Periodic motions of the Pendubot via virtual holonomic constraints: Theory and experiments
Tài liệu tham khảo
Aguilar, L. T., Boiko, I., Fridman, L., & Iriarte, R. (2006). Output excitation via second-order sliding-modes to generate periodic motion for underactuated systems. In Proceedings of the international workshop variable structure systems (pp. 359–364), Alghero, Italy.
Atassi, 2001, A separation principle for the control of a class of nonlinear systems, IEEE Transactions on Automatic Control, 46, 742, 10.1109/9.920793
Bittanti, 1991, The periodic Riccati equations, 127
Block, D. J. (1996). Mechanical design and control of the Pendubot. Master's thesis, University of Illinois, Urbana-Champaign, IL, USA.
Chemori, 2005, Limit cycle generation for a class of non-linear systems with jumps using a low dimensional predictive control, International Journal of Control, 78, 1206, 10.1080/00207170500268331
Fantoni, 2000, Energy based control of the Pendubot, IEEE Transactions on Automatic Control, 45, 725, 10.1109/9.847110
Freidovich, L., Robertsson, A., Shiriaev, A., & Johansson, R. (2006). Oscillations of the Pendubot via virtual-holonomic-constraints-based design, recorded experiments. Department of Applied Physics and Electronics, UmeÅ University, 〈http://www.tfe.umu.se/forskning/Control_Systems/Set_Ups/Pendubot/Pendubot_info.htm〉.
Freidovich, L., Robertsson, A., Shiriaev, A., & Johansson, R. (2007). Stable periodic motions of inertia wheel pendulum via virtual holonomic constraints. In Proceedings of the European control conference (pp. 3771–3776), Kos, Greece.
Freidovich, L., Shiriaev, A., Gomez-Estern, F., Gordillo, F., & Aracil, J. (2006). Modification via averaging of partial-energy-shaping control for orbital stabilization: Cart-pendulum example. In Proceedings of the 45th conference on decision and control (pp. 6144–6149), San Diego, USA.
Grognard, 2005, Virtual constraints for the orbital stabilization of the Pendubot, 115
Hauser, 1994, Converse Lyapunov functions for exponentially stable periodic orbits, Systems & Control Letters, 22, 27, 10.1016/0167-6911(94)90078-7
Khalil, 2002
Orlov, Y., Aguilar, L. T., & Acho, L. (2005). Model orbit stabilization (mors) of Pendubot with application to swing up control. In Proceedings of the 44th conference decision and control/European control conference (pp. 6164–6169), Seville, Spain.
Rugh, 1996
Shiriaev, A. S., Kolesnichenko, O., & Paramonov, L. (2002). How to redistribute energy between different links of the Pendubot. In Proceedings of the 15th IFAC World congress (pp. 1964–1969), Barcelona, Spain.
Shiriaev, 2005, Constructive tool for orbital stabilization of underactuated nonlinear systems: Virtual constraints approach, IEEE Transactions on Automatic Control, 50, 1164, 10.1109/TAC.2005.852568
Shiriaev, 2006, Periodic motion planning for virtually constrained Euler–Lagrange systems, Systems & Control Letters, 55, 900, 10.1016/j.sysconle.2006.06.007
Spong, M. W. (1994). Partial feedback linearization of underactuated mechanical systems. In Proceedings of the international conference on intelligent robots & systems (IROS’94) (pp. 314–321), Munich, Germany.
Spong, M. W., & Block, D. J. (1995). The Pendubot: A mechanical system for control research and education. In Proceedings of the 34th conference on decision and control (pp. 555–557), New Orleans, USA.
Spong, 1996
Yakubovich, 1986, Linear-quadratic optimization problem and frequency theorem for periodic systems, Siberian Mathematics Journal, 27, 181