Effective Tuning Method for Fuzzy PID with Internal Model Control

An internal model control (IMC) based tuning method is proposed to autotune the fuzzy proportional integral derivative (PID) controller in this paper. An analytical model of the fuzzy PID controller is first derived, which consists of a linear PID controller and a nonlinear compensation item. The nonlinear compensation item can be considered as a process disturbance, and then parameters of the fuzzy PID controller can be analytically determined on the basis of the IMC structure. The stability of the fuzzy PID control system is analyzed using the Lyapunov stability theory. The simulation results demonstrate the effectiveness of the proposed tuning method.

[1]  Carlos E. Garcia,et al.  Internal model control. A unifying review and some new results , 1982 .

[2]  Thomas F. Edgar,et al.  Process Dynamics and Control , 1989 .

[3]  Weiping Li,et al.  Applied Nonlinear Control , 1991 .

[4]  C. Prada,et al.  Self-tuning predictive PID controller , 1991 .

[5]  Han-Xiong Li,et al.  Conventional fuzzy control and its enhancement , 1996, IEEE Trans. Syst. Man Cybern. Part B.

[6]  Han-Xiong Li,et al.  Fuzzy variable structure control , 1997, IEEE Trans. Syst. Man Cybern. Part B.

[7]  Chang Chieh Hang,et al.  Tuning and analysis of a fuzzy PI controller based on gain and phase margins , 1998, IEEE Trans. Syst. Man Cybern. Part A.

[8]  M. Poch,et al.  Wastewater neutralization control based on fuzzy logic: Experimental results , 1999 .

[9]  George K. I. Mann,et al.  Analysis of direct action fuzzy PID controller structures , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[10]  Tore Hägglund,et al.  The future of PID control , 2000 .

[11]  Chang Chieh Hang,et al.  Parallel structure and tuning of a fuzzy PID controller , 2000, Autom..

[12]  H.-X. Li,et al.  Quantitative design and analysis of fuzzy proportional-integralderivative control a step towards autotuning , 2000, Int. J. Syst. Sci..

[13]  Rajani K. Mudi,et al.  A self-tuning fuzzy PI controller , 2000, Fuzzy Sets Syst..

[14]  Hung-Yuan Chung,et al.  A PID type fuzzy controller with self-tuning scaling factors , 2000, Fuzzy Sets Syst..

[15]  Jie Zhang.  A Nonlinear Gain Scheduling Control Strategy Based on Neuro-Fuzzy Networks , 2001 .

[16]  Jietae Lee,et al.  Two-Step IMC−PID Method for Multiloop Control System Design , 2002 .

[17]  Kok Kiong Tan,et al.  Robust self-tuning PID controller for nonlinear systems , 2002 .

[18]  Ibrahim Kaya,et al.  Obtaining Controller Parameters for a New PI-PD Smith Predictor Using Autotuning , 2003 .

[19]  Engin Yesil,et al.  Self tuning fuzzy PID type load and frequency controller , 2004 .

[20]  Yun Li,et al.  PID Control : Patents, software, and hardware for PID control , 2006 .

[21]  M. Sheikhzadeh,et al.  Control of Supersaturation in a Semibatch Antisolvent Crystallization Process Using a Fuzzy Logic Controller , 2007 .