DC motor speed control via buck-boost converter through a state dependent limited frequency switching rule

In this paper, a state dependent switching function with limited switching frequency is applied and experimentally validated in the context of speed control of a DC motor driven by a buck-boost power converter. The combination DC-motor/Buck-boost converter, very useful in practical applications, is modeled as a discrete-time switched affine system. The switching rule is based on the adoption of a general quadratic Lyapunov function whose time variation is bounded above by a concave-convex function with center determined by minimax theory and assures that the state trajectories converge to an invariant set of minimum volume containing the desired equilibrium. Experimental and simulated results are presented and discussed.

[1]  P. Bolzern,et al.  Quadratic stabilization of a switched affine system about a nonequilibrium point , 2004, Proceedings of the 2004 American Control Conference.

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

[3]  H. Sira-Ramirez,et al.  Robust Passivity-Based Control of a Buck–Boost-Converter/DC-Motor System: An Active Disturbance Rejection Approach , 2012, IEEE Transactions on Industry Applications.

[4]  Changliang Xia,et al.  A Novel Method of Reducing Commutation Torque Ripple for Brushless DC Motor Based on Cuk Converter , 2017, IEEE Transactions on Power Electronics.

[5]  Alexandre Trofino,et al.  Switching rule design for affine switched systems using a max-type composition rule , 2014, Syst. Control. Lett..

[6]  Alexandre Trofino,et al.  Switching rule design for inverter-fed induction motors , 2013, 52nd IEEE Conference on Decision and Control.

[7]  J. Deutscher,et al.  Nonlinear tracking control of a dc motor via a boost-converter using linear dynamic output feedback , 2006, Proceedings of the 45th IEEE Conference on Decision and Control.

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

[9]  Emilia Fridman,et al.  Robust Sampled – Data Control of Switched Affine Systems , 2013, IEEE Transactions on Automatic Control.

[10]  E. Yaz Linear Matrix Inequalities In System And Control Theory , 1998, Proceedings of the IEEE.

[11]  Grace S. Deaecto,et al.  Analysis and control of DC-DC converters based on Lyapunov Stability Theory , 2009, 2009 IEEE Energy Conversion Congress and Exposition.

[12]  Marcelo C. M. Teixeira,et al.  Variable-Structure Control Design of Switched Systems With an Application to a DC–DC Power Converter , 2009, IEEE Transactions on Industrial Electronics.

[13]  Philip Wolfe,et al.  An algorithm for quadratic programming , 1956 .

[14]  Pierre Riedinger,et al.  Switched Affine Systems Using Sampled-Data Controllers: Robust and Guaranteed Stabilization , 2011, IEEE Transactions on Automatic Control.

[15]  Johann Reger,et al.  Load Torque Estimation and Passivity-Based Control of a Boost-Converter/DC-Motor Combination , 2010, IEEE Transactions on Control Systems Technology.

[16]  Saul Gonzalez Castillo,et al.  Design of a nonlinear control and dc-dc converter applied to Electric Vehicles , 2010, 12th IEEE International Power Electronics Congress.

[17]  Grace S. Deaecto,et al.  Reply to: Comments on ‘State feedback H ∞ control design of continuous-time switched affine systems’ , 2017 .

[18]  Sergey Edward Lyshevski,et al.  Electromechanical Systems, Electric Machines, and Applied Mechatronics , 2018 .

[19]  Grace S. Deaecto,et al.  Stability Analysis and Control Design of Discrete-Time Switched Affine Systems , 2017, IEEE Transactions on Automatic Control.

[20]  Hebertt Sira-Ramirez,et al.  On the Robust Control of Buck-Converter DC-Motor Combinations , 2013, IEEE Transactions on Power Electronics.

[21]  Guisheng Zhai,et al.  Practical stability and stabilization of hybrid and switched systems , 2004, IEEE Trans. Autom. Control..

[22]  Hamid Gualous,et al.  Design and New Control of DC/DC Converters to Share Energy Between Supercapacitors and Batteries in Hybrid Vehicles , 2008, IEEE Transactions on Vehicular Technology.