A Novel Fuzzy Logic Based Adaptive Supertwisting Sliding Mode Control Algorithm for Dynamic Uncertain Systems

This paper presents a novel fuzzy logic based Adaptive Super-twisting Sliding Mode Controller for the control of dynamic uncertain systems. The proposed controller combines the advantages of Second order Sliding Mode Control, Fuzzy Logic Control and Adaptive Control. The reaching conditions, stability and robustness of the system with the proposed controller are guaranteed. In addition, the proposed controller is well suited for simple design and implementation. The effectiveness of the proposed controller over the first order Sliding Mode Fuzzy Logic controller is illustrated by Matlab based simulations performed on a DC-DC Buck converter. Based on this comparison, the proposed controller is shown to obtain the desired transient response without causing chattering and error under steady-state conditions. The proposed controller is able to give robust performance in terms of rejection to input voltage variations and load variations.

[1]  Vadim I. Utkin,et al.  ON DISCRETE-TIME SLIDING MODES , 1990 .

[2]  Wei Zhang,et al.  Sliding Mode Fuzzy Control with Application to Electrical Servo Drive , 2006, Sixth International Conference on Intelligent Systems Design and Applications.

[3]  Chao-Lin Kuo,et al.  Design of a Novel Fuzzy Sliding-Mode Control for Magnetic Ball Levitation System , 2005, J. Intell. Robotic Syst..

[4]  Harish Sheeranalli Venkatarama,et al.  Minimizing Response Time in an Autonomic Computing System Using Proportional Control , 2010, NetCoM 2010.

[5]  John Y. Hung,et al.  PID controller modifications to improve steady-state performance of digital controllers for buck and boost converters , 2002, APEC. Seventeenth Annual IEEE Applied Power Electronics Conference and Exposition (Cat. No.02CH37335).

[6]  Quanmin Zhu,et al.  Fuzzy sliding mode control for discrete nonlinear systems , 2003 .

[7]  Okyay Kaynak,et al.  Fuzzy Wavelet Neural Networks for Identification and Control of Dynamic Plants—A Novel Structure and a Comparative Study , 2008, IEEE Transactions on Industrial Electronics.

[8]  A. Cheriti,et al.  A fuzzy controller for a DC to DC converter using a digital integrator , 2000, 2000 Canadian Conference on Electrical and Computer Engineering. Conference Proceedings. Navigating to a New Era (Cat. No.00TH8492).

[9]  Dr. Hans Hellendoorn,et al.  An Introduction to Fuzzy Control , 1996, Springer Berlin Heidelberg.

[10]  Yun-Cheng Huang,et al.  Fuzzy terminal sliding-mode controller for robotic manipulators , 2005 .

[11]  Stephen Yurkovich,et al.  Fuzzy Control , 1997 .

[12]  I Eksin,et al.  Self-tuning mechanism for sliding surface slope adjustment in fuzzy sliding mode controllers , 2002 .

[13]  John Y. Hung,et al.  Implementation of a fuzzy controller for DC-DC converters using an inexpensive 8-b microcontroller , 1997, IEEE Trans. Ind. Electron..

[14]  Rudolf P. Severns,et al.  Modern DC-to-DC switchmode power converter circuits , 1985 .

[15]  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).

[16]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[17]  Jen-Yang Chen Rule regulation of fuzzy sliding mode controller design: direct adaptive approach , 2001, Fuzzy Sets Syst..

[18]  Jin Bae Park,et al.  Design of robust fuzzy-model-based controller with sliding mode control for SISO nonlinear systems , 2002, Fuzzy Sets Syst..

[19]  Chieh-Li Chen,et al.  Optimal design of fuzzy sliding-mode control: A comparative study , 1998, Fuzzy Sets Syst..

[20]  Bart Kosko,et al.  Neural networks and fuzzy systems , 1998 .

[21]  Xiangjie Liu,et al.  GA-based fuzzy sliding mode governor for hydro-turbine , 2010, 2010 International Conference on Intelligent Control and Information Processing.

[22]  Chih-Min Lin,et al.  Adaptive Hierarchical Fuzzy Sliding-Mode Control for a Class of Coupling Nonlinear Systems , 2006 .

[23]  Shaocheng Tong,et al.  A Novel Robust Adaptive-Fuzzy-Tracking Control for a Class of NonlinearMulti-Input/Multi-Output Systems , 2010, IEEE Transactions on Fuzzy Systems.

[24]  John Y. Hung,et al.  Digital controller design for buck and boost converters using root locus techniques , 2003, IECON'03. 29th Annual Conference of the IEEE Industrial Electronics Society (IEEE Cat. No.03CH37468).

[25]  Abdelaziz Hamzaoui,et al.  Second-Order Sliding Fuzzy Interval Type-2 Control for an Uncertain System With Real Application , 2012, IEEE Transactions on Fuzzy Systems.

[26]  Gérard-André Capolino,et al.  Fuzzy Logic and Sliding-Mode Controls Applied to Six-Phase Induction Machine With Open Phases , 2010, IEEE Transactions on Industrial Electronics.