Abstract
This paper presents a novel sliding mode controller based on an extended state observer (ESO) in the presence of matched and mismatched disturbances for a DC–DC Buck converter. Firstly, stability of ESO is proved by introducing a proper Lyapunov function. Then, by proposing a sliding surface containing system and ESO states, a novel nonlinear controller is designed to satisfy sliding condition. The proposed controller shows a superb disturbance attenuation which guarantees finite time stability of the closed-loop system. Moreover, reaching time to the sliding surface is analysed and upper bound of this time is obtained. Finally, simulation results and comparisons with previous research works reported in the literature demonstrate superiority of the proposed method.
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References
Ginoya D, Shendge PD, Phadke SB (2014) Sliding mode control for mismatched uncertain systems using an extended disturbance observer. IEEE Trans Ind Electron 61(4):1983–1992
Yang J, Chen WH, Li V (2011) Non-linear disturbance observer-based robust control for systems with mismatched disturbances/uncertainties. IET Control Theory Appl 5(18):2053–2062
Cui V, Zhang HG, Wang YC, Zhang V (2015) Adaptive neural dynamic surface control for a class of uncertain nonlinear systems with disturbances. Neurocomputing 165:152–158
Xia YQ, Zhou N, Lu V, Li V (2015) Attitude control of multiple rigid bodies with uncertainties and disturbances. IEEE/CAA J Autom Sin 2(1):2–10
Chang V (2009) Adaptive sliding mode control of multi-input nonlinear systems with perturbations to achieve asymptotical stability. IEEE Trans Autom Control 54(12):2863–2869
Yang V, Zolotas V, Chen WH, Michail K, Li SH (2011) Robust control of nonlinear MAGLEV suspension system with mismatched uncertainties via DOBC approach. ISA Trans 50(3):389–396
Yu X, Kaynak O (2009) Sliding-mode control with soft computing: a survey. IEEE Trans Ind Electron 56(9):3275–3285
Yang J, Li SH, Su JY, Yu XH (2013) Continuous nonsingular terminal sliding mode control for systems with mismatched disturbances. Automatica 49(4):2287–2291
Li XB, Ma L, Ding SH (2015) A new second-order sliding mode control and its application to inverted pendulum. Acta Autom Sin 41(1):193–202
Bin W, Wang JJ, Wang, Li S (2014) Extended state observer based control for DC-DC buck converters subject to mismatched disturbances. In: Proceedings of the 33rd Chinese control conference, Nanjing, China, pp 8080–8085
Wang J, Li S, Yang J, Wu B, Li Q (2015) Extended state observer-based sliding mode control for PWM-based DC-DC buck power converter systems with mismatched disturbances. IET Control Theory Appl 9(4):579–586
Wang JX, Li S, Yang J, Li Q (2016) Finite-time observer based nonsingular terminal sliding mode control for PWM-based DC-DC buck converters within mismatched load disturbances. IET Power Electron 9(9):1995–2002
Yang J, Li SH, Yu XH (2013) Sliding mode control for systems with mismatched uncertainties via a disturbance observer. IEEE Trans Ind Electron 60(1):160–169
Wang Z, Li S, Wang J, Li Q (2016) Generalized proportional integral observer based backstepping control for DC-DC buck converters with mismatched disturbances. In: IEEE international conference on industrial technology (ICIT), pp 1783–1789
Choi HH (2007) LMI-based sliding surface design for integral sliding mode control of mismatched uncertain systems. IEEE Trans Autom Control 52(4):736–742
Andrade-Da Silva JM, Edwards C, Spurgeon SK (2009) Sliding-mode output-feedback control based on LMIs for plants with mismatched uncertainties. IEEE Trans Ind Electron 56(9):3675–3683
Huang YJ, Kuo TC, Chang SH (2008) Adaptive sliding mode control for nonlinear systems with uncertain parameters. IEEE Trans Syst Man Cybern B Cybern 38(2):453–539
