526
Views
0
CrossRef citations to date
0
Altmetric
Research Articles

Sliding mode control with extended state observer for a class of nonlinear uncertain systems

ORCID Icon, ORCID Icon & ORCID Icon
Pages 1116-1132 | Received 18 Apr 2021, Accepted 15 Jan 2022, Published online: 21 Feb 2022

References

  • Alonge, F., Cirrincione, M., D'Ippolito, F., Pucci, M., & Sferlazza, A. (2017). Robust active disturbance rejection control of induction motor systems based on additional sliding-mode component. IEEE Transactions on Industrial Electronics, 64(7), 5608–5621. https://doi.org/10.1109/TIE.2017.2677298
  • Alsmadi, Y. M., Utkin, V., Haj-ahmed, M. A., & Xu, L. (2018). Sliding mode control of power converters: DC/DC converters. International Journal of Control, 91(11), 2472–2493. https://doi.org/10.1080/00207179.2017.1306112
  • Apaza Perez, W. A., Moreno, J. A., & Fridman, L. (2020). Global sliding mode observers for some uncertain mechanical systems. IEEE Transactions on Automatic Control, 65(3), 1348–1355. https://doi.org/10.1109/TAC.2019.2931462
  • Chang, Y. (2017). Adaptive H2/ H∞ tracking control for a class of uncertain robotic systems. International Journal of Control, 90(3), 463–479. https://doi.org/10.1080/00207179.2016.1183825
  • Chen, W. (2004). Disturbance observer based control for nonlinear systems. IEEE/ASME Transactions on Mechatronics, 9(4), 706–710. https://doi.org/10.1109/TMECH.2004.839034
  • Chen, W., Yang, J., Guo, L., & Li, S. (2016). Disturbance-observer-based control and related methods–an overview. IEEE Transactions on Industrial Electronics, 63(2), 1083–1095. https://doi.org/10.1109/TIE.2015.2478397
  • Edwards, C., & Spurgeon, S. (1998). Sliding mode control: Theory and applications. Crc Press.
  • Feng, Y., Han, F., & Yu, X. (2014). Chattering free full-order sliding-mode control. Automatica, 50(4), 1310–1314. https://doi.org/10.1016/j.automatica.2014.01.004
  • Ferrara, A., & Incremona, G. P. (2015). Design of an integral suboptimal second-order sliding mode controller for the robust motion control of robot manipulators. IEEE Transactions on Control Systems Technology, 23(6), 2316–2325. https://doi.org/10.1109/TCST.2015.2420624
  • Gao, Z. (2003). Scaling and bandwidth-parameterization based controller tuning. In 2003 American control conference (pp. 4989-4996). IEEE. https://doi.org/10.1109/ACC.2003.1242516
  • Gao, Z. (2006). Active disturbance rejection control: A paradigm shift in feedback control system design. In 2006 American control conference (pp. 2399–2405). IEEE.
  • Godbole, A. A., Kolhe, J. P., & Talole, S. E. (2013). Performance analysis of generalized extended state observer in tackling sinusoidal disturbances. IEEE Transactions on Control Systems Technology, 21(6), 2212–2223. https://doi.org/10.1109/TCST.2012.2231512
  • Guo, B., & Zhao, Z. (2011). On the convergence of an extended state observer for nonlinear systems with uncertainty. Systems & Control Letters, 60(6), 420–430. https://doi.org/10.1016/j.sysconle.2011.03.008
  • Han, J. (1995). The “Extended state observer” of a class of uncertain systems. Control and Decision, 10(1), 85–88. https://doi.org/10.13195/j.cd.1995.01.85.hanjq.020
  • Han, J. (2009). From PID to active disturbance rejection control. IEEE Transactions on Industrial Electronics, 56(3), 900–906. https://doi.org/10.1109/TIE.2008.2011621
  • Hendel, R., Khaber, F., & Essounbouli, N. (2021). Adaptive high order sliding mode controller/observer based terminal sliding mode for MIMO uncertain nonlinear system. International Journal of Control, 94(2), 486–506. https://doi.org/10.1080/00207179.2019.1598580
