Non-singular terminal sliding-mode control of DC–DC buck converters

Abstract This paper presents a non-singular terminal sliding mode control (NTSMC) method for DC–DC buck converters. The NTSMC method eliminates the singularity problem which arises in the terminal sliding mode due to the fractional power and assures the finite time convergence of the output voltage error to the equilibrium point during the load changes. It is shown that the NTSMC method has the same finite time convergence as that of the terminal sliding mode control (TSMC) method. The influence of the fractional power on the state trajectory of the converter is investigated. It is observed that the slope of the sliding line becomes larger with decreasing value of the fractional power which leads to a faster transient response of the output voltage during the load changes. The theoretical considerations have been verified both by numerical simulations and experimental measurements from a laboratory prototype.

[1]  C. K. Michael Tse,et al.  General Design Issues of Sliding-Mode Controllers in DC–DC Converters , 2008, IEEE Transactions on Industrial Electronics.

[2]  Vadim I. Utkin,et al.  Sliding Modes and their Application in Variable Structure Systems , 1978 .

[3]  Zhihong Man,et al.  Non-singular terminal sliding mode control of rigid manipulators , 2002, Autom..

[4]  Y.M. Lai,et al.  On the practical design of a sliding mode voltage controlled buck converter , 2005, IEEE Transactions on Power Electronics.

[5]  J. Nazarzadeh,et al.  Time-optimal sliding-mode control for multi-quadrant buck converters , 2011 .

[6]  Yan-Fei Liu,et al.  A new sliding mode like control method for buck converter , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[7]  Henry Shu-hung Chung,et al.  A Comparative Study of Boundary Control With First- and Second-Order Switching Surfaces for Buck Converters Operating in DCM , 2007, IEEE Transactions on Power Electronics.

[8]  C.K. Tse,et al.  Adaptive feedforward and feedback control schemes for sliding mode controlled power converters , 2006, IEEE Transactions on Power Electronics.

[9]  Robert Grino,et al.  Sliding mode controlled multiphase buck converter with interleaving and current equalization , 2013 .

[10]  Hong Ren Wu,et al.  A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators , 1994, IEEE Trans. Autom. Control..

[11]  C. K. Michael Tse,et al.  A unified approach to the design of PWM-based sliding-mode voltage controllers for basic DC-DC converters in continuous conduction mode , 2006, IEEE Transactions on Circuits and Systems I: Regular Papers.

[12]  M. Zak.  Terminal attractors for addressable memory in neural networks , 1988 .

[13]  Siew-Chong Tan,et al.  Indirect Sliding Mode Control of Power Converters Via Double Integral Sliding Surface , 2008, IEEE Transactions on Power Electronics.

[14]  D. Maksimovic,et al.  Hybrid Digital Adaptive Control for Fast Transient Response in Synchronous Buck DC–DC Converters , 2009, IEEE Transactions on Power Electronics.

[15]  K. M. Adams,et al.  Quasi-linear modeling and control of DC-DC converters , 1992 .

[16]  Hebertt Sira-Ramírez,et al.  Robust input–output sliding mode control of the buck converter , 2013 .

[17]  Bocheng Bao,et al.  Analysis of Pulse Bursting Phenomenon in Constant-On-Time-Controlled Buck Converter , 2011, IEEE Transactions on Industrial Electronics.

[18]  Yon-Ping Chen,et al.  Sliding mode control and stability analysis of buck DC-DC converter , 2007 .

[19]  C. Q. Lee,et al.  Tracking control of buck converter using sliding-mode with adaptive hysteresis , 1995, Proceedings of PESC '95 - Power Electronics Specialist Conference.

[20]  C. Q. Lee,et al.  Indirect implementations of sliding-mode control law in buck-type converters , 1996, Proceedings of Applied Power Electronics Conference. APEC '96.

[21]  Karel Jezernik,et al.  Discrete-event switching control for buck converter based on the FPGA , 2011 .

[22]  K.K.S. Leung,et al.  Derivation of a second-order switching surface in the boundary control of buck converters , 2004, IEEE Power Electronics Letters.