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Articles

On global trajectory tracking control of robot manipulators in cylindrical phase space

Pages 3003-3015 | Received 11 Feb 2018, Accepted 15 Jan 2019, Published online: 06 Feb 2019

References

  • Aguinaga-Ruiz, E., Zavala-Rio, A., Santibánez, V., & Reyes, F. (2009). Global trajectory tracking through static feedback for robot manipulators with bounded inputs. IEEE Transactions on Control Systems Technology, 17(4), 934–944. doi: 10.1109/TCST.2009.2013938
  • Andreev, A. (1984). On the asymptotic stability and instability of the zeroth solution of a non-autonomous system. Journal of Applied Mathematics and Mechanics, 48(2), 154–160. doi: 10.1016/0021-8928(84)90082-0
  • Andreev, A. (1986). Sulla stabilita ed instabilita. Rendiconti del Seminario Matematico della Universita di Padova, 75, 235–245.
  • Artstein, Z. (1977a). Topological dynamics of an ordinary differential equation. Journal of Differential Equations, 23, 216–223. doi: 10.1016/0022-0396(77)90127-9
  • Artstein, Z. (1977b). Topological dynamics of ordinary differential equations and Kurzweil equations. Journal of Differential Equations, 23, 224–243. doi: 10.1016/0022-0396(77)90128-0
  • Avila-Becerril, S., Loría, A., & Panteley, E. (2017). A separation principle for underactuated lossless Lagrangian systems. IEEE Transactions on Automatic Control, 62(10), 5318–5323. doi: 10.1109/TAC.2016.2633782
  • Barbashin, E. A., & Tabueva, V. A. (1969). Dynamical systems with a cylindrical phase space (Russian). Moscow: Nauka.
  • Bartolini, G., & Pisano, A. (2003). Global output-feedback tracking control and load disturbance rejection for electrically-driven robotic manipulators with uncertain dynamics. International Journal of Control, 76(12), 1201–1213. doi: 10.1080/0020717031000138638
  • Chernous'ko, F. L., Ananievski, I. M., & Reshmin, S. A. (2008). Control of nonlinear dynamical systems: Methods and applications. Berlin Heidelberg: Springer.
  • Kayumov, O. R. (1987). Asymptotic stability in the large in systems with a cylindrical phase space. Soviet Mathematics (Izvestiya VUZ. Matematika), 31(10), 79–82.
  • Khalil, H. (2001). Nonlinear systems. Pearson, (3 ed.), ISBN-13: 978–0130673893.
  • Kim, J. H., Hur, S. M., & Oh, Y. (2017). Performance analysis for bounded persistent disturbances in PD/PID-controlled robotic systems with its experimental demonstrations. International Journal of Control, DOI:10.1080/00207179.2017.1288301.
  • Leonov, G. A. (1976). A class of dynamical systems with cylindrical phase spaces. Siberian Mathematical Journal, 17(1), 72–90. doi: 10.1007/BF00969293
  • Loría, A. (1996). Global tracking control of one degree of freedom Euler-Lagrange systems without velocity measurements. European journal of control, 2(2), 144–151. doi: 10.1016/S0947-3580(96)70038-9
  • Loría, A. (2016). Observers are unnecessary for output-feedback control of Lagrangian Systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 61(4), 905–920. doi: 10.1109/TAC.2015.2446831
  • Loría, A., & Nijmeijer, H. (1998). Bounded output feedback tracking control of fully-actuated Euler-Lagrange systems. Systems and Control Letters, 33(3), 151–161. doi: 10.1016/S0167-6911(97)80170-3
  • Lozinskii, S. M. (1958). Error estimate for numerical integration of ordinary differential equations. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 5, 52–90.
  • Moreno-Valenzuela, J., Santibánez, V., Orozco-Manriquez, E., & González-Hernández, L. (2010). Theory and experiments of global adaptive output feedback tracking control of manipulators. IET Control Theory and Applications, 4(9), 1639–1654. doi: 10.1049/iet-cta.2009.0249
  • Nunes, E. V., & Hsu, L. (2010). Global tracking for robot manipulators using a simple causal PD controller plus feedforward. Robotica, 28, 23–34. doi: 10.1017/S0263574709005529
  • Nunes, E. V., Hsu, L., & Lizarralde, F. (2008). Arbitrarily small damping allows global output feedback tracking of a class of Euler-Lagrange systems. In American Control Conference, Westin Seattle Hotel, Seattle, Washington, USA, pp. 377–382.
  • Oliveira, T. R., Peixoto, A. J., & Hsu, L. (2015). Global tracling for a class of uncertain nonlinear systems with unknown sign-switching control direction by output feedback. International Journal of Control, 88(9), 1895–1910. doi: 10.1080/00207179.2015.1025292
  • Ouyang, P. R., Acob, J., & Pano, V. (2014). PD with sliding mode control for trajectory tracking of robotic system. Robotics and Computer-Integrated Manufacturing, 30, 189–200. doi: 10.1016/j.rcim.2013.09.009
  • Paden, B., & Panja, R. (1988). Globally asymptotically stable ‘PD+’ controller for robot manipulators. International Journal of Control, 47(6), 1697–1712. doi: 10.1080/00207178808906130
  • Qu, Z. (1994). Global stability of trajectory tracking of robot under PD control. Dynamics and Control, 4, 59–71. doi: 10.1007/BF02115739
  • Romero, J. G., Sarras, I., & Ortega, R. (2013). A globally exponentially stable tracking controller for mechanical systems using position feedback. American Control Conference, Washington, DC, USA, 4976–4981.
  • Rouche, N., Habets, P., & Laloy, M. (1977). Stability theory by Liapunov's direct method. New York: Springer.
  • Santibánez, V., & Kelly, R. (1999). Global asymptotic stability of the PD control with computed feedforward in closed loop with robot manipulators. 14th Triennal World Congress of IFAC, Beijing, R.P. China, pp. 683–688.
  • Santibánez, V., & Kelly, R. (2001). PD control with feedforward compensation for robot manipulators: analysis and experimentation. Robotica, 19, 11–19. doi: 10.1017/S0263574700002848
  • Spong, M., Seth, H., & Vidyasagar, M. (2004). Robot dynamics and control. New York: Wiley.
  • 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
  • Wakeman, D. R. (1975). An applications to topological dynamics to obtain a new invariance property for nonautonomous ordinary differential equations. Journal of Differential Equations, 17, 259–295. doi: 10.1016/0022-0396(75)90044-3
  • Yarza, A., Santibánez, V., & Moreno-Valenzuela, J. (2013). An adaptive output feedback motion tracking controller for robot manipulators: Uniform global asymptotic stability and experimentation. International Journal of Applied Mathematics and Computer Science, 23(3), 599–611. doi: 10.2478/amcs-2013-0045
  • Zavala-Rio, A., Aguinaga-Ruiz, E., & Santibánez, V. (2011). Global trajectory tracking through output feedback for robot manipulators with bounded inputs. Asian Journal of Control, 13(3), 430–438. doi: 10.1002/asjc.324
  • Zotov, Yu. K. (2008). Linear stabilization of the programmed motions of non-linear controlled dynamical systems under parametric perturbations. Journal of Applied Mathematics and Mechanics, 72(4), 391–409. doi: 10.1016/j.jappmathmech.2008.08.014

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