Fuzzy PD plus I Controller of a CSTR for Temperature Control

  • Lee, Joo-Yeon (Graduated School, Korea Maritime and Ocean University) ;
  • So, Hye-Rim (Graduated School, Korea Maritime and Ocean University) ;
  • Lee, Yun-Hyung (Education & Research Team, Korea Institute of Maritime and Fisheries Technology) ;
  • Oh, Sea-June (Division of Marine Engineering, Korea Maritime and Ocean University) ;
  • Jin, Gang-Gyoo (Division of IT, Korea Maritime and Ocean University) ;
  • So, Myung-Ok (Division of Marine Engineering, Korea Maritime and Ocean University)
  • Received : 2015.05.13
  • Accepted : 2015.06.11
  • Published : 2015.06.30


A chemical reaction occurring in CSTR (Continuous Stirred Tank Reactor) is significantly affected by the concentration, temperature, pressure, and reacting time of materials, and thus it has strong nonlinear and time-varying characteristics. Also, when an existing linear PID controller with fixed gain is used, the performance could deteriorate or could be unstable if the system parameters change due to the change in the operating point of CSTR. In this study, a technique for the design of a fuzzy PD plus I controller was proposed for the temperature control of a CSTR process. In the fuzzy PD plus I controller, a linear integral controller was added to a fuzzy PD controller in parallel, and the steady-state performance could be improved based on this. For the fuzzy membership function, a Gaussian type was used; for the fuzzy inference, the Max-Min method of Mamdani was used; and for the defuzzification, the center of gravity method was used. In addition, the saturation state of the actuator was also considered during controller design. The validity of the proposed method was examined by comparing the set-point tracking performance and the robustness to the parameter change with those of an adaptive controller and a nonlinear proportional-integral-differential controller.


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