Time bound online uncertainty estimation based adaptive control design for DC-DC buck converters with experimental validation

Abstract In this paper, an adaptive controller is proposed for DC–DC buck converters featuring prescribed time bound estimation of unknown system uncertainties and exogenous disturbances followed by nominal output performance recovery. The objective of the proposed control is to attain a robust output voltage tracking in buck converter in presence of parametric, non-parametric, matched and mismatched perturbations across wide operating range. Different from neural network estimators and characterizing substantially low computational complexity, an online estimator is presented to reconstruct the incurred uncertainty. The estimated additive uncertainty is thereafter fed to the nominal backstepping controller for subsequent compensation in finite time. Exact recovery of nominal output voltage tracking is claimed in a piecewise sense owing to the accuracy and precise estimation of the unknown unparametrized lumped uncertainty manifested in the form of large sudden variations in load and input voltage. Rigorous performance and stability analysis of the online estimator, along with similar analysis of the overall tracking control system are undertaken. Extensive numerical study is carried out to investigate the performance of the proposed control scheme. Further, experimentation of the proposed controller on a dc–dc buck converter using control desk DS1103 with an embedded TMS320F240 processor has been performed. The obtained experimental results demonstrate a good agreement with the simulation findings.

[1]  Mohammad Faridun Naim Tajuddin,et al.  Small-signal AC modeling technique of Buck converter with DSP based Proportional-Integral-Derivative (PID) controller , 2009, 2009 IEEE Symposium on Industrial Electronics & Applications.

[2]  Wei Qiao,et al.  An Interconnection and Damping Assignment Passivity-Based Controller for a DC–DC Boost Converter With a Constant Power Load , 2014 .

[3]  Kok Lay Teo,et al.  Optimal PWM Control of Switched-Capacitor DC–DC Power Converters via Model Transformation and Enhancing Control Techniques , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

[4]  Laxmidhar Behera,et al.  Direct adaptive neural control for affine nonlinear systems , 2009, Appl. Soft Comput..

[5]  P.V. Kokotovic,et al.  The joy of feedback: nonlinear and adaptive , 1992, IEEE Control Systems.

[6]  Ali Davoudi,et al.  Numerical state-space average-value modeling of PWM DC-DC converters operating in DCM and CCM , 2006, IEEE Transactions on Power Electronics.

[7]  Jiann-Jong Chen,et al.  A Low-EMI Buck Converter Suitable for Wireless Sensor Networks With Spur-Reduction Techniques , 2016, IEEE Sensors Journal.

[8]  Miroslav Krstic,et al.  Nonlinear and adaptive control de-sign , 1995 .

[9]  John Y. Hung,et al.  Design of a fuzzy controller using variable structure approach for application to DC–DC converters , 2012 .

[10]  Tousif Khan Nizami,et al.  An intelligent adaptive control of DC-DC buck converters , 2016, J. Frankl. Inst..

[11]  Jianping Xu,et al.  Improved digital peak current predictive control for switching DC-DC converters , 2011 .

[12]  Bao-Zhu Guo,et al.  On the convergence of an extended state observer for nonlinear systems with uncertainty , 2011, Syst. Control. Lett..

[13]  Marian K. Kazimierczuk,et al.  Small-signal modeling of PWM dual-SEPIC dc-dc converter by circuit averaging technique , 2016, IECON 2016 - 42nd Annual Conference of the IEEE Industrial Electronics Society.

[14]  Wei Wang,et al.  Adaptive actuator failure compensation control of uncertain nonlinear systems with guaranteed transient performance , 2010, Autom..

[15]  Laxmidhar Behera,et al.  Intelligent Systems and Control Principles and Applications , 2010 .

[16]  Wei Qiao,et al.  A Sliding-Mode Duty-Ratio Controller for DC/DC Buck Converters With Constant Power Loads , 2014, IEEE Transactions on Industry Applications.

[17]  Yu Wang,et al.  A Semi-Consensus Strategy Toward Multi-Functional Hybrid Energy Storage System in DC Microgrids , 2020, IEEE Transactions on Energy Conversion.

[18]  Xuemei Ren,et al.  Identifier-based adaptive neural dynamic surface control for uncertain DC–DC buck converter system with input constraint , 2012 .

[19]  Kosta Boshnakov,et al.  Adaptive backstepping based terminal sliding mode control for DC-DC convertor , 2010, 2010 International Conference on Computer Application and System Modeling (ICCASM 2010).

[20]  Marian K. Kazimierczuk,et al.  Pulse-Width Modulated DC-DC Power Converters , 2008 .

[21]  Hassan K. Khalil,et al.  Error bounds in differentiation of noisy signals by high-gain observers , 2008, Syst. Control. Lett..

[22]  Vadim I. Utkin,et al.  Sliding mode control of DC/DC converters , 2013, J. Frankl. Inst..

[23]  Aleksej F. Filippov,et al.  Differential Equations with Discontinuous Righthand Sides , 1988, Mathematics and Its Applications.

[24]  Dennis S. Bernstein,et al.  Geometric homogeneity with applications to finite-time stability , 2005, Math. Control. Signals Syst..

[25]  Jaime A. Moreno,et al.  Strict Lyapunov Functions for the Super-Twisting Algorithm , 2012, IEEE Transactions on Automatic Control.

[26]  Philip K. T. Mok,et al.  Design and Implementation of Fully Integrated Digitally Controlled Current-Mode Buck Converter , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[27]  Ali Davoudi,et al.  Simple method of including conduction losses for average modelling of switched-inductor cells , 2006 .

[28]  Wen-Hua Chen,et al.  Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach , 2005 .

[29]  Arghya Chakravarty,et al.  Actuator fault‐tolerant control (FTC) design with post‐fault transient improvement for application to aircraft control , 2016 .

[30]  Isabelle Queinnec,et al.  LMI robust control design for boost PWM converters , 2010 .

[31]  Ali Davoudi,et al.  Averaged modelling of switched-inductor cells considering conduction losses in discontinuous mode , 2007 .

[32]  VaraPrasad Arikatla,et al.  Adaptive digital proportional-integral-derivative controller for power converters , 2012 .

[33]  Hasan Komurcugil,et al.  Non-singular terminal sliding-mode control of DC–DC buck converters , 2013 .

[34]  Dragan Maksimovic,et al.  Second-Order Sliding-Mode Controlled Synchronous Buck DC–DC Converter , 2016, IEEE Transactions on Power Electronics.

[35]  Bao-Zhu Guo,et al.  On convergence of nonlinear active disturbance rejection control for MIMO systems , 2012, Proceedings of the 31st Chinese Control Conference.

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

[37]  Shihua Li,et al.  Extended state observer-based sliding mode control for PWM-based DC–DC buck power converter systems with mismatched disturbances , 2015 .

[38]  Abhisek Ukil,et al.  Consensus-Based Control of Hybrid Energy Storage System With a Cascaded Multiport Converter in DC Microgrids , 2020, IEEE Transactions on Sustainable Energy.

[39]  Hasan Komurcugil,et al.  Adaptive terminal sliding-mode control strategy for DC-DC buck converters. , 2012, ISA transactions.

[40]  Yuri B. Shtessel,et al.  Smooth second-order sliding modes: Missile guidance application , 2007, Autom..

[41]  V. T. Sreedevi,et al.  Boost Converter Controller Design Using Queen-Bee-Assisted GA , 2009, IEEE Transactions on Industrial Electronics.