Systematic design approach of fuzzy PID stabilizer for DC–DC converters

Abstract DC–DC converters process electrical energy by switching between a fixed number of configurations. The objective of controlling these systems is to provide better performances, ensure closed loop stability and guarantee a simple predictable behaviour. Based on a converter averaged model, we propose, in this paper, a systematic design approach of a fuzzy PID. The choice of controller parameters stands on the whole system stability requirements. Extension of the obtained asymptotic stability to structural stability is presented to show that the developed controller ensures also a simple and predictable behaviour of the converter. Finally, we illustrate the efficiency of the proposed fuzzy PID design approach through simulations in voltage mode as well as in current mode control.

[1]  Isabelle Queinnec,et al.  Passivity-based integral control of a boost converter for large-signal stability , 2006 .

[2]  Kestutis Pyragas Control of chaos via an unstable delayed feedback controller. , 2001, Physical review letters.

[3]  Ying-Cheng Lai,et al.  Controlling chaos , 1994 .

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

[5]  Dipti Srinivasan,et al.  A universal fuzzy controller for a non-linear power electronic converter , 2002, 2002 IEEE World Congress on Computational Intelligence. 2002 IEEE International Conference on Fuzzy Systems. FUZZ-IEEE'02. Proceedings (Cat. No.02CH37291).

[6]  Byung Kook Kim,et al.  Design and stability analysis of single-input fuzzy logic controller , 2000, IEEE Trans. Syst. Man Cybern. Part B.

[7]  Romeo Ortega,et al.  Passivity-based controllers for the stabilization of Dc-to-Dc Power converters , 1997, Autom..

[8]  Robin J. Evans,et al.  Control of chaos: Methods and applications in engineering, , 2005, Annu. Rev. Control..

[9]  P. C. Sen,et al.  Comparative study of proportional-integral, sliding mode and fuzzy logic controllers for power converters , 1995, IAS '95. Conference Record of the 1995 IEEE Industry Applications Conference Thirtieth IAS Annual Meeting.

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

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

[12]  Nikita Barabanov,et al.  A robustly stable output feedback saturated controller for the boost DC-to-DC converter ☆ , 2000 .

[13]  Kai-Yuan Cai,et al.  An improved robust fuzzy-PID controller with optimal fuzzy reasoning , 2005, IEEE Trans. Syst. Man Cybern. Part B.

[14]  Kamel Guesmi,et al.  Enhanced modelling technique for DC-DC power converters , 2006 .

[15]  A. Hamzaoui,et al.  Comparative study of the dynamics and overall performance of boost converter with conventional and fuzzy control in application to PFC , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[16]  M. Lucanu,et al.  A hybrid PID-fuzzy controller for dc/dc converters , 2003, Signals, Circuits and Systems, 2003. SCS 2003. International Symposium on.

[17]  F. Giri,et al.  Adaptive sliding mode control of PWM boost DC-DC converters , 2006, 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control.

[18]  Dipti Srinivasan,et al.  Design and analysis of SISO fuzzy logic controller for power electronic converters , 2004, 2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542).

[19]  Stefan Preitl,et al.  Stability analysis and development of a class of fuzzy control systems , 2000 .

[20]  Kamel Guesmi,et al.  A fuzzy controller synthesis for a boost converter , 2005 .