Further advancements on the output-feedback global continuous control for the finite-time and exponential stabilisation of bounded-input mechanical systems: desired conservative-force compensation and experiments

References

• Bhat, S. P., & Bernstein, D. S. (2005). Geometric homogeneity with applications to finite-time stability. Mathematics of Control, Signals and Systems, 17(2), 101–127. doi: 10.1007/s00498-005-0151-x
   Web of Science ®Google Scholar
• Brogliato, B., Lozano, R., Maschke, B., & Egeland, O. (2007). Dissipative Systems Analysis and Control (2nd ed.). London: Springer.
   Google Scholar
• Colbaugh, R., Barany, E., & Glass, K. (1997). Global regulation of uncertain manipulators using bounded control. Proceedings of the 1997 international conference on robotics & automation (pp. 1148–1884). Albuquerque, NM: IEEE.
   Google Scholar
• Cruz-Zavala, E., Nuño, E., & Moreno, J. A. (2017). Finite-time regulation of fully-actuated Euler-Lagrange systems without velocity measurements. Proceedings of the 56th conference on decision and control (pp. 6750–6755). Melbourne, Australia: IEEE.
   Google Scholar
• Hong, Y., Xu, Y., & Huang, J. (2002). Finite-time control for robot manipulators. Systems & Control Letters, 46(4), 243–253. doi: 10.1016/S0167-6911(02)00130-5
   Web of Science ®Google Scholar
• Kawski, M. (1990). Homogeneous stabilizing feedback laws. Control Theory and Advanced Technology, 6, 497–516.
   Web of Science ®Google Scholar
• Kelly, R. (1997). PD control with desired gravity compensation of robotic manipulators: A review. The International Journal of Robotics Research, 16(5), 660–672. doi: 10.1177/027836499701600505
   Web of Science ®Google Scholar
• Kelly, R., Santibáñez, V., & Loría, A (2005). Control of robot manipulators in joint space. London: Springer.
   Google Scholar
• Khalil, H. K. (2002). Nonlinear systems (3rd ed.). Upper Saddle River: Prentice Hall.
   Google Scholar
• Loría, A., Kelly, R., Ortega, R., & Santibáñez, V. (1997). On global output feedback regulation of Euler-Lagrange systems with bounded inputs. IEEE Transactions on Automatic Control, 42(8), 1138–1143. doi: 10.1109/9.618243
   Web of Science ®Google Scholar
• M'Closkey, R. T., & Murray, R. M. (1997). Exponential stabilization of driftless nonlinear control systems using homogeneous feedback. IEEE Transactions on Automatic Control, 42(5), 614–628. doi: 10.1109/9.580865
   Web of Science ®Google Scholar
• Mendoza, M., Zavala-Río, A., Santibáñez, V., & Reyes, F. (2015a). 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. doi: 10.1080/00207179.2015.1027272
   Web of Science ®Google Scholar
• Mendoza, M., Zavala-Río, A., Santibáñez, V., & Reyes, F. (2015b). Output-feedback proportional-integral-derivative-type control with simple tuning for the global regulation of robot manipulators with input constraints. IET Control Theory & Applications, 9(14), 2097–2106. doi: 10.1049/iet-cta.2014.0680
   Web of Science ®Google Scholar
• Michel, A. N., Hou, L., & Liu, D (2008). Stability of dynamical systems. Boston: Birkhäuser.
   Google Scholar
• Nuño, E., & Ortega, R. (2018). Achieving consensus of Euler-Lagrange agents with interconnecting delays and without velocity measurements via passivity-based control. IEEE Transactions on Control Systems Technology, 26(1), 222–232. doi: 10.1109/TCST.2017.2661822
   Web of Science ®Google Scholar
• Ortega, R., Loría, A., Kelly, R., & Praly, L. (1994). On passivity-based output feedback global stabilization of Euler-Lagrange systems. Proceedings of the 33th conference on decision and control (pp. 381–386). Lake Buena Vista, FL: IEEE.
   Google Scholar
• Sanyal, A. K., & Bohn, J. (2015). Finite-time stabilisation of simple mechanical systems using continuous feedback. International Journal of Control, 88(4), 783–791. doi: 10.1080/00207179.2014.974675
   Web of Science ®Google Scholar
• Takegaki, M., & Arimoto, S. (1981). A new feedback method for dynamic control of manipulators. Journal of Dynamic Systems, Measurement and Control, 103(2), 119–125. doi: 10.1115/1.3139651
   Web of Science ®Google Scholar
• Tomei, P. (1991). Adaptive PD controller for robot manipulators. IEEE Transactions on Robotics and Automation, 7(4), 565–570. doi: 10.1109/70.86088
   Google Scholar
• Zamora-Gómez, G. I., Zavala-Río, A., & López-Araujo, D. J. (2017). Observer-less output-feedback global continuous control for the finite-time and exponential stabilization of mechanical systems with constrained inputs. European Journal of Control, 36, 30–42. doi: 10.1016/j.ejcon.2017.04.003
   Web of Science ®Google Scholar
• Zavala-Río, A., & Fantoni, I. (2014). Global finite-time stability characterized through a local notion of homogeneity. IEEE Transactions on Automatic Control, 59(2), 471–477. doi: 10.1109/TAC.2013.2272886
   Web of Science ®Google Scholar
• Zavala-Río, 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. doi: 10.1109/TRO.2007.892224
   Web of Science ®Google Scholar
• Zavala-Río, A., & Zamora-Gómez, G. I. (2017). Local-homogeneity-based global continuous control for mechanical systems with constrained inputs: finite-time and exponential stabilization. International Journal of Control, 90(5), 1037–1051. doi: 10.1080/00207179.2016.1198494
   Web of Science ®Google Scholar
• Zhao, D., Li, S., Zhu, Q., & Gao, S. (2010). Robust finite-time control approach for robotic manipulators. IET Control Theory and Applications, 4(1), 1–15. doi: 10.1049/iet-cta.2008.0014
   Web of Science ®Google Scholar