Sliding mode control of Boost converter with jump flow switched system

Abstract In the Boost converter, the equivalent series resistance (ESR) of the output capacitor, may cause output voltage ( v o ) jumps, that are not modeled commonly in the literature. These jump discontinuities in v o , lead to performance issues in switching surface (SS) controllers. In this paper, these ESR effects are modeled using switched systems with state jumps, called jump-flow switched (JFS) systems. Furthermore, it is shown that approximating the capacitor voltage ( v c ), with v o , can cause undesired limit cycles, oscillations, chattering or instability issues. To resolve these issues, a non-jumping normal switched system is defined for JFS systems, that is equivalent to the internal continuous dynamics. Simulation and experimental results show the fast and robust responses of the controller board with Boost converter.

[1]  Jian Sun,et al.  Ripple-Based Control of Switching Regulators—An Overview , 2009, IEEE Transactions on Power Electronics.

[2]  Jan T. Bialasiewicz,et al.  Power-Electronic Systems for the Grid Integration of Renewable Energy Sources: A Survey , 2006, IEEE Transactions on Industrial Electronics.

[3]  Guohua Zhou,et al.  Constant-Frequency Peak-Ripple-Based Control of Buck Converter in CCM: Review, Unification, and Duality , 2014, IEEE Transactions on Industrial Electronics.

[4]  R. M. Bass,et al.  Extensions of averaging theory for power electronic systems , 1994, Power Electronics Specialists Conference.

[5]  Zoran Mihajlovic,et al.  Output ripple analysis of switching DC-DC converters , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  Hiroo Sekiya,et al.  Small-signal analysis of closed-loop PWM boost converter in CCM with complex impedance load , 2016, 2016 IEEE International Symposium on Circuits and Systems (ISCAS).

[7]  Xin Guo,et al.  A Switching Control Strategy Based on Switching System Model of Three-Phase VSR Under Unbalanced Grid Conditions , 2021, IEEE Transactions on Industrial Electronics.

[8]  Asghar Taheri,et al.  Constrained Near-Time-Optimal Sliding-Mode Control of Boost Converters Based on Switched Affine Model Analysis , 2018, IEEE Transactions on Industrial Electronics.

[9]  Ebrahim Babaei,et al.  Operational Modes and Output-Voltage-Ripple Analysis and Design Considerations of Buck–Boost DC–DC Converters , 2012, IEEE Transactions on Industrial Electronics.

[10]  Marian K. Kazimierczuk,et al.  Open loop small-signal control-to-output transfer function of PWM buck converter for CCM: modeling and measurements , 1996, Proceedings of 8th Mediterranean Electrotechnical Conference on Industrial Applications in Power Systems, Computer Science and Telecommunications (MELECON 96).

[11]  Luca Zaccarian,et al.  Practical Stabilization of Switched Affine Systems With Dwell-Time Guarantees , 2019, IEEE Transactions on Automatic Control.

[12]  Chen Qi,et al.  Uniform Models of PWM DC–DC Converters for Discontinuous Conduction Mode Considering Parasitics , 2014, IEEE Transactions on Industrial Electronics.

[13]  Dariusz Czarkowski,et al.  Circuit models of PWM DC-DC converters , 1992, Proceedings of the IEEE 1992 National Aerospace and Electronics Conference@m_NAECON 1992.

[14]  Luca Zaccarian,et al.  Hybrid dynamic modeling and control of switched affine systems: Application to DC-DC converters , 2015, 2015 54th IEEE Conference on Decision and Control (CDC).

[15]  Lennart Ljung,et al.  System Identification: Theory for the User , 1987 .

[16]  Tobias Geyer,et al.  Direct Model Predictive Current Control Strategy of DC–DC Boost Converters , 2013, IEEE Journal of Emerging and Selected Topics in Power Electronics.

[17]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1976, 1970 IEEE Power Electronics Specialists Conference.

[18]  H. Ren,et al.  A simplified Mixed Logical Dynamic model and Model Predictive Control of Boost converter with current reference compensator , 2015, 2015 IEEE 24th International Symposium on Industrial Electronics (ISIE).

[19]  István Nagy,et al.  Control features of dual-channel DC-DC converters , 2002, IEEE Trans. Ind. Electron..

[20]  Michael Taylor Introduction to Differential Equations , 2011 .

[21]  Amir Ghasemian,et al.  Boost Converters' Proximate Constrained Time-Optimal Sliding Mode Control Based on Hybrid Switching Model , 2019, Complex..

[22]  R. M. Bass,et al.  Switching frequency dependent averaged models for PWM DC-DC converters , 1995 .

[23]  Ricardo G. Sanfelice,et al.  Robust Global Stabilization of the DC-DC Boost Converter via Hybrid Control , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

[24]  K. C. Daly Ripple determination for switch-mode DC/DC convertors , 1982 .

[25]  Bocheng Bao,et al.  Effect of output capacitor ESR on dynamic performance of voltage-mode hysteretic controlled buck converter , 2013 .