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Research Articles

Global stabilisation of nonlinear systems with unknown time-varying delay and measurement uncertainty

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Pages 2023-2031 | Received 11 Oct 2021, Accepted 16 May 2022, Published online: 27 May 2022

References

  • Chen, C. C., Qian, C., Sun, Z. Y., & Liang, Y.-W. (2018). Global output feedback stabilization of a class of nonlinear systems with unknown measurement sensitivity. IEEE Transactions on Automatic Control, 63(7), 2212–2217. https://doi.org/10.1109/TAC.9
  • Chen, X., Liu, Q., & Zhang, X. (2020). Global feedback stabilisation of lower-triangular nonlinear systems in any prescribed finite time. International Journal of Control, 94(10), 2908–2918. https://doi.org/10.1080/00207179.2020.1741687
  • Choi, H. L., & Lim, J. T. (2005). Stabilization of a class of nonlinear systems by adaptive output feedback. Automatica, 41(6), 1091–1097. https://doi.org/10.1016/j.automatica.2005.01.009
  • Hale, J. K., & Lunel, S. M. V. (1993). Introduction to functional differential equations. Springer.
  • Hua, C., Liu, P. X., & Guan, X. (2009). Backstepping control for nonlinear systems with time delays and applications to chemical reactor systems. IEEE Transactions on Industrial Electronics, 56(9), 3723–3732. https://doi.org/10.1109/TIE.2009.2025713
  • Hua, C., Ning, P., Li, K., & Guan, X. (2020). Fixed-time prescribed tracking control for stochastic nonlinear systems with unknown measurement sensitivity. IEEE Transactions on Cybernetics, 52(5), 3722–3732. https://doi.org/10.1109/TCYB.2020.3012560
  • Ibrir, S. (2011). Observer-based control of a class of time-delay nonlinear systems having triangular structure. Automatica, 47(2), 388–394. https://doi.org/10.1016/j.automatica.2010.10.052
  • Jia, X., Chen, X., Xu, S., Zhang, B., & Zhang, Z. (2017). Adaptive output feedback control of nonlinear time-delay systems with application to chemical reactor systems. IEEE Transactions on Industrial Electronics, 64(6), 4792–4799. https://doi.org/10.1109/TIE.2017.2668996
  • Jia, X., Chen, X., & Xu, S. (2017). Adaptive output feedback control of feedforward nonlinear distributed delay systems with unknown delay kernel. International Journal of Control, 90(10), 2057–2071. https://doi.org/10.1080/00207179.2016.1236215
  • Jia, X., Xu, S., Ma, Q., Li, Y., & Chu, Y. (2016). Universal adaptive control of feedforward nonlinear systems with unknown input and state delays. International Journal of Control, 89(11), 2311–2321. https://doi.org/10.1080/00207179.2016.1155753
  • Jia, X., Xu, S., Qi, Z., Zhang, Z., & Chu, Y. (2019). Adaptive output feedback tracking of nonlinear systems with uncertain nonsymmetric dead-zone input. ISA Transactions, 95, 35–44. https://doi.org/10.1016/j.isatra.2019.05.020
  • Jia, X., Xu, S., Shi, X., Lu, J., & Du, B. (2022). Adaptive output feedback control for large-scale time-delay systems with output-dependent uncertain growth rate. International Journal of Adaptive Control and Signal Processing, 36(4), 965–979. https://doi.org/10.1002/acs.v36.4
  • Koo, M. S., & Choi, H. L. (2020a). Output feedback regulation of a class of lower triangular nonlinear systems with arbitrary unknown measurement sensitivity. International Journal of Control, Automation and Systems, 18(9), 2186–2194. https://doi.org/10.1007/s12555-019-0721-1
  • Koo, M. S., & Choi, H. L. (2020b). Output feedback regulation of a class of high-order feedforward nonlinear systems with unknown time-varying delay in the input under measurement sensitivity. International Journal of Robust and Nonlinear Control, 30(12), 4744–4763. https://doi.org/10.1002/rnc.v30.12
  • Koo, M. S., Choi, H. L., & Lim, J. T. (2011). Universal control of nonlinear systems with unknown nonlinearity and growth rate by adaptive output feedback. Automatica, 47(10), 2211–2217. https://doi.org/10.1016/j.automatica.2011.07.002
  • Krishnamurthy, P., & Khorrami, F. (2004). A high-gain scaling technique for adaptive output feedback control of feedforward systems. IEEE Transactions on Automatic Control, 49(12), 2286–2292. https://doi.org/10.1109/TAC.2004.838476
  • Krstic, M., Kokotovic, P. V., & Kanellakopoulos, I. (1995). Nonlinear and adaptive control design. John Wiley & Sons, Inc.
  • Lei, H., & Lin, W. (2006). Universal adaptive control of nonlinear systems with unknown growth rate by output feedback. Automatica, 42(10), 1783–1789. https://doi.org/10.1016/j.automatica.2006.05.006
  • Li, H., Liu, Y., & Huang, Y. (2021). Event-triggered controller via adaptive output-feedback for a class of uncertain nonlinear systems. International Journal of Control, 94(9), 2575–2583. https://doi.org/10.1080/00207179.2020.1718771
