Fixed-time regulation control of uncertain nonholonomic systems and its applications

References

• Adamy, J., & Flemming, A. (2004). Soft variable-structure controls: A survey. Automatica, 40, 1821–1844.
   Web of Science ®Google Scholar
• Chen, H., Ding, S.H., Chen, X., Wang, L.H., Zhu, C.P., & Chen, W. (2014). Global finite-time stabilization for nonholonomic mobile robots based on visual servoing. International Journal of Advanced Robotic Systems, 11, 1–13.
   Web of Science ®Google Scholar
• Chen, H., Yan, D., Chen, X., Lei, Y., & Wang, Y.W. (2016). Robust finite-time stabilization of fractional-order extended nonholonomic chained form systems. In Proceedings of the 2015 Chinese intelligent systems conference (Vol. 2, pp. 1–15). Yangzhou: Springer-Verlag.
   Google Scholar
• Chen, H., Zhang, B.W., Zhao, T.B., Wang, T.T., & Li, K. (2015). Finite-time tracking control for extended nonholonomic chained-form systems with parametric uncertainty and external disturbance. Journal of Vibration and Control. doi:10.1177/1077546316633568
   PubMed Web of Science ®Google Scholar
• Cruz-Zavala, E., Moreno, J.A., & Fridman, L. (2012). Uniform sliding mode controllers and uniform sliding surfaces. IMA Journal of Mathematical Control and Information, 29, 491–505.
   Web of Science ®Google Scholar
• Ding, S.H., & Zheng, W.X. (2016). Nonsingular terminal sliding mode control of nonlinear second-order systems with input saturation. International Journal of Robust and Nonlinear Control, 26, 1857–1872.
   Web of Science ®Google Scholar
• Gao, F.Z., & Wu, Y.Q. (2014). Global state feedback stabilisation for a class of more general high-order non-linear systems. IET Control Theory and Applications, 8, 1648–1655.
   Web of Science ®Google Scholar
• Gao, F.Z., Wu, Y.Q., & Yuan, F.S. (2015). Semi-global finite-time stabilization of uncertain nonholonomic systems via output feedback. Transactions of the Institute of Measurement and Control, 37, 122–130.
   Web of Science ®Google Scholar
• Gao, F.Z., & Yuan, F.S. (2015). Adaptive finite-time stabilization for a class of uncertain high order nonholonomic systems. ISA Transactions, 54, 75–82.
   PubMed Web of Science ®Google Scholar
• Ge, S.S., Wang, Z.P., & Lee, T.H. (2003). Adaptive stabilization of uncertain nonholonomic systems by state and output feedback. Automatica, 39, 1451–1460.
   Web of Science ®Google Scholar
• Hong, Y.G., Huang, J., & Xu, Y.S. (2001). On an output feedback finite-time stabilization problem. IEEE Transactions on Automatic Control, 42, 305–309.
   Web of Science ®Google Scholar
• Huang, X.Q., Lin, W., & Yang, B. (2005). Global finite-time stabilization of a class of uncertain nonlinear systems. Automatica, 41, 881–888.
   Web of Science ®Google Scholar
• Jiang, Z.P. (2000). Robust exponential regulation of nonholonomic systems with uncertainties. Automatica, 36, 189–209.
   Web of Science ®Google Scholar
• Jiang, Z.P. (2002). Global tracking control of underactuated ships by Lyapunov's direct method. Automatica, 38, 301–309.
   Web of Science ®Google Scholar
• Kolmanovsky, I., & McClamroch, N.H. (1996). Hybrid feedback laws for a class of cascaded nonlinear control systems. IEEE Transactions on Automatic Control, 41, 1271–1282.
   Web of Science ®Google Scholar
• Korobov, V.I. (1979). A general approach to synthesis problem. Doklady Academii Nauk SSSR, 248, 1051–1063.
   Google Scholar
• Lan, Q.X., Li, S.H., Yang, J., & Guo, L. (2014). Finite-time control for soft landing on an asteroid based on line-of-sight angle. Journal of the Franklin Institute, 351, 383–398.
