TABLF-based adaptive control for uncertain nonlinear systems with time-varying asymmetric full-state constraints

References

• Bemporad, A. (1998). Reference governor for constrained nonlinear systems. IEEE Transactions on Automatic Control, 43(3), 415–419. doi: 10.1109/9.661611
   Web of Science ®Google Scholar
• Dehaan, D., & Guay, M. (2005). Extremum-seeking control of state-constrained nonlinear systems. Automatica, 41, 1567–1574. doi: 10.1016/j.automatica.2005.03.030
   Web of Science ®Google Scholar
• Ding, Z. T. (2001). Adaptive control of triangular systems with nonlinear parameterization. IEEE Transactions on Automatic Control, 46(12), 1963–1968. doi: 10.1109/9.975501
   Web of Science ®Google Scholar
• Do, K. D. (2010). Control of nonlinear systems with output tracking error constraints and its application to magnetic bearings. International Journal of Control, 83(6), 1199–1216. doi: 10.1080/00207171003664828
   Web of Science ®Google Scholar
• Jin, X. (2016). Adaptive fault tolerant control for a class of input and state constrained MIMO nonlinear systems. International Journal of Robust and Nonlinear Control, 26, 286–302. doi: 10.1002/rnc.3312
   Web of Science ®Google Scholar
• Kanellakopoulos, I., Kokotovic, P. V., & Morse, A. S. (1991). Systematic design of adaptive controllers for feedback linearizable systems. IEEE Transactions on Automatic Control, 36(11), 1241–1253. doi: 10.1109/9.100933
   Web of Science ®Google Scholar
• Krstic, M., & Kokotovic, P. V. (1995). Nonlinear adaptive control design. New York, NY: Wiley.
   Google Scholar
• Li, Y., Li, T., & Jing, X. (2014). Indirect adaptive fuzzy control for input and output constrained nonlinear systems using a barrier lyapunov function. International Journal of Adaptive Control & Signal Processing, 28(2), 184–199. doi: 10.1002/acs.2410
   Web of Science ®Google Scholar
• Liu, Y. J., Lu, S., Li, D., & Tong, S. C. (2017). Adaptive controller design-based ABLF for a class of nonlinear time-varying state constraint systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 47(7), 1546–1553. doi: 10.1109/TSMC.2016.2633007
   Web of Science ®Google Scholar
• Liu, D., & Michel, A. N. (1993). Dynamical systems with saturation nonlinearities. London: Springer-Verlag.
   Google Scholar
• Liu, Y. J., & Tong, S. C. (2016). Barrier Lyapunov functions-based adaptive control for a class of nonlinear pure-feedback systems with full state constraints. Automatica, 64, 70–75. doi: 10.1016/j.automatica.2015.10.034
   Web of Science ®Google Scholar
• Marino, R., & Tomei, P. (1993). Global adaptive output-feedback control of nonlinear systems. I: Linear parameterization. IEEE Transactions on Automatic Control, 38(1), 17–32. doi: 10.1109/9.186309
   Web of Science ®Google Scholar
• Mayne, D. Q., Rawlings, J. B., Rao, C. V., & Scokaert, P. O. M. (2000). Constrained model predictive control: Stability and optimality. Automatica, 36(6), 789–814. doi: 10.1016/S0005-1098(99)00214-9
   Web of Science ®Google Scholar
• Nam, K., & Arapostation, A. (1998). A model reference adaptive control scheme for pure-feedback nonlinear systems. IEEE Transactions on Automatic Control, 33(9), 803–811. doi: 10.1109/9.1308
   Web of Science ®Google Scholar
• Ngo, K. B., Mahony, R., & Jiang, Z. P. (2005). Integrator backstepping using barrier functions for systems with multiple state constraints. Proceedings of the 44th conference on decision and control (pp. 8306–8312). Seville, Spain.
   Google Scholar
• Niu, B., Liu, Y., Zong, G., Han, Z., & Fu, J. (2017). Command filter-based adaptive neural tracking controller design for uncertain switched nonlinear output-constrained systems. IEEE Transactions on Cybernetics, 47(10), 3160–3171. doi: 10.1109/TCYB.2016.2647626
   PubMed Web of Science ®Google Scholar
• Niu, B., Wang, D., Li, H., Xie, X., Alotaibi, N. D., & Alsaadi, F. E. (2017). A novel neural-network-based adaptive control scheme for output-constrained stochastic switched nonlinear systems. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 1–15. doi:10.1109/tsmc.2017.2777472
   Web of Science ®Google Scholar
• Ou, M., Li, S., & Wang, C. (2013). Finite-time tracking control for multiple nonholonomic mobile robots based on visual servoing. International Journal of Control, 86(12), 2175–2188. doi: 10.1080/00207179.2013.803157
   Web of Science ®Google Scholar
• Qiu, Y. N., Liang, X. P., & Dai, Z. Y. (2015). Backstepping dynamic surface control for a class of non-linear systems with time-varying output constraints. IET Control Theory & Applications, 9(15), 2312–2319. doi: 10.1049/iet-cta.2015.0019
   Web of Science ®Google Scholar
• Rauh, A., Senkel, L., & Aschemann, H. (2016). Interval methods for variable-structure control of dynamic systems with state constraints. Proceedings of the 3rd conference on control and fault-tolerant systems (pp. 53–85). Barcelona.
