Abstract
This paper considers the regulation problem for a DC–DC buck converter nonlinear system with uncertain components and actuator and sensor failures. We establish a novel reduced-order observer to estimate the unmeasured state. Then, a new fault-tolerant sampled-data controller with an allowable sampling period is constructed to guarantee that the output voltage of the DC–DC buck converter nonlinear system can tend to the desired voltage. Finally, simulation results are presented to demonstrate the effectiveness of the proposed method.
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Qian, Z., Rahman, A., Atrash, A.: Batarseh: modeling and control of three-tort DC/DC converter interface for satellite applications. IEEE Trans. Power Electron. 25, 637–649 (2010)
Engel, S., Soltau, N., Stagge, H., De, D.: Dynamic and balanced control of three-phase high-power dual-active bridge DC–DC converters in DC-grid applications. IEEE Trans. Power Electron. 28, 1880–1889 (2013)
Camara, M., Gualous, H., Gustin, F., Berthon, A., Dakyo, B.: DC/DC converter design for supercapacitor and battery power management in hybrid vehicle applications-polynomial control strategy. IEEE Trans. Ind. Electron. 57, 587–597 (2010)
Olalla, C., Clement, D., Rodriguez, M., Maksimovic, D.: Architectures and control of submodule integrated DC–DC converters for photovoltaic applications. IEEE Trans. Power. Electron. 28, 2980–2997 (2013)
Kim, S.K., Ahn, C.K.: Self-tuning proportional-type performance recovery property output voltage-tracking controller for DC/DC boost converter. IEEE Trans. Ind. Electron. 66(4), 3167–3175 (2019)
Kim, S.K., Ahn, C.K.: Robust invariant manifold-based output voltage-tracking algorithm for DC/DC boost converter systems. IEEE Trans. Syst. Man Cybern. Syst. (2019). https://doi.org/10.1109/TSMC.2019.2899152
Kim, S.K., Ahn, C.K.: Nonlinear tracking controller for DC/DC boost converter voltage control applications via energy-shaping and invariant dynamic surface approach. IEEE Trans. Circuits Syst. II Exp. Briefs (2019). https://doi.org/10.1109/TCSII.2018.2890440
Middlebrook, R., Cuk, S.: A general unified approach to modelling switching-converter power stages. Proc. Power Electron. Spec. Conf. 1, 18–34 (1976)
Fang, C.: Instability conditions for a class of switched linear systems with switching delays based on sampled-data analysis: applications to DC-DC converters. Nonlinear Dyn. 77, 185–208 (2014)
Xu, Q., Zhang, C., Wen, C., Wang, P.: A Novel composite nonlinear controller for stabilization of constant power load in DC microgrid. IEEE Trans. Smart Grid. 10(1), 752–761 (2019)
Du, H., Cheng, Y., He, Y., Jia, R.: Finite-time output feedback control for a class of second-order nonlinear systems with application to DC–DC buck converters. Nonlinear Dyn. 78, 2021–2030 (2014)
Li, Z., Zhao, J.: Output feedback stabilization for a general class of nonlinear systems via sampled-data control. Int. J. Robust Nonlinear Control. 28, 2853–2867 (2018)
Salimi, M., Soltani, J., Markadeh, G., Abjadi, N.: Indirect output voltage regulation of DC–DC buck/boost converter operating in continuous and discontinuous conduction modes using adaptive backstepping approach. IEEE Trans. Power Electron. 6, 732–741 (2014)
Wu, H., Pickert, V., Deng, X., Giaouris, D., Li, W., He, X.: Second-order sliding-mode controlled synchronous buck DC–DC converter. IEEE Trans. Power Electron. 31, 2539–2549 (2016)
Qian, C., Du, H.: Global output feedback stabilization of a class of nonlinear systems via linear sampled-data control. IEEE Trans. Autom. Control. 57, 2934–2938 (2012)
Du, H., Qian, C., Li, S., Chu, Z.: Global sampled-data output feedback stabilization for a class of uncertain nonlinear systems. Automatic 99, 403–411 (2019)
Zhai, J., Du, H., Fei, S.: Global sampled-data output feedback stabilisation for a class of nonlinear systems with unknown output function. Int. J. Control. 89, 469–480 (2016)
Lan, Q., Li, S.: Global output-feedback stabilization for a class of stochastic nonlinear systems via sampled-data control. Int. J. Robust Nonlinear Control. 28, 3643–3658 (2018)