   Web of Science ®Google Scholar
• Levant, A. (2013). On fixed and finite time stability in sliding mode control. In Proceedings of the IEEE 52nd conference on decision and control (pp. 4260–4265). Florence: IEEE.
   Google Scholar
• Li, S.H., Ding, S.H., & Li, Q. (2009). Global set stabilisation of the spacecraft attitude using finite-time control technique. International Journal of Control, 82, 822–836.
   Web of Science ®Google Scholar
• Lin, W., & Qian, C.J. (2000a). Adaptive regulation of high-order lower-triangular systems: An adding a power integrator technique. Systems & Control Letters, 39, 353–364.
   Web of Science ®Google Scholar
• Lin, W., & Qian, C.J. (2000b). Adding one power integrator: A tool for global stabilization of high-order lower-triangular systems. Systems & Control Letters, 39, 339–351.
   Web of Science ®Google Scholar
• Nakamura, H., Nakamura, N., & Nishitani, H. (2007). Stabilization of homogeneous systems using implicit control Lyapunov functions. In Proceedings of the 7th IFAC symposium on nonlinear control systems (pp. 561–566). Pretoria: Elsevier.
   Google Scholar
• Ou, M.Y., Du, H.B., & Li, S.H. (2012). Finite-time tracking control of multiple nonholonomic mobile robots. Journal of Franklin Institute, 349, 3834–3860.
   Web of Science ®Google Scholar
• Polyakov, A. (2012). Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control, 57, 2106–2110.
   Web of Science ®Google Scholar
• Polyakov, A., Efimov, D., & Perruquetti, W. (2013). Finite-time stabilization using implicit Lyapunov function technique. In Proceedings of the 9th IFAC symposium on nonlinear control systems (pp. 140–145). Toulouse: Elsevier.
   Google Scholar
• Polyakov, A., Efimov, D., & Perruquetti, W. (2015). Finite-time and fixed-time stabilization: Implicit Lyapunov function approach. Automatica, 51, 332–340.
   Web of Science ®Google Scholar
• Polyakov, A., Efimov, D., & Perruquetti, W. (2016). Robust stabilization of MIMO systems in finite/fixed time. International Journal of Robust and Nonlinear Control, 26, 69–90.
   Web of Science ®Google Scholar
• Tao, C.W., Taur, J.S., Hsieh, T.W., & Tsai, C.L. (2008). Design of a fuzzy controller with fuzzy swing-up and parallel distributed pole assignment schemes for an inverted pendulum and cart system. IEEE Transactions on Control Systems Technology, 16, 1277–1288.
   Web of Science ®Google Scholar
• Wu, Y.Q., Gao, F.Z., & Liu, Z.G. (2015). Finite-time state-feedback stabilisation of non-holonomic systems with low-order non-linearities. IET Control Theory and Applications, 9, 1553–1560.
   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, 52, 798–802.
   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, 1248–1263.
   Web of Science ®Google Scholar
• Zhang, Z.C., & Wu, Y.Q. (2015a). Switching-based asymptotic stabilisation of underactuated ships with non-diagonal terms in their system matrices. IET Control Theory and Applications, 9, 972–980.
   Web of Science ®Google Scholar
• Zhang, Z.C., & Wu, Y.Q. (2015b). Further results on global stabilization and tracking control for underactuated surface vessels with non-diagonal inertia and damping matrices. International Journal of Control, 88, 1679–1692.
   Web of Science ®Google Scholar
• Zuo, Z.Y. (2015a). Non-singular fixed-time terminal sliding mode control of non-linear systems. IET Control Theory and Applications, 9, 545–552.
   Web of Science ®Google Scholar
• Zuo, Z.Y. (2015b). Nonsingular fixed-time consensus tracking for second order multi-agent networks. Automatica, 54, 305–309.
   Web of Science ®Google Scholar
• Zuo, Z.Y., & Tie, L. (2016). Distributed robust finite-time nonlinear consensus protocols for multi-agent systems. International Journal of Systems Science, 47, 1366–1375.
   Web of Science ®Google Scholar