Finite-time robust adaptive stabilisation of input saturated time-delay nonlinear systems

References

• Binazadeh, T., Karimi, M., & Tavakolpour-Saleh, A. R. (2019). Robust control approach for handling matched and/or unmatched uncertainties in port-controlled Hamiltonian systems. IET Cyber-Systems and Robotics, 1(3), 73–80. https://doi.org/10.1049/iet-csr.2019.0019
   Google Scholar
• Giri, F., Chaoui, F. Z., Chater, E., & Ghani, D. (2012). SISO linear system control via saturating actuator: L2 tracking performance in the presence of arbitrary-shaped inputs. International Journal of Control, 85(11), 1694–1707. https://doi.org/10.1080/00207179.2012.697194
   Web of Science ®Google Scholar
• Humaloja, J. P., & Paunonen, L. (2017). Robust regulation of infinite-dimensional port-Hamiltonian systems. IEEE Transactions on Automatic Control, 63(5), 1480–1486. https://doi.org/10.1109/TAC.9
   Web of Science ®Google Scholar
• Li, J., Chen, Z., Cai, D., Zhen, W., & Huang, Q. (2015). Delay-dependent stability control for power system with multiple time-delays. IEEE Transactions on Power Systems, 31(3), 2316–2326. https://doi.org/10.1109/TPWRS.2015.2456037
   Web of Science ®Google Scholar
• Li, Y., Qu, F., & Tong, S. (2020). Observer-based fuzzy adaptive finite-time containment control of nonlinear multiagent systems with input delay. IEEE Transactions on Cybernetics, 51(1), 126–137. https://doi.org/10.1109/TCYB.6221036
   PubMed Web of Science ®Google Scholar
• Lian, J., & Wu, F. (2019). Stabilization of switched linear systems subject to actuator saturation via invariant semiellipsoids. IEEE Transactions on Automatic Control, 65(10), 4332–4339. https://doi.org/10.1109/TAC.9
   Web of Science ®Google Scholar
• Liao, X., Chen, G., & Sanchez, E. N. (2002). Delay-dependent exponential stability analysis of delayed neural networks: An LMI approach. Neural Networks, 15(7), 855–866. https://doi.org/10.1016/S0893-6080(02)00041-2
   PubMed Web of Science ®Google Scholar
• Liu, Z. G., & Wu, Y. Q. (2018). Universal strategies to explicit adaptive control of nonlinear time-delay systems with different structures. Automatica, 89, 151–159. https://doi.org/10.1016/j.automatica.2017.11.023
   Web of Science ®Google Scholar
• Min, H., Xu, S., Ma, Q., Zhang, B., & Zhang, Z. (2017). Composite-observer-based output-feedback control for nonlinear time-delay systems with input saturation and its application. IEEE Transactions on Industrial Electronics, 65(7), 5856–5863. https://doi.org/10.1109/TIE.2017.2784347
   Web of Science ®Google Scholar
• Mohammadzamani, F., Hashemi, M., & Shahgholian, G. (2021). Adaptive control of nonlinear time-delay systems in the presence of output constraints and actuators faults. International Journal of Control, 1–13. https://doi.org/10.1080/00207179.2021.2005257
   Web of Science ®Google Scholar
• Moulay, E., Dambrine, M., Yeganefar, N., & Perruquetti, W. (2008). Finite-time stability and stabilization of time-delay systems. Systems $\mathrm{\&}$ Control Letters, 57(7), 561–566. https://doi.org/10.1016/j.sysconle.2007.12.002
   Web of Science ®Google Scholar
• Nguyen, A., Dambrine, M., & Lauber, J. (2014). Lyapunov-based robust control design for a class of switching non-linear systems subject to input saturation: Application to engine control. IET Control Theory $\mathrm{\&}$ Applications, 8(17), 1789–1802. https://doi.org/10.1049/cth2.v8.17
   Web of Science ®Google Scholar
• Sun, L., Li, M., & Yang, R. (2021). Finite-Time control of affine nonlinear singular systems subject to actuator saturation. Mathematical Problems in Engineering. https://doi.org/10.1155/2021/9937008
   Web of Science ®Google Scholar
• Sun, W., & Peng, L. (2016). Robust adaptive control of uncertain stochastic Hamiltonian systems with time varying delay. Asian Journal of Control, 18(2), 642–651. https://doi.org/10.1002/asjc.v18.2
   Web of Science ®Google Scholar
• Sun, W. W. (2011). Stabilization analysis of time-delay Hamiltonian systems in the presence of saturation. Applied Mathematics and Computation, 217(23), 9625–9634. https://doi.org/10.1016/j.amc.2011.04.044
   Web of Science ®Google Scholar
• Wang, H., Liu, P. X., Zhao, X., & Liu, X. (2019). Adaptive fuzzy finite-time control of nonlinear systems with actuator faults. IEEE Transactions on Cybernetics, 50(5), 1786–1797. https://doi.org/10.1109/TCYB.6221036
   PubMed Web of Science ®Google Scholar
• Wang, Y. (2007). Generalized Hamiltonian control system theory-implementation, control and application. Science Press. (In Chinese).
