TY - JOUR
T1 - Design and analysis of a fuzzy proportional-integral-derivative controller
AU - Misir, Dave
AU - Malki, Heidar A.
AU - Chen, Guanrong
PY - 1996
Y1 - 1996
N2 - 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.
AB - 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.
KW - Control theory
KW - Engineering
KW - Fuzzy control systems
KW - Membership functions
KW - PID controllers
KW - Process control
KW - Stability analysis
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0030146080&origin=recordpage
U2 - 10.1016/0165-0114(95)00149-2
DO - 10.1016/0165-0114(95)00149-2
M3 - RGC 21 - Publication in refereed journal
VL - 79
SP - 297
EP - 314
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
SN - 0165-0114
IS - 3
ER -