248
Views
6
CrossRef citations to date
0
Altmetric
Articles

Global practical stabilisation of a class of switched nonlinear systems via sampled-data control

, &
Pages 1891-1906 | Received 09 Jan 2018, Accepted 10 Oct 2018, Published online: 01 Nov 2018

References

  • Apostol, T. (1974). Mathematical analysis. Boston: Addison-Wesley.
  • Cai, M., Xiang, Z., & Guo, J. (2016). Adaptive finite-time control for a class of switched nonlinear systems using multiple Lyapunov functions. International Journal of Systems Science, 48(2), 324–336. doi: 10.1080/00207721.2016.1181223
  • Chiang, M. L., & Fu, L. C. (2014). Adaptive stabilization of a class of uncertain switched nonlinear systems with backstepping control. Automatica, 50(8), 2128–2135. doi: 10.1016/j.automatica.2014.05.029
  • Chu, H., Qian, C., Liu, R., & Li, S. (2015). Global practical tracking for a class of nonlinear systems via linear sampled-data control. International Jornal of Control, 88(9), 2667–2672.
  • Du, H., Cheng, Y., He, Y., & Jia, R. (2014). Finite-time output feedback control for a class of second-order nonlinear systems with application to DC-DC buck converters. Nonlinear Dynamics, 78(3), 2021–2030. doi: 10.1007/s11071-014-1593-9
  • Du, H., Qian, C., He, Y., & Cheng, Y. (2013). Global sampled-data output feedback stabilisation of a class of uppertriangular systems with input delay. IET Control Theory and Applications, 7(10), 1437–1446. doi: 10.1049/iet-cta.2012.0847
  • Fu, J., Ma, R., & Chai, T. (2015). Global finite-time stabilization of a class of switched nonlinear systems with the powers of positive odd rational numbers. Automatica, 54, 360–373. doi: 10.1016/j.automatica.2015.02.023
  • Hardy, G. H., Littlewood, J. E., & Pslya, G. (1952). Inequalities. Cambridge, UK: Cambridge University Press.
  • He, W., Zhang, S., & Ge, S. S. (2014a). Robust adaptive control of a thruster assisted position mooring system. Automatica, 50(7), 1843–1851. doi: 10.1016/j.automatica.2014.04.023
  • He, W., Zhang, S., & Ge, S. S. (2014b). Adaptive control of a flexible crane system with the boundary output constraint. IEEE Transactions on Industrial Electronics, 61(8), 4126–4133. doi: 10.1109/TIE.2013.2288200
  • Hou, M., Fu, F., & Duan, G. (2013). Global stabilization of switched stochastic nonlinear systems in strict-feedback form under arbitrary switchings. Automatica, 49, 2571–2575. doi: 10.1016/j.automatica.2013.04.031
  • Huang, S., & Xiang, Z. (2016). Finite-time stabilization of a class of switched stochastic nonlinear systems under arbitrary switching. International Journal of Robust and Nonlinear Control, 26(10), 2136–2152. doi: 10.1002/rnc.3398
  • Huang, S., & Xiang, Z. (2017). Finite-time output tracking for a class of switched nonlinear systems. International Journal of Robust and Nonlinear Control, 27(6), 1017–1038. doi: 10.1002/rnc.3616
  • Ishijima, S., & Kojima, A. (1993). Practical stabilization of the variable length pendulum by irreducible virtual decomposition. Proceedings of the 12th international federation of automatic control (IFAC) world congress, Sydney, Australia (Vol. 26(2), p. 121–124).
  • Jiang, Z. P., & Praly, L. (1998). Design of robust adaptive controllers for nonlinear systems with dynamic uncertainties. Automatica, 34(7), 825–840. doi: 10.1016/S0005-1098(98)00018-1
  • Jiang, B., Shen, Q., & Shi, P. (2015). Neural-networked adaptive tracking control for switched nonlinear pure-feedback systems under arbitrary switching. Automatica, 61, 119–125. doi: 10.1016/j.automatica.2015.08.001
  • Kim, D., Lee, H., Kim, M., Lee, S., & Kim, T. (2012). Robust sampled-data fuzzy control of nonlinear systems with parametric uncertainties: Its application to depth control of autonomous underwater vehicles. International Journal of Control, Automation and Systems, 10(6), 1164–1172. doi: 10.1007/s12555-012-0611-2
  • Korobov, V. I., & Pavlichkov, S. S. (2008). Global properties of the triangular systems in the singular case. Journal of Mathematical Analysis and Applications, 342(2), 1426–1439. doi: 10.1016/j.jmaa.2007.12.070
  • Kwan, C., Lweis, F. L., & Dawson, D. M. (1998). Robust neural-network control of rigid-link electrically driven robots. IEEE Transactions on Neural Networks, 9(4), 581–588. doi: 10.1109/72.701172
  • Li, Y., Sui, S., & Tong, S. (2017). Adaptive fuzzy control design for stochastic nonlinear switched systems with arbitrary switchings and unmodeled dynamics. IEEE Transactions on Cybernetics, 47(2), 403–414.
