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Research Articles

Global asymptotic stability of input-saturated one degree-of-freedom Euler–Lagrange systems with Rayleigh dissipation under nonlinear control

Pages 2100-2112 | Received 30 Oct 2021, Accepted 16 May 2022, Published online: 09 Jun 2022

References

  • Agee, J. T., Kizir, S., & Bingul, Z. (2015). Intelligent proportional-integral (iPI) control of a single link flexible joint manipulator. Journal of Vibration and Control, 21(11), 2273–2288. https://doi.org/10.1177/1077546313510729.
  • Aguilar-Ibanez, C., Moreno-Valenzuela, J., García-Alarcon, O., Martinez-Lopez, M., & Suarez-Castanon, M. S. (2021). PI-type controllers and Σ-Δ modulation for saturated DC-DC Buck power converters. IEEE Access, 9, 20346–20357. https://doi.org/10.1109/ACCESS.2021.3054600.
  • Besançon, G. (1998). Simple global output feedback tracking control for one-degree-of-freedom Euler-Lagrange systems. IFAC Proceedings Volumes, 31(18), 251–255. https://doi.org/10.1016/S1474-6670(17)42000-3.
  • Clemente, E., Rodríguez-Liñán, M. C., Meza-Sánchez, M., Monay-Arredondo, L., & Herrera, L. (2021). A class of bounded and partially bounded nonlinear controllers for first and second order dynamical systems. IEEE Control Systems Letters, 6, 1028–1033. https://doi.org/10.1109/LCSYS.2021.3088760.
  • Dorf, R. C., & Bishop, R. H. (2017). Modern control systems. Pearson.
  • Doyle, J. C., Smith, R. S., & Enns, D. F. (1987, June). Control of plants with input saturation nonlinearities. In Proceedings of the American Control Conference (pp. 1034–1039). IEEE.
  • Goldfarb, M., & Sirithanapipat, T. (1999). The effect of actuator saturation on the performance of PD-controlled servo systems. Mechatronics, 9(5), 497–511. https://doi.org/10.1016/S0957-4158(99)00013-6.
  • Guo, Y., Huang, B., Li, A. J., & Wang, C. Q. (2019). Integral sliding mode control for Euler-Lagrange systems with input saturation. International Journal of Robust Nonlinear Control, 29(4), 1088–1100. https://doi.org/10.1002/rnc.4431.
  • Horowitz, I. (1983). A synthesis theory for a class of saturating systems. International Journal of Control, 38(1), 169–187. https://doi.org/10.1080/00207178308933067.
  • Kanamori, M. (2009). Anti-windup controller design for anthropoid robot manipulators with actuator saturations. IFAC Proceedings Volumes, 42(16), 548–553. https://doi.org/10.3182/20090909-4-JP-2010.00093.
  • Kelly, R. (1997). PD control with desired gravity compensation of robotic manipulators: A review. The International Journal of Robotics Research, 16(5), 660–672. https://doi.org/10.1177/027836499701600505.
  • Kelly, R., & Carelli, R. (1996). A class of nonlinear PD-type controllers for robot manipulators. Journal of Robotic Systems, 13(12), 793–802. https://doi.org/10.1002/(SICI)1097-4563(199612)13:12<793::AID-ROB2>3.0.CO;2-Q.
  • Kelly, R., Santibáñez, V., & Loría, A. (2005). Control of robot manipulators in joint space. Springer.
  • Khalil, H. K. (2002). Nonlinear systems (3rd ed.) Prentice-Hall.
  • Kumari, K., Behera, K., & Bandyopadhyay, B. (2018). Event-triggered sliding mode-based tracking control for uncertain Euler-Lagrange systems. IET Control Theory & Applications, 12(9), 1228–1235. https://doi.org/10.1049/iet-cta.2017.1114.
  • Li, J. (2021). Robust adaptive control of underactuated ships with input saturation. International Journal of Control, 94(7), 1784–1793. https://doi.org/10.1080/00207179.2019.1676467.
  • Li, J., & Du, J. (2020). Adaptive disturbance cancellation for a class of MIMO nonlinear Euler-Lagrange systems under input saturation. ISA Transactions, 96(10), 14–23. https://doi.org/10.1016/j.isatra.2019.06.021.
