Hybrid control scheme for a half-bridge inverter

This paper presents a control law based on Hybrid Dynamical Systems (HDS) theory for electronic inverters. This kind of systems are very suited for the use of such theory since they combine both kind of signals: continuous (voltages and currents) and discrete (on-off state of switches). Unlike previous applications of HDS to power converters, the studied problem can be considered as a tracking problem since the objective is to generate a desired ac voltage from a dc source. The effectiveness of the resultant control law is validated by means of simulations and experiments.

[1]  Ricardo G. Sanfelice,et al.  Hybrid Dynamical Systems: Modeling, Stability, and Robustness , 2012 .

[2]  Marcelo A. Pérez,et al.  Multilevel Converters: An Enabling Technology for High-Power Applications , 2009, Proceedings of the IEEE.

[3]  A. Morse,et al.  Basic problems in stability and design of switched systems , 1999 .

[4]  A. Isidori,et al.  Semiglobal nonlinear output regulation with adaptive internal model , 2000, Proceedings of the 39th IEEE Conference on Decision and Control (Cat. No.00CH37187).

[5]  B. Francis.  The linear multivariable regulator problem , 1976, 1976 IEEE Conference on Decision and Control including the 15th Symposium on Adaptive Processes.

[6]  Vivek Agarwal,et al.  A Hybrid Control Algorithm for Voltage Regulation in DC–DC Boost Converter , 2008, IEEE Transactions on Industrial Electronics.

[7]  Jorge Pontt,et al.  Direct torque control with imposed switching frequency in an 11-level cascaded inverter , 2004, IEEE Transactions on Industrial Electronics.

[8]  Luca Zaccarian,et al.  Relaxed Persistent Flow/Jump Conditions for Uniform Global Asymptotic Stability , 2014, IEEE Transactions on Automatic Control.

[9]  B. Jeune,et al.  [With the age....]. , 1999, Ugeskrift for laeger.

[10]  Ricardo G. Sanfelice,et al.  A toolbox for simulation of hybrid systems in matlab/simulink: hybrid equations (HyEQ) toolbox , 2013, HSCC '13.

[11]  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).

[12]  Grace S. Deaecto,et al.  Switched affine systems control design with application to DCߝDC converters , 2010 .

[13]  L.G. Franquelo,et al.  The age of multilevel converters arrives , 2008, IEEE Industrial Electronics Magazine.

[14]  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.

[15]  Lorenzo Marconi,et al.  Semi-global nonlinear output regulation with adaptive internal model , 2001, IEEE Trans. Autom. Control..

[16]  Matthew Senesky,et al.  Hybrid Modelling and Control of Power Electronics , 2003, HSCC.

[17]  U. Ammann,et al.  Model Predictive Control—A Simple and Powerful Method to Control Power Converters , 2009, IEEE Transactions on Industrial Electronics.