Wen CC, Cheng CC (2008) Design of sliding surface for mismatched uncertain systems to achieve asymptotical stability. J Frankl Inst 345(8):926–941
Estrada A, Fridman L (2010) Quasi-continuous HOSM control for systems with unmatched perturbations. Automatica 46(11):1916–1919
Utkin V, Shi JX (1996) Integral sliding mode in systems operating under uncertainty conditions. In: Proceedings of the 35th conference decision and control, Kobe, Japan, pp 4591–4596
Cao WJ, Xu JX (2004) Nonlinear integral-type sliding surface for both matched and unmatched uncertain systems. IEEE Trans Autom Control 49(8):1355–1360
Back J, Shim H (2008) Adding robustness to nominal output feedback controllers for uncertain nonlinear systems: a nonlinear version of disturbance observer. Automatica 44(10):2528–2537
Guo L, Chen WH (2005) Disturbance attenuation and rejection for systems with nonlinearity via DOBC approach. Int J Robust Nonlinear Control 15(3):109–125
Zheng W, Li SH, Wang JX, Wang Z (2015) Sliding-mode control for three-phase PWM inverter via harmonic disturbance observer. In: Proceedings of the Chinese control conference, Hangzhou, China, pp 7988–7993
Wei XJ, Guo L (2009) Composite disturbance-observer based control and terminal sliding mode control for nonlinear systems with disturbances. Int J Control 82(6):1082–1098
Chen M, Chen WH (2010) Sliding mode control for a class of uncertain nonlinear system based on disturbance observer. Int J Adapt Control Signal Process 24(1):51–64
Lu YS, Chiu CW (2011) A stability-guaranteed integral sliding disturbance observer for systems suffering from disturbances with bounded first time derivatives. Int J Control Autom Syst 19(2):402–409
Adarsh P, Ginoya D, Shendge PD, Phadke SB (2016) Uncertainty-estimation-based approach to antilock braking systems. IEEE Trans Veh Technol 65(3):1171–1185
Wu SN, Sun XY, Sun ZW, Wu XD (2010) Sliding mode control for staring-mode spacecraft using a disturbance observer. Proc Inst Mech Eng G 224(2):215–224
Khalil HK (1996) Nonlinear systems, 2nd edn. Prentice-Hall, Upper Saddle River
Han JQ (1995) Extended state observer of a class of uncertain system. Control Decis 10(1):85–88 ((in Chinese))
Sanjeev KP, Patil SL, Praveen VP, Phadke SP (2020) A new controller for boost dc-dc converters based on a novel sliding surface. Int J Electron. https://doi.org/10.1080/00207217.2020.1755999
Lin H, Yin Y, Liu J, Wu L, Franquelo LG (2019) Extended state observer based second order sliding mode control strategy for DC-DC Buck. In: 22nd international conference on electrical machines and systems (ICEMS converters)
Zhuo S, Gaillard A, Xu L, Paire D, Gao F (2020) Extended state observer-based control of DC-DC converters for fuel cell application. IEEE Trans Power Electron 35(9):9925–9934
Sanjeev KP, Patil SL, Ginoya D, Uttam MC (2019) Robust control of mismatched buck DC-DC converters by PWM-based sliding mode control schemes. Control Eng Pract 84:183–193
Wang J, Rong J, Yu L (2019) Reduced-order extended state observer based event-triggered sliding mode control for DC-DC buck converter system with parameter perturbation. Asian J Control 25:1–11
Zhang L, Wang Z, Li S, Ding S, Du H (2020) Universal finite-time observer based second-order sliding mode control for DC-DC buck converters with only output voltage measurement. J Frankl Inst 357(16):11863–11879
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Ramezani-al, M.R., Emami, K. & Roozbahani, P.S. New sliding mode controller design for a DC to DC buck power converter in the presence of matched and mismatched disturbances. Int. J. Dynam. Control 10, 1208–1216 (2022). https://doi.org/10.1007/s40435-021-00873-6
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DOI: https://doi.org/10.1007/s40435-021-00873-6