Design and analysis of a fuzzy proportional-integral-derivative controller

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)297-314
Journal / PublicationFuzzy Sets and Systems
Volume79
Issue number3
Publication statusPublished - 1996
Externally publishedYes

Abstract

This paper describes the design principle, tracking performance and stability analysis of a fuzzy proportional-integral (PI) plus a derivative (D) controller. First, the fuzzy PI+D controller is derived from the conventional continuous-time linear PI+D controller. Then, the fuzzification, control-rule base, and defuzzification in the design of the fuzzy controller are discussed in detail. The resulting controller is a discrete-time fuzzy version of the conventional PI+D controller, which has the same linear structure in the proportional, integral and derivative parts but has nonconstant gains: the proportional, integral and derivative gains are nonlinear functions of the input signals. The new fuzzy PI+D controller thus preserves the simple linear structure of its conventional counterpart yet enhances the self-tuning control capability. Computer simulation results have demonstrated the advantages of the fuzzy controller, particularly when the process to be controlled is nonlinear. After a brief stability analysis, where a simple and realistic sufficient condition for the bounded-input/bounded-output stability of the overall feedback control system was derived, several computer simulation results are shown to compare with the conventional PI+D controller. Computer simulation results have shown the new fuzzy controller indeed has satisfactory tracking performance. © 1996 Elsevier Science B.V. All rights reserved.

Research Area(s)

  • Control theory, Engineering, Fuzzy control systems, Membership functions, PID controllers, Process control, Stability analysis

Citation Format(s)

Design and analysis of a fuzzy proportional-integral-derivative controller. / Misir, Dave; Malki, Heidar A.; Chen, Guanrong.
In: Fuzzy Sets and Systems, Vol. 79, No. 3, 1996, p. 297-314.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review