  • Hu, H., Pan, P., Song, Y., & He, Z. (2020). A novel controlled frequency band impedance measurement approach for single-phase railway traction power system. IEEE Transactions on Industrial Electronics, 67(1), 244–253. https://doi.org/10.1109/TIE.41
  • Huang, Y., & Su, J. (2019). Visual servoing of nonholonomic mobile robots: A review and a novel perspective. IEEE Access, 7, 134968–134977. https://doi.org/10.1109/ACCESS.2019.2941962
  • Huang, Y., & Xue, W. (2014). Active disturbance rejection control: Methodology and theoretical analysis. ISA Transactions, 53(4), 963–976. https://doi.org/10.1016/j.isatra.2014.03.003
  • Hung, J. Y., Gao, W., & Hung, J. C. (1993). Variable structure control: A survey. IEEE Transactions on Industrial Electronics, 40(1), 2–22. https://doi.org/10.1109/41.184817
  • Incremona, G. P., Cucuzzella, M., & Ferrara, A. (2016). Adaptive suboptimal second-order sliding mode control for microgrids. International Journal of Control, 89(9), 1849–1867. https://doi.org/10.1080/00207179.2016.1138241
  • Jiang, L., & Wu, Q. (2002). Nonlinear adaptive control via sliding-mode state and perturbation observer. IEE Proceedings-Control Theory and Applications, 149(4), 269–277. https://doi.org/10.1049/ip-cta:20020470
  • Khalil, H. K. (2002). Nonlinear systems (3rd ed.). Patience Hall.
  • Khalil, H. K., & Praly, L. (2014). High-gain observers in nonlinear feedback control. International Journal of Robust and Nonlinear Control, 24(6), 993–1015. https://doi.org/10.1002/rnc.3051
  • Kowdiki, K. H., Barai, R. K., & Bhattacharya, S. (2019). Autonomous leader-follower formation control of non-holonomic wheeled mobile robots by incremental path planning and sliding mode augmented tracking control. International Journal of Systems, Control and Communications, 10(3), 191–217. https://doi.org/10.1504/IJSCC.2019.100530
  • Kushwaha, S. K. S., Mohanty, S. R., & Samuel, P. (2019). Robust H∞ control for stability assessment in grid-connected offshore wind and marine current hybrid system. IET Renewable Power Generation, 13(2), 318–329. https://doi.org/10.1049/rpg2.v13.2
  • Li, S., Yang, J., Chen, W., & Chen, X. (2014). Disturbance observer-based control: Methods and applications. CRC press.
  • Liu, Z., Wang, F., Zhang, Y., Chen, X., & Chen, C. P. (2015). Adaptive tracking control for a class of nonlinear systems with a fuzzy dead-zone input. IEEE Transactions on Fuzzy Systems, 23(1), 193–204. https://doi.org/10.1109/TFUZZ.91
  • Miklosovic, R., Radke, A., & Gao, Z. (2006). Discrete implementation and generalization of the extended state observer. In 2006 American control conference (pp. 2209–2214). IEEE.
  • Mobayen, S. (2016). A novel global sliding mode control based on exponential reaching law for a class of underactuated systems with external disturbances. Journal of Computational and Nonlinear Dynamics, 11(2), 021011-1–021011-9. https://doi.org/10.1115/1.4031087
  • Mobayen, S. (2018). Adaptive global terminal sliding mode control scheme with improved dynamic surface for uncertain nonlinear systems. International Journal of Control, Automation and Systems, 16(4), 1692–1700. https://doi.org/10.1007/s12555-017-0473-8
  • Mobayen, S., & Tchier, F. (2017). Composite nonlinear feedback control technique for master/slave synchronization of nonlinear systems. Nonlinear Dynamics, 87(3), 1731–1747. https://doi.org/10.1007/s11071-016-3148-8
