On the generalized PI sliding mode control of DC-to-DC power converters: A tutorial

A tutorial revisiting of the traditional sliding mode control of DC-to-DC power supplies, or power converters, of the 'buck','boost' and 'buck-boost' types is presented. The limitations of the traditional indirect sliding mode controller schemes are critically evaluated. These refer to the availability of the converter inductor current variable and a lack of robustness with respect to unmodelled load resistance variations. These limitations are overcome thanks to recent developments addressed as 'Generalized PI controllers' which are based on integral reconstructors of the unmeasured observable state variables and utilize only available input and output signals.

[1]  Slobodan Cuk,et al.  A general unified approach to modelling switching-converter power stages , 1977 .

[2]  Slobodan Cuk,et al.  Advances in Switched-Mode Power Conversion Part II , 1983, IEEE Transactions on Industrial Electronics.

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

[4]  Hebertt Sira-Ramírez,et al.  Sliding motions in bilinear switched networks , 1987 .

[5]  H. Sira-Ramírez.  Differential geometric methods in variable-structure control , 1988 .

[6]  P. Lischinsky-Arenas,et al.  Differential algebraic approach in non-linear dynamical compensator design for d.c.-to-d.c. power converters , 1991 .

[7]  George C. Verghese,et al.  Principles of Power Electronics , 2023 .

[8]  Muhammad H. Rashid,et al.  Power Electronics: Circuits, Devices and Applications , 1993 .

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

[10]  H. Sira-Ramirez,et al.  An experimental comparison of several non linear controllers for power converters , 1997, ISIE '97 Proceeding of the IEEE International Symposium on Industrial Electronics.

[11]  Romeo Ortega,et al.  Passivity-based Control of Euler-Lagrange Systems , 1998 .

[12]  M. Fliess,et al.  Regulation of non-minimum phase outputs: a flatness based approach , 1998 .

[13]  H. Sira-Ramirez.  On DC to AC power conversion: a differential flatness approach , 1999, ISIE '99. Proceedings of the IEEE International Symposium on Industrial Electronics (Cat. No.99TH8465).

[14]  M. Fliess,et al.  Continuous-time linear predictive control and flatness: A module-theoretic setting with examples , 2000 .

[15]  Michel Fliess,et al.  State feedbacks without asymptotic observers and generalized PID regulators , 2001 .

[16]  Gerardo Espinosa-Pérez,et al.  Stability of current-mode control for DC-DC power converters , 2002, Syst. Control. Lett..

[17]  M. Guillet,et al.  Sliding mode control of DC-to-DC power converters , 2002, 9th International Conference on Electronics, Circuits and Systems.

[18]  Hebertt Sira-Ramírez,et al.  Sliding mode control of DC‐to‐DC power converters using integral reconstructors , 2002 .

[19]  M. Fliess,et al.  An algebraic framework for linear identification , 2003 .

[20]  Vadim I. Utkin,et al.  Sliding mode control , 2004 .