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Research Articles

A new adaptive output-feedback controller against unknown control directions and intrinsic growth

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Pages 2012-2022 | Received 23 Aug 2021, Accepted 16 May 2022, Published online: 01 Jun 2022

References

  • Andrieu, V., Praly, L., & Astolfi, A. (2008). Homogeneous approximation, recursive observer design, and output feedback. SIAM Journal on Control and Optimization, 47(4), 1814–1850. https://doi.org/10.1137/060675861
  • 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
  • Filippov, A. F. (1988). Differential equations with discontinuous righthand sides. Kluwer Academic Publishers.
  • Freidovich, L. B., & Khalil, H. K. (2007). Lyapunov-based switching control of nonlinear systems using high-gain observers. Automatica, 43(1), 150–157. https://doi.org/10.1016/j.automatica.2006.08.010
  • Huang, C., & Yu, C. B. (2018). Tuning function design for nonlinear adaptive control systems with multiple unknown control directions. Automatica, 89(3), 259–265. https://doi.org/10.1016/j.automatica.2017.11.024
  • Jiang, Z. P., Mareels, I., Hill, D. J., & Huang, J. (2004). A unifying framework for global regulation via nonlinear output feedback: From ISS to IISS. IEEE Transactions on Automatic Control, 49(4), 549–562. https://doi.org/10.1109/TAC.2004.825663
  • Khalil, H. K., & Saberi, A. (1987). Adaptive stabilization of a class of nonlinear systems using high-gain feedback. IEEE Transactions on Automatic Control, 32(11), 1031–1035. https://doi.org/10.1109/TAC.1987.1104481
  • Krstić, M., Kanellakopoulos, I., & Kokotović, P. V. (1995). Nonlinear and adaptive control design. John Wiley.
  • 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
  • Lei, H., & Lin, W. (2009). Robust control of uncertain systems with polynomial nonlinearity by output feedback. International Journal of Robust Nonlinear Control, 19(6), 692–723. https://doi.org/10.1002/rnc.v19:6
  • Liu, Y. G. (2008). Global stabilization by output feedback for a class of nonlinear systems with uncertain control coefficients and unmeasured states dependent growth. Sciences in China, Series F: Information Sciences, 51(10), 1508–1520. https://doi.org/10.1007/s11432-008-0093-2
  • Liu, Y. G. (2013). Global asymptotic regulation via time-varying output feedback for a class of uncertain nonlinear systems. SIAM Journal on Control and Optimization, 51(6), 4318–4342. https://doi.org/10.1137/120862570
  • Man, Y. C., & Liu, Y. G. (2018). A powerful output-feedback control for uncertain nonlinear systems. International Journal of Robust Nonlinear Control, 28(6), 2264–2275. https://doi.org/10.1002/rnc.4014
  • Marino, R., & Tomei, P. (1993). Global adaptive output-feedback control of nonlinear systems, part I: Linear parametrization. IEEE Transactions on Automatic Control, 38(1), 17–32. https://doi.org/10.1109/9.186309
  • Miller, D. E., & Davison, E. J. (1991). An adaptive controller which provides an arbitrarily good transient and steady-state response. IEEE Transactions on Automatic Control, 36(1), 68–81. https://doi.org/10.1109/9.62269
  • Min, Y. Y., & Liu, Y. G. (2007). Barbălat Lemma and its application in analysis of system stability. Journal of Shandong University (Engineering Science), 37(1), 51–55. https://doi.org/10.3969/j.issn.1672-3961.2007.01.013
  • Praly, L., & Jiang, Z. P. (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. J. (2005). A homogeneous domination approach for global output feedback stabilization of a class of nonlinear systems. Proceedings of the 2005 american control conference (pp. 4708–4715). IEEE.
  • Qian, C. J., & 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
  • Shang, F., & Liu, Y. G. (2010). Adaptive output-feedback stabilization for a class of uncertain nonlinear systems. Acta Automatica Sinica, 36(1), 92–100. https://doi.org/10.3724/SP.J.1004.2010.00092
  • Shang, F., Liu, Y. G., & Zhang, C. H. (2011). Adaptive output feedback stabilization for a class of nonlinear systems with inherent nonlinearities and uncertainties. International Journal of Robust Nonlinear Control, 21(2), 157–176. https://doi.org/10.1002/rnc.v21.2
  • Wang, M. Q., Liu, Y. G., & Man, Y. C. (2018). Global output-feedback stabilization for nonlinear systems with unknown relative degree. International Journal of Robust Nonlinear Control, 28(4), 1425–1439. https://doi.org/10.1002/rnc.v28.4
  • Wang, P., Yu, C. P., & Sun, J. (2020). Global output feedback control for nonlinear cascade systems with unknown output functions and unknown control directions. International Journal of Robust and Nonlinear Control, 30(6), 2493–2514. https://doi.org/10.1002/rnc.v30.6
  • Yan, X. H., Liu, Y. G., & 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(7–8), 173–181. https://doi.org/10.1016/j.automatica.2019.02.040
  • Yan, X. H., Zheng, W. X., & Liu, Y. G. (2019). Adaptive output-feedback tracking for nonlinear systems with rather general control coefficients. International Journal of Robust Nonlinear Control, 29(6), 1660–1679. https://doi.org/10.1002/rnc.v29.6
  • Ye, X. D. (2001). Adaptive nonlinear output-feedback control with unknown high-frequency gain sign. IEEE Transactions on Automatic Control, 46(1), 112–115. https://doi.org/10.1109/9.898701
  • Ye, X. D. (2005). Adaptive output-feedback control of nonlinear systems with unknown nonlinearities. Automatica, 41(8), 1367–1374. https://doi.org/10.1016/j.automatica.2005.03.003
  • Zhai, J. Y., Ai, W. Q., & Fei, S. M. (2013). Global output feedback stabilisation for a class uncertain non-linear systems. IET Control Theory & Applications, 7(2), 305–313. https://doi.org/10.1049/cth2.v7.2

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