220
Views
5
CrossRef citations to date
0
Altmetric
Articles

Robust adaptive control for switched nonlinearly parameterised systems with dynamic uncertainties

Pages 2838-2847 | Received 08 May 2018, Accepted 14 Dec 2018, Published online: 17 Jan 2019

References

  • Astolfi, A., & Ortega, R. (2003). Immersion and invariance: A new tool for stabilization and adaptive control of nonlinear systems. IEEE Transactions on Automatic Control, 48, 590–606. doi: 10.1109/TAC.2003.809820
  • Back, J., Cheong, S. G., Shim, H., & Seo, J. H. (2007). Nonsmooth feedback stabilizer for strict-feedback nonlinear systems that may not be linearizable at the origin. Systems & Control Letters, 56, 742–752. doi: 10.1016/j.sysconle.2007.04.009
  • Bernardo, M. D., Montanaro, U., & Santini, S. (2008). Novel switching model reference adaptive control for continuous piecewise affine systems. Proceedings of the 47th IEEE conference on decision and control (pp. 1925–1930). Cancun, Mexico: IEEE.
  • Bernardo, M. D., Montanaro, U., & Santini, S. (2013). Hybrid model reference adaptive control of piecewise affine systems. IEEE Transactions on Automatic Control, 58, 304–316. doi: 10.1109/TAC.2012.2212516
  • Chiang, M. L., & Fu, L. (2009). Variable structure based switching adaptive control for a class of unknown switching linear systems. 2009 American control conference (pp. 3019–3024). Regency Riverfront, St. Louis, MO, USA: AACC.
  • Chiang, M. L., & Fu, L. (2014). Adaptive stabilization of a class of uncertain switched nonlinear systems with backstepping control. Automatica, 50, 2128–2135. doi: 10.1016/j.automatica.2014.05.029
  • Haddad, W. M., Hayakawa, T., & Chellaboina, V. (2003). Robust adaptive control for nonlinear uncertain systems. Automatica, 39, 551–556. doi: 10.1016/S0005-1098(02)00244-3
  • Han, T. T., Ge, S. S., & Lee, T. H. (2009). Adaptive neural control for a class of switched nonlinear systems. Systems & Control Letters, 58, 109–118. doi: 10.1016/j.sysconle.2008.09.002
  • Han, T. T., Ge, S. S., & Lee, T. H. (2010). Persistent dwell-time switched nonnlinear systems: Variation paradigm and gauge design. IEEE Transactions on Automatic Control, 55, 321–337. doi: 10.1109/TAC.2009.2034927
  • Hong, Y., Wang, J., & Cheng, D. (2006). Adaptive finite-time control of nonlinear systems with parametric uncertainty. IEEE Transactions on Automatic Control, 51, 858–862. doi: 10.1109/TAC.2006.875006
  • Huang, J. (2009). Hybrid-based adaptive NN backstepping control of strict-feedback systems. Automatica, 45, 1497–1503. doi: 10.1016/j.automatica.2009.02.012
  • Jiang, Z. P. (1999). A combined backstepping and small-gain approach to adaptive output feedback control. Automatica, 35, 1131–1139. doi: 10.1016/S0005-1098(99)00015-1
  • Jiang, Z. P., & Praly, L. (1998). Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties. Automatica, 34, 825–840. doi: 10.1016/S0005-1098(98)00018-1
  • Karagiannis, D., & Astolfi, A. (2008). Nonlinear adaptive control of systems in feedback form: An alternative to adaptive backstepping. Systems & Control Letters, 57, 733–739. doi: 10.1016/j.sysconle.2008.02.006
  • Khalid, R., Osamah, E., & Kamal, Y. (2005). On robust adaptive switched control. 2005 American control conference (pp. 18–23). Portland, OR, USA.
  • Krstic, M., Kanellakopoulos, I., & Kokotovic, P. (1995). Nonlinear and adaptive control design. Wiley, Interscience.
  • Li, Y., Tong, S., & Li, T. (2015). Adaptive fuzzy backstepping control design for a class of pure-feedback switched nonlinear systems. Nonlinear Analysis: Hybrid Systems, 16, 72–80. doi: 10.15388/NA.2015.1.5
  • Liberzon, D. (2003). Switching in systems and control. MA: Birkhauser.
  • Lin, W., & Qian, C. (2002). Adaptive control of nonlinearly parameterized systems: A nonsmooth feedback framework. IEEE Transactions on Automatic Control, 47, 757–774. doi: 10.1109/TAC.2002.1000270
  • Long, L., Wang, Z., & Zhao, J. (2015). Switched adaptive control of switched nonlinearly parameterized systems with unstable subsystems. Automatica, 54, 217–228. doi: 10.1016/j.automatica.2015.02.004
  • Long, L., & Zhao, J. (2013). Output-feedback stabilisation for a class of switched nonlinear systems with unknown control coefficients. International Journal of Control, 86, 386–395. doi: 10.1080/00207179.2012.733414
  • Long, L., & Zhao, J. (2015). Adaptive output-feedback neural control of switched uncertain nonlinear systems with average dwell time. IEEE Transactions on Neural Networks and Learning Systems, 26, 1350–1362. doi: 10.1109/TNNLS.2014.2341242
  • Niu, B., Karimi, H. R., Wang, H., & Liu, Y. (2017). Adaptive output-feedback controller design for switched nonlinear stochastic systems with a modified average dwell-time method. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47, 1371–1382. doi: 10.1109/TSMC.2016.2597305
  • Sang, Q., & Tao, G. (2012). Adaptive control of piecewise linear systems: The state tracking case. IEEE Transactions on Automatic Control, 57, 522–528. doi: 10.1109/TAC.2011.2164738
  • Spooner, J. T., & Passino, K. M. (1999). Decentralized adaptive control of nonlinear systems using radial basis neural networks. IEEE Transactions on Automatic Control, 44, 2050–2057. doi: 10.1109/9.802914
  • Tamba, T. A., & Leksono, E. (2010). Adaptive backstepping for stabilization of switched nonlinear systems. Proceedings of the 49th IEEE conference on decision & control (pp. 1293–1297). Hilton Atlanta Hotel, Atlanta, GA, USA 2010.
  • Tao, G. (2003). Adaptive control design and analysis. New York: Wiley.
  • Tong, S. C., Zhang, L., & Li, Y. (2016). Observed-based adaptive fuzzy decentralized tracking control for switched uncertain nonlinear largescale systems with dead zones. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 46, 37–47. doi: 10.1109/TSMC.2015.2426131
  • Wu, J., & Tao, G. (2009). Stabilizing controllers design for switched nonlinear systems in strict-feedback form. Automatica, 45, 1092–1096. doi: 10.1016/j.automatica.2008.12.004
  • Zhao, X., Zheng, X., Niu, B., & Liu, L. (2015). Adaptive tracking control for a class of uncertain switched nonlinear systems. Automatica, 52, 185–191. doi: 10.1016/j.automatica.2014.11.019

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.