  • Maggiore, M., & Consolini, L. (2013). Virtual holonomic constraints for Euler-Lagrange systems. IEEE Transactions on Automatic Control, 58(4), 1001–1008. https://doi.org/10.1109/TAC.2012.2215538.
  • Mendoza, M., Zavala-Rio, A., Santibáñez, V., & Reyes, F. (2015). A generalized PID-type control scheme with simple tuning for the global regulation of robot manipulators with constrained inputs. International Journal of Control, 88(10), 1995–2012. https://doi.org/10.1080/00207179.2015.1027272.
  • Miyashita, H., Yamawaki, T., & Yashima, M. (2010). Learning control method for throwing an object more accurately with one degree of freedom robot. In 2010 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (pp. 397–402). IEEE. https://doi.org/10.1109/AIM.2010.5695807.
  • Ortega, R., Loría, A., Nicklasson, P. J., & Sira-Ramírez, H. (1998). Passivity-based control of Euler-Lagrange systems. Springer.
  • Perrusquia, A., Flores-Campos, J. A., & Torres-San-Miguel, C. R. (2020). A novel tuning method of PD with gravity compensation controller for robot manipulators. IEEE Access, 8, 114773–114783. https://doi.org/10.1109/ACCESS.2020.3003842.
  • Robinett, R. D., Parker, G. G., Schaub, H., & Junkins, J. L. (1997). Lyapunov optimal saturated control for nonlinear systems. Journal of Guidance, Control, and Dynamics, 20(6), 1083–1088. https://doi.org/10.2514/2.4189.
  • Salinas, A., Moreno-Valenzuela, J., & Kelly, R. (2016). A family of nonlinear PID-like regulators for a class of torque-driven robot manipulators equipped with torque-constrained actuators. Advances in Mechanical Engineering, 8(2), 1–14. https://doi.org/10.1177/1687814016628492.
  • Sciavicco, L., & Siciliano, B. (2000). Modelling and control of robot manipulators. Springer.
  • Sira-Ramirez, H., & Silva-Ortigoza, R. (2006). Control design techniques in power electronics devices. Springer.
  • Su, Y., & Zheng, C. (2009, December). A saturated PD plus scheme for asymptotic tracking of robot manipulators. In 2009 IEEE International Conference on Robotics and Biomimetics (pp. 853–858). IEEE. https://doi.org/10.1109/ROBIO.2009.5420561.
  • Su, Y., Zheng, C., & Mercorelli, P. (2017). Nonlinear PD fault-tolerant control for dynamic positioning of ships with actuator constraints. IEEE/ASME Transactions on Mechatronics, 22(3), 1132–1142. https://doi.org/10.1109/TMECH.2016.2603538.
  • Takegaki, M., & Arimoto, S. (1981). A new feedback method for dynamic control of manipulators. Journal of Dynamics Systems, Measurement, and Control, 103(2), 119–125. https://doi.org/10.1115/1.3139651.
  • Verastegui-Galván, J., Hernández-Guzmán, V. M., & Orrante-Sakanassi, J. (2018). PID position regulation in one-degree-of-freedom Euler-Lagrange systems actuated by a PMSM. International Journal of Control, 91(2), 285–296. https://doi.org/10.1080/00207179.2016.1278272.
  • Zamora-Gómez, G. I., Zavala-Rio, A., López-Araujo, D. J., & Santibáñez, V. (2019). Further results on the global continuous control for finite-time and exponential stabilisation of constrained-input mechanical systems: Desired conservative-force compensation and experiments. IET Control Theory & Applications, 13(2), 159–170. https://doi.org/10.1049/iet-cta.2018.5099.
  • Zavala-Rio, A., & Santibáñez, V. (2007). A natural saturating extension of the PD-with-desired-gravity-compensation control law for robot manipulators with bounded inputs. IEEE Transactions on Robotics, 23(2), 386–391. https://doi.org/10.1109/TRO.2007.892224.

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