  • Li, Y., & Tong, S. (2017a). Fuzzy adaptive control design strategy of nonlinear switched large-scale systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems. doi:10.1109/TSMC.2017.2703127
  • Li, Y., & Tong, S. (2017b). Adaptive fuzzy output-feedback stabilization control for a class of switched nonstrict-feedback nonlinear systems. IEEE Transactions on Cybernetics, 47(4), 1007–1016. doi: 10.1109/TCYB.2016.2536628
  • Li, Y., Tong, S., Liu, L., & Feng, G. (2017). Adaptive output-feedback control design with prescribed performance for switched nonlinear systems. Automatica, 80, 225–231. doi: 10.1016/j.automatica.2017.02.005
  • Li, Y. X., & Yang, G. H. (2016). Robust adaptive fuzzy control of a class of uncertain switched nonlinear systems with mismatched uncertainties. Information Sciences, 339, 290–309. doi: 10.1016/j.ins.2016.01.024
  • Lin, X., Chen, C., & Qian, C. (2017). Smooth output feedback stabilization of a class of planar switched nonlinear systems under arbitrary switchings. Automatica, 82, 314–318. doi: 10.1016/j.automatica.2017.03.020
  • Lin, W., Wei, W., & Ye, G. (2016). Global stabilization of a class of nonminimum-phase nonlinear systems by sampled-data output feedback. IEEE Transactions on Automatic Control, 61(10), 3076–3082. doi: 10.1109/TAC.2015.2498703
  • Liu, W., Lim, C. C., Shi, P., & Xu, S. (2016). Sampled-data fuzzy control for a class of nonlinear systems with missing data and disturbances. Fuzzy Sets and Systems, 306, 63–86. doi: 10.1016/j.fss.2016.03.011
  • Liu, Y., & Tong, S. (2017). Barrier Lyapunov functions for Nussbaum gain adaptive control of full state constrained nonlinear systems. Automatica, 76, 143–152. doi: 10.1016/j.automatica.2016.10.011
  • Liu, Z., Wang, L., Wang, J., Dong, D., & Hu, X. (2017). Distributed sampled-data control of nonholonomic multi-robot systems with proximity networks. Automatica, 77, 170–179. doi: 10.1016/j.automatica.2016.11.027
  • Liu, L., Zhao, X., Niu, B., Wang, H., & Xie, X. (2015). Global output-feedback stabilisation of switched stochastic nonlinear time-delay systems under arbitrary switchings. IET Control Theory and Applications, 9(2), 283–292. doi: 10.1049/iet-cta.2014.0306
  • 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. (2016). Adaptive control for a class of high-order switched nonlinearly parameterized systems. International Journal of Robust and Nonlinear Control, 27(4), 547–565. doi: 10.1002/rnc.3585
  • Ma, J., Ni, S., Jie, W., & Dong, W. (2015). Deterministic sampling strong tracking filtering algorithms: Fast detection and isolation for aircraft actuator fault. Control Theory and Applications, 32(6), 734–743.
