequently Asked Questions (1)
Q1. What are the contributions in this paper?

The authors prove theoretically that a nonlinear fuzzy controller is a nonfuzzy proportional-integral-derivative ( PID ) controller with proportional gain, integral constant, and derivative constant changing with error, rate change of error, and rate change of error rate about a setpoint of a process. The nonlinear fuzzy controller consists of the following parts: 1. The linear defuzzificat ion algorithm 2.