  • Mobayen, S., & Tchier, F. (2018). Synchronization of a class of uncertain chaotic systems with Lipschitz nonlinearities using state-feedback control design: A matrix inequality approach. Asian Journal of Control, 20(1), 71–85. https://doi.org/10.1002/asjc.v20.1
  • Qi, W., Zong, G., & Karimi, H. R. (2020). Finite-time observer-based sliding mode control for quantized semi-markov switching systems with application. IEEE Transactions on Industrial Informatics, 16(2), 1259–1271. https://doi.org/10.1109/TII.9424
  • Ren, C., Li, X., Yang, X., & Ma, S. (2019). Extended state observer-based sliding mode control of an omnidirectional mobile robot with friction compensation. IEEE Transactions on Industrial Electronics, 66(12), 9480–9489. https://doi.org/10.1109/TIE.41
  • Sachan, K., & Padhi, R. (2019). Output-constrained robust adaptive control for uncertain nonlinear MIMO systems with unknown control directions. IEEE Control Systems Letters, 3(4), 823–828. https://doi.org/10.1109/LCSYS.7782633
  • Shao, X., Wang, L., Li, J., & Liu, J. (2019). High-order ESO based output feedback dynamic surface control for quadrotors under position constraints and uncertainties. Aerospace Science and Technology, 89, 288–298. https://doi.org/10.1016/j.ast.2019.04.003
  • Su, J., Qiu, W., Ma, H., & Woo, P. (2004). Calibration-free robotic eye-hand coordination based on an auto disturbance-rejection controller. IEEE Transactions on Robotics, 20(5), 899–907. https://doi.org/10.1109/TRO.2004.829458
  • Sun, W., Su, S., Wu, Y., Xia, J., & Nguyen, V. (2020). Adaptive fuzzy control with high-order barrier lyapunov functions for high-order uncertain nonlinear systems with full-state constraints. IEEE Transactions on Cybernetics, 50(8), 3424–3432. https://doi.org/10.1109/TCYB.6221036
  • Utkin, V. I. (2013). Sliding modes in control and optimization. Springer Science & Business Media.
  • Wang, Y., Feng, Y., Zhang, X., & Liang, J. (2020). A new reaching law for antidisturbance sliding-mode control of PMSM speed regulation system. IEEE Transactions on Power Electronics, 35(4), 4117–4126. https://doi.org/10.1109/TPEL.63
  • Wei, X., Wu, Z., & Karimi, H. R. (2016). Disturbance observer-based disturbance attenuation control for a class of stochastic systems. Automatica, 63, 21–25. https://doi.org/10.1016/j.automatica.2015.10.019
  • Wu, X., Zhao, Y., & Xu, K. (2021). Nonlinear disturbance observer based sliding mode control for a benchmark system with uncertain disturbances. ISA Transactions, 110, 63–70. https://doi.org/10.1016/j.isatra.2020.10.032
  • Xue, W., Chen, S., Zhao, C., Huang, Y., & Su, J. (2021). On integrating uncertainty estimator into PI control for a class of nonlinear uncertain systems. IEEE Transactions on Automatic Control, 66(7), 3409–3416. https://doi.org/10.1109/TAC.2020.3024475
  • Yi, S., & Zhai, J. (2019). Adaptive second-order fast nonsingular terminal sliding mode control for robotic manipulators. ISA Transactions, 90, 41–51. https://doi.org/10.1016/j.isatra.2018.12.046
  • Young, K. D., Utkin, V. I., & Ozguner, U. (1999). A control engineer's guide to sliding mode control. IEEE Transactions on Control Systems Technology, 7(3), 328–342. https://doi.org/10.1109/87.761053
  • Zhuo, S., Gaillard, A., Xu, L., Bai, H., Paire, D., & Gao, F. (2020). Enhanced robust control of a DC–DC converter for fuel cell application based on high-order extended state observer. IEEE Transactions on Transportation Electrification, 6(1), 278–287. https://doi.org/10.1109/TTE.6687316

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.