  • Li, H., Zhang, X., & Chang, L. (2019). Output feedback regulation of a class of triangular structural nonlinear systems with unknown measurement sensitivity. International Journal of Systems Science, 50(13), 2486–2496. https://doi.org/10.1080/00207721.2019.1671529
  • Li, W., Yao, X., & Krstic, M. (2020). Adaptive-gain observer-based stabilization of stochastic strict-feedback systems with sensor uncertainty. Automatica, 120, 109112. https://doi.org/10.1016/j.automatica.2020.109112
  • Liu, Q., Zhu, F., Zhang, X., & Li, H. (2021). Global regulation by output feedback for feedforward systems with time delays. International Journal of Control, https://doi.org/10.1080/00207179.2021.1943760.
  • Liu, Y. G. (2008). Global stabilization by output feedback for a class of nonlinear systems with uncertain control coefficients and unmeasured states dependent growth. Science in China Series F: Information Sciences, 51(10), 1508–1520. https://doi.org/10.1007/s11432-008-0093-2
  • Mazenc, F., Praly, L., & Dayawansa, W. (1994). Global stabilization by output feedback: examples and counterexamples. Systems & Control Letters, 23(2), 119–125. https://doi.org/10.1016/0167-6911(94)90041-8
  • Praly, L., & Jiang, Z. (2004). Linear output feedback with dynamic high gain for nonlinear systems. Systems & Control Letters, 53(2), 107–116. https://doi.org/10.1016/j.sysconle.2004.02.025
  • Qian, C., & Lin, W. (2002). Output feedback control of a class of nonlinear systems: a nonseparation principle paradigm. IEEE Transactions on Automatic Control, 47(10), 1710–1715. https://doi.org/10.1109/TAC.2002.803542
  • Song, Z., & Zhai, J. (2019). Decentralized output feedback stabilization for switched stochastic high-order nonlinear systems with time-varying state/input delays. ISA Transactions, 90, 64–73. https://doi.org/10.1016/j.isatra.2018.12.044
  • Sun, Z. Y., Liu, C., Su, S. F., & Sun, W. (2021). Global finite-time stabilization for uncertain systems with unknown measurement sensitivity. IEEE Transactions on Cybernetics, https://doi.org/10.1109/TCYB.2020.3041923.
  • Sun, Z. Y., Xing, J. W., & Chen, C. C. (2020). Output feedback stabilization of time-delay nonlinear systems with unknown continuous time-varying output function and nonlinear growth rate. International Journal of Robust and Nonlinear Control, 30(6), 2579–2592. https://doi.org/10.1002/rnc.v30.6
  • Wang, P., Chai, L., Chen, C. C., & Fei, S. (2019). Global sampled-data output-feedback stabilization for nonlinear systems with unknown measurement sensitivity. International Journal of Robust and Nonlinear Control, 29(14), 4909–4927. https://doi.org/10.1002/rnc.v29.14
  • Wang, P., Zhang, K., & Xie, X. J. (2019). Global output feedback control for uncertain nonlinear feedforward systems. International Journal of Control, 92(10), 2360–2368. https://doi.org/10.1080/00207179.2018.1437281
  • Wang, W., Lin, Y., & Zhang, X. (2021). Global adaptive output feedback stabilization for nonlinear time-delay systems with unknown measurement sensitivity. International Journal of Robust and Nonlinear Control, 31(13), 6179–6192. https://doi.org/10.1002/rnc.v31.13
  • Yan, X., Liu, Y., & Zheng, W. X. (2019). Global adaptive output-feedback stabilization for a class of uncertain nonlinear systems with unknown growth rate and unknown output function. Automatica, 104, 173–181. https://doi.org/10.1016/j.automatica.2019.02.040
  • Zhai, J., & Qian, C. (2012). Global control of nonlinear systems with uncertain output function using homogeneous domination approach. International Journal of Robust and Nonlinear Control, 22(14), 1543–1561. https://doi.org/10.1002/rnc.1765
  • Zhang, X., Baron, L., Liu, Q., & Boukas, E. (2011). Design of stabilizing controllers with a dynamic gain for feedforward nonlinear time-delay systems. IEEE Transactions on Automatic Control, 56(3), 692–697. https://doi.org/10.1109/TAC.2010.2097150
  • Zhang, X., & Lin, W. (2019). Robust output feedback control of polynomial growth nonlinear systems with measurement uncertainty. International Journal of Robust and Nonlinear Control, 29(13), 4562–4576. https://doi.org/10.1002/rnc.v29.13
  • Zhang, X., & Lin, W. (2020). Nonidentifier-based adaptive control for nonlinearly parameterized systems with measurement uncertainty. International Journal of Robust and Nonlinear Control, 30(8), 3055–3072. https://doi.org/10.1002/rnc.v30.8
  • Zhang, X., Liu, L., Feng, G., & Zhang, C. (2013). Output feedback control of large-scale nonlinear time-delay systems in lower triangular form. Automatica, 49(11), 3476–3483. https://doi.org/10.1016/j.automatica.2013.08.026

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