An improved robust fuzzy-PID controller with optimal fuzzy reasoning

Many fuzzy control schemes used in industrial practice today are based on some simplified fuzzy reasoning methods, which are simple but at the expense of losing robustness, missing fuzzy characteristics, and having inconsistent inference. The concept of optimal fuzzy reasoning is introduced in this paper to overcome these shortcomings. The main advantage is that an integration of the optimal fuzzy reasoning with a PID control structure will generate a new type of fuzzy-PID control schemes with inherent optimal-tuning features for both local optimal performance and global tracking robustness. This new fuzzy-PID controller is then analyzed quantitatively and compared with other existing fuzzy-PID control methods. Both analytical and numerical studies clearly show the improved robustness of the new fuzzy-PID controller.

[1]  R. Palm,et al.  Sliding mode fuzzy control , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[2]  Paul P. Wang,et al.  Fuzzy dynamic system and fuzzy linguistic controller classification , 1994, Autom..

[3]  Cai Kaiyuan.  A New Fuzzy Reasoning Method , 2002 .

[4]  M. Mizumoto,et al.  Realization of PID controls by fuzzy control methods , 1992, [1992 Proceedings] IEEE International Conference on Fuzzy Systems.

[5]  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..

[6]  Guojun Wang,et al.  On the Logic Foundation of Fuzzy Reasoning , 1999, Inf. Sci..

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

[8]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[9]  Kai-Yuan Cai,et al.  Robustness of fuzzy reasoning and δ-equalities of fuzzy sets , 2001, IEEE Trans. Fuzzy Syst..

[10]  B. M. Mohan,et al.  Analytical structures and analysis of the simplest fuzzy PD controllers , 2002, IEEE Trans. Syst. Man Cybern. Part B.

[11]  Byung Soo Moon,et al.  Equivalence between fuzzy logic controllers and PI controllers for single input systems , 1995 .

[12]  Tore Hägglund,et al.  Automatic Tuning of Pid Controllers , 1988 .

[13]  André Titli,et al.  Fuzzy controller: design, evaluation, parallel and hierarchical combination with a PID controller , 1995 .

[14]  Sylvie Galichet,et al.  Fuzzy and Linear Controllers , 1998 .

[15]  Ebrahim Mamdani,et al.  Applications of fuzzy algorithms for control of a simple dynamic plant , 1974 .

[16]  Kai-Yuan Cai,et al.  δ-Equalities of fuzzy sets , 1995, Fuzzy Sets Syst..

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

[18]  I. Burhan Türksen,et al.  An approximate analogical reasoning approach based on similarity measures , 1988, IEEE Trans. Syst. Man Cybern..

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

[20]  Y.F. Li,et al.  Development of fuzzy algorithms for servo systems , 1989, IEEE Control Systems Magazine.

[21]  William Siler,et al.  Fuzzy control theory: A nonlinear case , 1990, Autom..

[22]  Sylvie Galichet,et al.  Fuzzy controllers: synthesis and equivalences , 1995, IEEE Trans. Fuzzy Syst..

[23]  Kai-Yuan Cai,et al.  Optimal fuzzy reasoning and its robustness analysis , 2004, Int. J. Intell. Syst..

[24]  M. Pedrycz,et al.  Fuzzy control engineering: reality and challenges , 1995, Proceedings of 1995 IEEE International Conference on Fuzzy Systems..

[25]  J. W. GUAN,et al.  Approximate Reasoning and Evidence Theory , 1997, Inf. Sci..

[26]  George K. I. Mann,et al.  A systematic study of fuzzy PID controllers-function-based evaluation approach , 2001, IEEE Trans. Fuzzy Syst..

[27]  Guanrong Chen,et al.  New design and stability analysis of fuzzy proportional-derivative control systems , 1994, IEEE Trans. Fuzzy Syst..

[28]  Guanrong Chen,et al.  Fuzzy PID controller: Design, performance evaluation, and stability analysis , 2000, Inf. Sci..

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

[30]  Masaharu Mizumoto,et al.  PID type fuzzy controller and parameters adaptive method , 1996, Fuzzy Sets Syst..

[31]  Lotfi A. Zadeh,et al.  The concept of a linguistic variable and its application to approximate reasoning-III , 1975, Inf. Sci..

[32]  Qiang Shen,et al.  A new fuzzy interpolative reasoning method based on center of gravity , 2003, The 12th IEEE International Conference on Fuzzy Systems, 2003. FUZZ '03..

[33]  L Han-Xiong,et al.  Feature-Based Integrated Design of Fuzzy Control Systems , 2002 .

[34]  Ramón Galán,et al.  Fuzzy controllers: lifting the linear-nonlinear frontier , 1992 .

[35]  Hao Ying,et al.  Practical design of nonlinear fuzzy controllers with stability analysis for regulating processes with unknown mathematical models , 1994, Autom..

[36]  Karl-Erik Årzén,et al.  Fuzzy Control Versus Conventional Control , 1999 .

[37]  Zhu Hua.  A New Fuzzy Reasoning Method , 2005 .