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Original Articles

Robust adaptive uniform exact tracking control for uncertain Euler–Lagrange system

, , &
Pages 2711-2720 | Received 30 Jun 2016, Accepted 18 Nov 2016, Published online: 22 Dec 2016

References

  • Abdessameud, A., Polushin, I. G., & Tayebi, A. (2014). Synchronization of lagrangian systems with irregular communication delays. IEEE Transactions on Automatic Control, 59(1), 187–193.
  • Adetola, V., & Guay, M. (2008). Finite-time parameter estimation in adaptive control for nonlinear systems. IEEE Transactions on Automatic Control, 3(3), 807–811.
  • Chen, G., Yue, Y., & Song, Y. (2013). Finite-time cooperative-tracking control for networked Euler–Lagrange systems. IET Control Theory & Application, 7(11), 1487–1497.
  • Chiu, C. (2012). Derivative and integral terminal sliding mode control for a class of MIMO nonlinear systems. Automatica, 48, 316–326.
  • Cruz-Zavala, E., Moreno, J., & Fridman, L. (2011). Uniform robust exact differentiator. IEEE Transactions on Automatic Control, 56(11), 2727–2733.
  • Feng, Y., Yu, X., & Han, F. (2013). On nonsingular terminal sliding-mode control of nonlinear systems. Automatica, 49(6), 1715–1722.
  • Feng, Y., Yu, X., & Man, Z. (2002). Non-singular terminal sliding mode control of rigid manipulators. Automatica, 38, 2159–2167.
  • Ghasemi, M., & Nersesov, S. (2014). Finite-time coordination in multiagent systems using sliding mode control approach. Automatica, 50, 1209–1216.
  • Ghasemi, M., Nersesov, S., & Clayton, G. (2014). Finite-time tracking using sliding mode control. Journal of the Franklin Institute, 351(5), 2966–2990.
  • Hong, Y., Wang, J., & Chen, D. (2006). Adaptive finite-time control of nonlinear systems with parametric uncertainty. IEEE Transactions on Automatic Control, 51(5), 858–862.
  • Hua, C., Yang, Y., & Liu, P. (2015). Output-feedback adaptive control of networked teleoperation system with time-varying delay and bounded inputs. IEEE/ ASME Transactions on Mechatronics, 20(5), 2009–2020.
  • Huang, X., Lin, W., & Yang, B. (2005). Global finite-time stabilization of a class of uncertain nonlinear systems. Automatica, 41, 881–888.
  • Laghrouche, S., Plestan, F., & Glumineau, A. (2007). Higher order sliding mode control based on integral sliding mode. Automatica, 43(3), 531–537.
  • Liu, Y., Min, H., & Wang, S. (2014). Distributed consensus of a class of networked heterogenous multi-agent systems. Journal of the Franklin Institute, 351(3), 1700–1716.
  • Loría, A. (2016). Observers are unnecessary for output-feedback control of lagrangian systems. IEEE Transactions on Automatic Control, 61(4), 905–920.
  • Lu, K., & Xia, Y. (2013). Adaptive attitude tracking control for rigid spacecraft with finite-time convergence. Automatica, 49(12), 3591–3599.
  • Na, J., Mahyuddin, M., Herrmann, G., Ren, X., & Barber, P. (2015). Robust adaptive finite-time parameter estimation and control for robotic systems. International Journal of Robust and Nonlinear Control, 25(16), 3045–3071.
  • Nuño, E., Ortega, R., Basañez, L., & Hill, D. (2011). Synchronization of networks of nonidentical Euler–Lagrange systems with uncertain parameters and communication delays. IEEE Transactions on Automatic Control, 56(4), 935–941.
  • Ortega, R., Perez., J., Nicklasson, P., & Sira-Ramirez, H. (2013). Passivity-based control of Euler-Lagrange systems: mechanical, electrical and electromechanical applications. London: Springer Science & Business Media.
  • Patre, P., Mackunis, W., Johnson, M., & Dixon, W. (2010). Composite adaptive control for Euler–Lagrange systems with additive disturbances. Automatica, 46(1), 140–147.
  • Polyakov, A. (2012). Nonlinear feedback design for fixed-time stabilization of linear control systems. IEEE Transactions on Automatic Control, 57(8), 2106–2110.
  • Polyakov, A., & Fridman, L. (2014). Stability notions and Lyapunov functions for sliding mode control systems. Journal of the Franklin Institute, 351(4), 1831–1865.
  • Polyakov, A., Efimov, D., & Perruquetti, W. (2015). Finite-time and fixed-time stabilization: Implicit Lyapunov function approach. Automatica, 51, 332–340.
  • Sastry, S., & Bodson, M. (1989). Stability, convergence, and robustness. New Jersey, NY: Prentice Hall.
  • Wang, L., Chai, T., & Zhai, L. (2009). Neural-network-based terminal sliding-mode control of robotic manipulators including actuator dynamics. IEEE Transactions on Industrial Electronics, 56(9), 3296–3304.
  • Xu, J., Guo, Z., & Tong, H. (2014). Design and implementation of integral sliding-mode control on an underactuated two-wheeled mobile robot. IEEE Transactions on Industrial Electronics, 61(7), 3671–3681.
  • Yang, Y., Hua, C., Ding, H., & Guan, X. (2015). Finite-time coordination control for networked bilateral teleoperation. Robotica, 33(2), 451–462.
  • Yang, Y., Hua, C., & Guan, X. (2013). Adaptive fuzzy finite-time coordination control for networked nonlinear bilateral teleoperation system. IEEE Transactions on Fuzzy Systems, 22(3), 631–641.
  • Yu, S., Yu, X., Shirinzadeh, B., & Man, Z. (2005). Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica, 41, 1957–1964.
  • Zuo, Z. (2015). Nonsingular fixed-time consensus tracking for second-order multi-agent networks. Automatica, 54, 305–309.

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