   Google Scholar
• Song, Y. D., & Zhou, S. (2018). Tracking control of uncertain nonlinear systems with deferred asymmetric time-varying full state constraints. Automatica, 98, 314–322. doi: 10.1016/j.automatica.2018.09.032
   Web of Science ®Google Scholar
• Su, C. Y., Stepanenko, Y., & Leung, T. P. (1995). Combined adaptive and variable structure control for constrained robots. Automatica, 31(3), 483–488. doi: 10.1016/0005-1098(94)00119-4
   Web of Science ®Google Scholar
• Sun, W. C., Gao, H. J., & Kaynak, O. (2015). Vibration isolation for active suspensions with performance constraints and actuator saturation. IEEE Transactions on Mechatronics, 20(2), 675–683. doi: 10.1109/TMECH.2014.2319355
   Web of Science ®Google Scholar
• Tee, K. P., & Ge, S. S. (2009). Control of nonlinear systems with full state constraint using a barrier Lyapunov function. Proceedings of the 48th conference decision and control (pp. 8618–8623). Shanghai.
   Google Scholar
• Tee, K. P., & Ge, S. S. (2012). Control of state-constrained nonlinear systems using integral barrier Lyapunov functionals. Proceedings of the 51st conference decision and control (pp. 10–13). Maui.
   Google Scholar
• Tee, K. P., Ge, S. S., & Tay, E. H. (2009). Barrier Lyapunov functions for the control of output-constrained nonlinear systems. Automatica, 45(4), 918–927. doi: 10.1016/j.automatica.2008.11.017
   Web of Science ®Google Scholar
• Wang, C. L., & Lin, Y. (2012). Multivariable adaptive backstepping control: a norm estimation approach. IEEE Transactions on Automatic Control, 57(4), 989–995. doi: 10.1109/TAC.2011.2167815
   Web of Science ®Google Scholar
• Wang, C. X., & Wu, Y. Q. (2019). Finite-time tracking control for strict-feedback nonlinear systems with full state constraints. International Journal of Control, 92(6), 1426–1433. doi: 10.1080/00207179.2017.1397290
   Web of Science ®Google Scholar
• Wang, C. X., Wu, Y. Q., & Yu, J. B. (2017). Barrier Lyapunov functions-based dynamic surface control for pure-feedback systems with full state constraints. IET Control Theory & Applications, 11(4), 524–530. doi: 10.1049/iet-cta.2016.0333
   Web of Science ®Google Scholar
• Wu, Y. Q., Gao, F. Z., & Zhang, Z. C. (2016). Saturated finite-time stabilization of uncertain nonholonomic systems in feedforward-like form and its application. Nonlinear Dynamics, 84(3), 1–14. doi: 10.1007/s11071-015-2591-2
   Web of Science ®Google Scholar
• Wu, Y. Q., Wang, B., & Zong, G. D. (2005). Finite-time tracking controller design for nonholonomic systems with extended chained form. IEEE Transactions on Circuits and Systems II: Express Briefs, 52(11), 798–802. doi: 10.1109/TCSII.2005.852528
   Web of Science ®Google Scholar
• Wu, Y. Q., Zhao, Y., & Yu, J. B. (2013). Global asymptotic stability controller of uncertain nonholonomic systems. Journal of the Franklin Institute, 350(5), 1248–1263. doi: 10.1016/j.jfranklin.2013.02.018
   Web of Science ®Google Scholar
• Zhang, Z. C., Wu, Y. Q., & Huang, J. M. (2016). Robust adaptive antiswing control of underactuated crane systems with two parallel payloads and rail length constraint. ISA Transactions, 65, 275–283. doi: 10.1016/j.isatra.2016.07.014
   PubMed Web of Science ®Google Scholar
• Zhang, Z. Q., Xu, S. Y., & Zhang, B. Y. (2014). Asymptotic tracking control of uncertain nonlinear systems with unknown actuator nonlinearity. IEEE Transactions on Automatic Control, 59(5), 1336–1341. doi: 10.1109/TAC.2013.2289704
   Web of Science ®Google Scholar