Du, H., Li, S., Qian, C., He, Y.: Global stabilization of a class of inherently nonlinear systems under sampled-data control. Acta Autom. Sin. 40, 379–384 (2014)
Jia, J., Chen, W., Dai, H.: Global stabilization of high-order nonlinear systems under multi-rate sampled-data control. Nonlinear Dyn. 94(4), 2441–2453 (2018)
Qian, C., Du, H., Li, S.: Global stabilization via sampled-data output feedback for a class of linearly uncontrollable and unobservable systems. IEEE Trans. Autom. Control. 61, 4088–4093 (2016)
Du, H., Qian, C., Li, S.: Global stabilization of a class of uncertain upper-triangular systems under sampled-data control. Int. J. Robust Nonlinear Control. 23, 620–637 (2013)
Zhang, C., Yang, J.: Semi-global sampled-data output feedback disturbance rejection control for a class of uncertain nonlinear systems. Int. J. Syst. Sci. 48(4), 757–768 (2017)
Zhang, C., Jia, R., Qian, C., Li, S.: Semi-global stabilization via linear sampled-data output feedback for a class of uncertain nonlinear systems. Int. J. Robust Nonlinear Control. 25(13), 2041–2061 (2015)
Chu, H., Qian, C., Liu, R., Di, L.: Global practical tracking of a class of nonlinear systems using linear sampled-data control. Int. J. Control. 88, 1851–1860 (2015)
Wang, Z., Zhai, J., Ai, W., Fei, S.: Global practical tracking for a class of uncertain nonlinear systems via sampled-data control. Appl. Math. Comput. 260, 257–268 (2015)
Lin, W., Wei, W., Ye, G.: Global stabilization of a class of nonminimum-phase nonlinear systems by sampled-data output feedback. IEEE Trans. Autom. Control. 61, 3076–3082 (2016)
Zhang, D., Shen, Y.: Global output feedback sampled-data stabilization for upper-triangular nonlinear systems with improved maximum allowable transmission delay. Int. J. Robust Nonlinear Control. 27, 212–235 (2017)
Liu, W., Lim, C., Shi, P., Xu, S.: Sampled-data fuzzy control for a class of nonlinear systems with missing data and disturbances. Fuzzy Sets Syst. 306, 63–86 (2017)
He, H., Gao, X., Qi, W.: Sampled-data control of asynchronously switched non-linear systems via T-S fuzzy model approach. IET Control Theory Appl. 11, 2817–2823 (2017)
Wang, J., Li, H., Wu, H.: Fuzzy guaranteed cost sampled-data control of nonlinear systems coupled with a scalar reaction-diffusion process. Fuzzy Sets Syst. 302, 121–142 (2016)
Ge, C., Wang, H., Liu, Y., Park, J.: Further results on stabilization of neural-network-based systems using sampled-data control. Nonlinear Dyn. 90, 2209–2219 (2017)
Huang, S., Cai, M., Xiang, Z.: Robust sampled-data H infinity control for offshore platforms subject to irregular wave forces and actuator saturation. Nonlinear Dyn. 88, 2705–2721 (2017)
Song, P., Cui, C., Bai, Y.: Robust output voltage regulation for DC–DC buck converters under load variations via sampled-data sensorless control. IEEE Access. 6, 10688–10698 (2018)
Zhang, C., Wang, J., Li, S., Wu, B., Qian, C.: Robust control for PWM-based DC–DC buck power converters with uncertainty via sampled-data output feedback. IEEE Trans. Power Electron. 30, 504–515 (2015)
Guilbert, D., Guarisco, M., Gaillard, A., N’Diaye, A., Djerdir, A.: FPGA based fault-tolerant control on an interleaved DC/DC boost converter for fuel cell electric vehicle applications. Int. J. Hydrogen Energy. 40, 15815–15822 (2015)
Hardy, G., Littlewood, J., Pslya, G.: Inequalities. Cambridge University Press, Cambridge (1952)
Apostol, T.: Mathematical Analysis, 2nd edn. Addison-Wesley, New Jersey (1974)
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The funding was provided by National Natural Science Foundation of China (Grant No. 61873128).
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Zhang, J., Li, S., Ahn, C.K. et al. Sampled-data output voltage regulation for a DC–DC buck converter nonlinear system with actuator and sensor failures. Nonlinear Dyn 99, 1243–1252 (2020). https://doi.org/10.1007/s11071-019-05350-6
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DOI: https://doi.org/10.1007/s11071-019-05350-6