On the Robust Control of Buck-Converter DC-Motor Combinations

The concepts of active disturbance rejection control and flatness-based control are used in this paper to regulate the response of a dc-to-dc buck power converter affected by unknown, exogenous, time-varying load current demands. The generalized proportional integral observer is used to estimate and cancel the time-varying disturbance signals. A key element in the proposed control for the buck converter-dc motor combination is that even if the control input gain is imprecisely known, the control strategy still provides proper regulation and tracking. The robustness of this method is further extended to the case of a double buck topology driving two different dc motors affected by different load torque disturbances. Simulation results are provided.

[1]  Nancy Visairo,et al.  A Robust Nonlinear Control Scheme for a Sag Compensator Active Multilevel Rectifier Without Sag Detection Algorithm , 2012, IEEE Transactions on Power Electronics.

[2]  Mingxing Fang,et al.  Improving Disturbance-Rejection Performance Based on an Equivalent-Input-Disturbance Approach , 2008, IEEE Transactions on Industrial Electronics.

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

[4]  Zhiqiang Gao,et al.  An alternative paradigm for control system design , 2001, Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228).

[5]  Hebertt Sira-Ramírez,et al.  Robust sigma–delta generalised proportional integral observer based control of a ‘buck’ converter with uncertain loads , 2010, Int. J. Control.

[6]  Jingqing Han,et al.  From PID to Active Disturbance Rejection Control , 2009, IEEE Trans. Ind. Electron..

[7]  Yuxin Su,et al.  Automatic disturbances rejection controller for precise motion control of permanent-magnet synchronous motors , 2005, IEEE Transactions on Industrial Electronics.

[8]  Hebertt Sira-Ramírez,et al.  An active disturbance rejection controller for a parallel Robot via Generalized Proportional Integral observers , 2012, 2012 American Control Conference (ACC).

[9]  C.D. Johnson,et al.  Real-Time Disturbance-Observers; Origin and Evolution of the Idea Part 1: The Early Years , 2008, 2008 40th Southeastern Symposium on System Theory (SSST).

[10]  M.G. Ortiz-Lopez,et al.  Average Current-Mode Control Scheme for a Quadratic Buck Converter With a Single Switch , 2008, IEEE Transactions on Power Electronics.

[11]  Abraham Pressman,et al.  Switching Power Supply Design , 1997 .

[12]  M. Fliess,et al.  Intelligent PID controllers , 2008, 2008 16th Mediterranean Conference on Control and Automation.

[13]  G. Feng,et al.  A new current mode fuzzy logic controller with extended state observer for DC-to-DC converters , 2004, Nineteenth Annual IEEE Applied Power Electronics Conference and Exposition, 2004. APEC '04..

[14]  John Cortés-Romero,et al.  Flatness-based linear output feedback control for disturbance rejection and tracking tasks on a Chua's circuit , 2012, Int. J. Control.

[15]  C. D. Johnson,et al.  Accomodation of external disturbances in linear regulator and servomechanism problems , 1971 .

[16]  M. Fliess,et al.  Commande sans modèle et commande à modèle restreint , 2008 .

[17]  Zhiqiang Gao,et al.  Active disturbance rejection control: a paradigm shift in feedback control system design , 2006, 2006 American Control Conference.

[18]  K I Hwu,et al.  Performance Enhancement of Boost Converter Based on PID Controller Plus Linear-to-Nonlinear Translator , 2010, IEEE Transactions on Power Electronics.

[19]  H. Sira-Ramirez,et al.  Linear Observer‐Based Active Disturbance Rejection Control of the Omnidirectional Mobile Robot , 2013 .

[20]  Hebertt Sira-Ramírez,et al.  On the linear control of nonlinear mechanical systems , 2010, 49th IEEE Conference on Decision and Control (CDC).

[21]  Cédric Join,et al.  Non-linear estimation is easy , 2007, Int. J. Model. Identif. Control..

[22]  M. Fliess,et al.  Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[23]  G. Ledwich,et al.  A general approach to control a Positive Buck-Boost converter to achieve robustness against input voltage fluctuations and load changes , 2008, 2008 IEEE Power Electronics Specialists Conference.

[24]  Bosheng Sun,et al.  A DSP-based active disturbance rejection control design for a 1-kW H-bridge DC-DC power converter , 2005, IEEE Transactions on Industrial Electronics.

[25]  Sunil K. Agrawal,et al.  Differentially Flat Systems , 2004 .

[26]  Wenzhong Gao,et al.  Closed-Loop Analysis and Cascade Control of a Nonminimum Phase Boost Converter , 2011, IEEE Transactions on Power Electronics.

[27]  Dong Sun,et al.  Comments on Active Disturbance Rejection Control , 2007, IEEE Trans. Ind. Electron..

[28]  M. Fliess,et al.  Nonlinear observability, identifiability, and persistent trajectories , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[29]  Zhiqiang Gao,et al.  On practical applications of active disturbance rejection control , 2010, Proceedings of the 29th Chinese Control Conference.

[30]  H. Sira-Ram,et al.  On the Linear Control of Nonlinear Mechanical Systems , 2010 .