   Google Scholar
• Wang, Y., Li, C., & Cheng, D. (2003). Generalized Hamiltonian realization of time-invariant nonlinear systems. Automatica, 39(8), 1437–1443. https://doi.org/10.1016/S0005-1098(03)00132-8
   Web of Science ®Google Scholar
• Wei, A., & Wang, Y. (2014). Adaptive parallel simultaneous stabilization of a set of uncertain port-controlled hamiltonian systems subject to actuator saturation. International Journal of Adaptive Control and Signal Processing, 28(11), 1128–1144. https://doi.org/10.1002/acs.v28.11
   Web of Science ®Google Scholar
• Wei, A., Wang, Z. M., Mu, R., & Zhang, X. (2022). Finite-time adaptive control for port-controlled Hamiltonian systems with parametric perturbations. International Journal of Adaptive Control and Signal Processing, 36(4), 802–817. https://doi.org/10.1002/acs.v36.4
   Web of Science ®Google Scholar
• Wen, C., Zhou, J., Liu, Z., & Su, H. (2011). Robust adaptive control of uncertain nonlinear systems in the presence of input saturation and external disturbance. IEEE Transactions on Automatic Control, 56(7), 1672–1678. https://doi.org/10.1109/TAC.2011.2122730
   Web of Science ®Google Scholar
• Wu, Y., & Xie, X. J. (2019). Adaptive fuzzy control for high-order nonlinear time-delay systems with full-state constraints and input saturation. IEEE Transactions on Fuzzy Systems, 28(8), 1652–1663. https://doi.org/10.1109/TFUZZ.91
   Web of Science ®Google Scholar
• Xiang, Z., Qiao, C., & Mahmoud, M. S. (2012). Finite-time analysis and H∞ control for switched stochastic systems. Journal of the Franklin Institute, 349(3), 915–927. https://doi.org/10.1016/j.jfranklin.2011.10.021
   Web of Science ®Google Scholar
• Yang, R., & Guo, R. (2018). Adaptive finite-time robust control of nonlinear delay Hamiltonian systems via Lyapunov-Krasovskii method. Asian Journal of Control, 20(1), 332–342. https://doi.org/10.1002/asjc.v20.1
   Web of Science ®Google Scholar
• Yang, R., & Wang, Y. (2013). Finite-time stability analysis and H∞ control for a class of nonlinear time-delay Hamiltonian systems. Automatica, 49(2), 390–401. https://doi.org/10.1016/j.automatica.2012.11.034
   Web of Science ®Google Scholar
• Yang, R., Zhang, G., & Sun, L. (2021). Observer-based finite-time robust control of nonlinear time-delay systems via Hamiltonian function method. International Journal of Control, 94(12), 3533–3550. https://doi.org/10.1080/00207179.2020.1774657
   Web of Science ®Google Scholar
• Yuan, C., & Wu, F. (2015). Switching control of linear systems subject to asymmetric actuator saturation. International Journal of Control, 88(1), 204–215. https://doi.org/10.1080/00207179.2014.942884
   Web of Science ®Google Scholar
• Zhang, B., Jia, Y., Matsuno, F., & Endo, T. (2016). Task-space synchronization of networked mechanical systems with uncertain parameters and communication delays. IEEE Transactions on Cybernetics, 47(8), 2288–2298. https://doi.org/10.1109/TCYB.2016.2597446
   PubMed Web of Science ®Google Scholar
• Zhang, H., & Yang, R. (2021). Robust simultaneous stabilization of multiple n-degree-of-freedom robot systems. Asian Journal of Control, 24(5), 2702–2713. https://doi.org/10.1002/asjc.2673
   Web of Science ®Google Scholar
• Zhang, H., & Yang, R. (2022). Adaptive robust simultaneous stabilization of multiple n-degree-of-freedom robot systems. Control Theory and Technology, 20(1), 80–94. https://doi.org/10.1007/s11768-021-00076-6
   Google Scholar
• Zhang, Z., Xu, B., Tan, C., & Ge, S. S. (2020). Adaptive control of uncertain nonlinear time-delay systems with external disturbance. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 52(2), 1288–1295. https://doi.org/10.1109/TSMC.2020.3017801
   Web of Science ®Google Scholar
• Zhou, B., Gao, H., Lin, Z., & Duan, G. R. (2012). Stabilization of linear systems with distributed input delay and input saturation. Automatica, 48(5), 712–724. https://doi.org/10.1016/j.automatica.2012.02.007
   Web of Science ®Google Scholar
• Zhou, J., Wen, C., & Wang, W. (2009). Adaptive backstepping control of uncertain systems with unknown input time-delay. Automatica, 45(6), 1415–1422. https://doi.org/10.1016/j.automatica.2009.01.012
   Web of Science ®Google Scholar
• Zou, W., Shi, P., Xiang, Z., & Shi, Y. (2019). Finite-time consensus of second-order switched nonlinear multi-agent systems. IEEE Transactions on Neural Networks and Learning Systems, 31(5), 1757–1762. https://doi.org/10.1109/TNNLS.5962385
   PubMed Web of Science ®Google Scholar