  • Nětsić, D., Teel, A., & Kokotovisć, P. (1999). Suncient conditions for stabilization of sampled-data nonlinear systems via discrete-time approximations. Systems and Control Letters, 38, 259–270. doi: 10.1016/S0167-6911(99)00073-0
  • Qian, C., Du, H., & Li, S. (2016). Global stabilization via sampled-data output feedback for a class of linearly uncontrollable and unobservable systems. IEEE Transactions on Automatic Control, 61(12), 4088–4093. doi: 10.1109/TAC.2016.2542238
  • Shen, B., Wang, Z., & Huang, T. (2016). Stabilization for sampled-data systems under noisy sampling interval. Automatica, 63, 162–166. doi: 10.1016/j.automatica.2015.10.005
  • Shen, Y., Zhang, D., & Xia, X. (2016). Continuous output feedback stabilization for nonlinear systems based on sampled and delayed output measurements. International Journal of Robust and Nonlinear Control, 26(14), 3075–3087. doi: 10.1002/rnc.3491
  • Shen, Y., Zhang, D., & Xia, X. (2017). Continuous observer design for a class of multi-output nonlinear systems with multi-rate sampled and delayed output measurements. Automatica, 75, 127–132. doi: 10.1016/j.automatica.2016.09.028
  • Tong, S., & Li, Y. (2017). Adaptive fuzzy output feedback control for switched nonlinear systems with unmodeled dynamics. IEEE Transactions on Cybernetics, 47(2), 295–305.
  • Tong, S., Sui, S., & Li, Y. (2014). Adaptive fuzzy decentralized tracking fault-tolerant control for stochastic nonlinear large-scale systems with unmodeled dynamics. Information Sciences, 289, 225–240. doi: 10.1016/j.ins.2014.06.042
  • Tong, S., Zhang, L., & Li, Y. (2016). Observed-based adaptive fuzzy decentralized tracking control for switched uncertain nonlinear large-scale systems with dead zones. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 46(1), 37–47. doi: 10.1109/TSMC.2015.2426131
  • Wang, J., Li, S., Yang, J., Wu, B., & Li, Q. (2015). Extended state observer-based sliding mode control for PWM-based DC-DC buck power converter systems with mismatched disturbances. IET Control Theory and Applications, 9(4), 579–586. doi: 10.1049/iet-cta.2014.0220
  • Wang, Z., Zhai, J., Ai, W., & Fei, S. (2015). Global practical tracking for a class of uncertain nonlinear systems via sampled-data control. Applied Mathematics and Computation, 260, 257–268. doi: 10.1016/j.amc.2015.03.074
  • Wang, Z., Zhai, J., & Fei, S. (2014). Global sampled-data output feedback control for a class of feedforward nonlinear systems. Control Theory and Technology, 12(2), 147–153. doi: 10.1007/s11768-014-0160-8
  • Wang, F., Zhang, X., Chen, B., Lin, C., Li, X., & Zhang, J. (2017). Adaptive finite-time tracking control of switched nonlinear systems. Information Sciences, 421, 126–135. doi: 10.1016/j.ins.2017.08.095
  • Wang, H., & Zhu, Q. (2015). Finite-time stabilization of high-order stochastic nonlinear systems in strict-feedback form. Automatica, 54, 284–291. doi: 10.1016/j.automatica.2015.02.016
  • Wu, B., & Ding, Z. (2011). Sampled-data adaptive control of a class of nonlinear systems. International Journal of Adaptive Control and Signal Processing, 25(12), 1050–1060. doi: 10.1002/acs.1262
  • Zhai, D., Xi, C., An, L., Dong, J., & Zhang, Q. (2017). Prescribed performance switched adaptive dynamic surface control of switched nonlinear systems with average dwell time. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47(7), 1257–1269. doi: 10.1109/TSMC.2016.2571338
  • Zhang, C., Qian, C., Li, S., & Du, H. (2015). Global robust stabilization via sampled-data output feedback for nonlinear systems with uncertain measurement and control gains. Asian Journal of Control, 17(3), 868–878. doi: 10.1002/asjc.936
  • Zhang, D., & Shen, Y. (2017). Global output feedback sampled-data stabilization for upper-triangular nonlinear systems with improved maximum allowable transmission delay. International Journal of Robust and Nonlinear Control, 27(2), 212–235. doi: 10.1002/rnc.3568
  • Zhang, J., Xin, X., & Xu, H. (2013). Sampled-data output feedback control of a class of uncertain nonlinear systems. International Journal of Control, Automation, and Systems, 11(1), 175–181. doi: 10.1007/s12555-012-0133-y
  • Zhang, C., & Yang, J. (2017). Semi-global sampled-data output feedback disturbance rejection control for a class of uncertain nonlinear systems. International Journal of Systems Science, 48(4), 757–768. doi: 10.1080/00207721.2016.1212434
  • 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.