A fuzzy model based adaptive PID controller design for nonlinear and uncertain processes.

We develop a novel adaptive tuning method for classical proportional-integral-derivative (PID) controller to control nonlinear processes to adjust PID gains, a problem which is very difficult to overcome in the classical PID controllers. By incorporating classical PID control, which is well-known in industry, to the control of nonlinear processes, we introduce a method which can readily be used by the industry. In this method, controller design does not require a first principal model of the process which is usually very difficult to obtain. Instead, it depends on a fuzzy process model which is constructed from the measured input-output data of the process. A soft limiter is used to impose industrial limits on the control input. The performance of the system is successfully tested on the bioreactor, a highly nonlinear process involving instabilities. Several tests showed the method's success in tracking, robustness to noise, and adaptation properties. We as well compared our system's performance to those of a plant with altered parameters with measurement noise, and obtained less ringing and better tracking. To conclude, we present a novel adaptive control method that is built upon the well-known PID architecture that successfully controls highly nonlinear industrial processes, even under conditions such as strong parameter variations, noise, and instabilities.

[1]  Lotfi A. Zadeh,et al.  Outline of a New Approach to the Analysis of Complex Systems and Decision Processes , 1973, IEEE Trans. Syst. Man Cybern..

[2]  János Abonyi,et al.  Effective optimization for fuzzy model predictive control , 2004, IEEE Transactions on Fuzzy Systems.

[3]  David Q. Mayne,et al.  Model predictive control: Recent developments and future promise , 2014, Autom..

[4]  Li-Xin Wang,et al.  A Course In Fuzzy Systems and Control , 1996 .

[5]  L. E. Scales,et al.  Introduction to Non-Linear Optimization , 1985 .

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

[7]  Aydogan Savran,et al.  A multivariable predictive fuzzy PID control system , 2013, Appl. Soft Comput..

[8]  J. G. Ziegler,et al.  Optimum Settings for Automatic Controllers , 1942, Journal of Fluids Engineering.

[9]  Aydogan Savran An adaptive recurrent fuzzy system for nonlinear identification , 2007, Appl. Soft Comput..

[10]  Lee A. Feldkamp,et al.  Neurocontrol of nonlinear dynamical systems with Kalman filter trained recurrent networks , 1994, IEEE Trans. Neural Networks.

[11]  Yun Li,et al.  PID control system analysis, design, and technology , 2005, IEEE Transactions on Control Systems Technology.

[12]  Toru Yamamoto,et al.  Design of a Data-Driven PID Controller , 2009, IEEE Transactions on Control Systems Technology.

[13]  Albert Y. Zomaya,et al.  Adaptive Model-Based Control using Neural Networks , 1993 .

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

[15]  Prabin Kumar Padhy,et al.  Improved automatic tuning of PID controller for stable processes. , 2009, ISA transactions.

[16]  M. Sugeno,et al.  Fuzzy modeling and control of multilayer incinerator , 1986 .

[17]  Li-Xin Wang,et al.  Adaptive fuzzy systems and control , 1994 .

[18]  Wynn C. Stirling,et al.  Model predictive satisficing fuzzy logic control , 1999, IEEE Trans. Fuzzy Syst..

[19]  Aydogan Savran,et al.  Multifeedback-Layer Neural Network , 2007, IEEE Transactions on Neural Networks.

[20]  B M Patre,et al.  Decentralized PI/PID controllers based on gain and phase margin specifications for TITO processes. , 2012, ISA transactions.

[21]  Chanchal Dey,et al.  An improved auto-tuning scheme for PI controllers. , 2008, ISA transactions.

[22]  P. Marsh,et al.  TURN ON, TUNE IN , 1998 .

[23]  Y M Zhao,et al.  Performance-based parameter tuning method of model-driven PID control systems. , 2012, ISA transactions.

[24]  Gaoxi Xiao,et al.  An analytical method for PID controller tuning with specified gain and phase margins for integral plus time delay processes. , 2011, ISA transactions.

[25]  Helen H. Lou,et al.  Fuzzy model predictive control , 2000, IEEE Trans. Fuzzy Syst..

[26]  M O Efe MIMO variable structure controller design for a bioreactor benchmark process. , 2007, ISA transactions.

[27]  Michio Sugeno,et al.  Fuzzy identification of systems and its applications to modeling and control , 1985, IEEE Transactions on Systems, Man, and Cybernetics.

[28]  David Clarke,et al.  On the automatic tuning and adaptation of PID controllers , 2006 .

[29]  Yash P Gupta,et al.  Control of nonlinear processes by using linear model predictive control algorithms. , 2008, ISA transactions.

[30]  V Vijayan,et al.  Design of PID controllers in double feedback loops for SISO systems with set-point filters. , 2012, ISA transactions.

[31]  Daniel Sbarbaro,et al.  An adaptive pattern based nonlinear PID controller. , 2004, ISA transactions.

[32]  Manfred Morari,et al.  Model predictive control: Theory and practice - A survey , 1989, Autom..

[33]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[34]  Maysam F. Abbod,et al.  Online elicitation of Mamdani-type fuzzy rules via TSK-based generalized predictive control , 2003, IEEE Trans. Syst. Man Cybern. Part B.

[35]  Lyle H. Ungar,et al.  A bioreactor benchmark for adaptive network-based process control , 1990 .

[36]  Emil Levi,et al.  Identification of complex systems based on neural and Takagi-Sugeno fuzzy model , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).