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Volumn 44, Issue 3, 2008, Pages 785-791

Periodic motions of the Pendubot via virtual holonomic constraints: Theory and experiments

Author keywords

Nonlinear feedback control; Orbital stabilization; Pendubot

Indexed keywords

CONSTRAINT THEORY; FEEDBACK CONTROL; MOTION COMPENSATION; NONLINEAR CONTROL SYSTEMS; TIME VARYING SYSTEMS;

EID: 39449120584     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2007.07.011     Document Type: Article
Times cited : (93)

References (21)
  • 1
    • 33845592912 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 2
    • 0035332585 scopus 로고    scopus 로고
    • A separation principle for the control of a class of nonlinear systems
    • Atassi A.N., and Khalil H.K. A separation principle for the control of a class of nonlinear systems. IEEE Transactions on Automatic Control 46 (2001) 742-746
    • (2001) IEEE Transactions on Automatic Control , vol.46 , pp. 742-746
    • Atassi, A.N.1    Khalil, H.K.2
  • 3
    • 0002425751 scopus 로고
    • The periodic Riccati equations
    • Bittanti S., Laub A., and Willems J.C. (Eds), Springer, Berlin
    • Bittanti S., Colaneri P., and de Nicolau G. The periodic Riccati equations. In: Bittanti S., Laub A., and Willems J.C. (Eds). The Riccati equation (1991), Springer, Berlin 127-162
    • (1991) The Riccati equation , pp. 127-162
    • Bittanti, S.1    Colaneri, P.2    de Nicolau, G.3
  • 4
    • 39449113322 scopus 로고    scopus 로고
    • Block, D. J. (1996). Mechanical design and control of the Pendubot. Master's thesis, University of Illinois, Urbana-Champaign, IL, USA.
    • Block, D. J. (1996). Mechanical design and control of the Pendubot. Master's thesis, University of Illinois, Urbana-Champaign, IL, USA.
  • 5
    • 27844525339 scopus 로고    scopus 로고
    • Limit cycle generation for a class of non-linear systems with jumps using a low dimensional predictive control
    • Chemori A., and Alamir M. Limit cycle generation for a class of non-linear systems with jumps using a low dimensional predictive control. International Journal of Control 78 (2005) 1206-1217
    • (2005) International Journal of Control , vol.78 , pp. 1206-1217
    • Chemori, A.1    Alamir, M.2
  • 7
    • 39449111259 scopus 로고    scopus 로고
    • 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. (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〉.
  • 8
    • 84927729091 scopus 로고    scopus 로고
    • 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., 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.
  • 9
    • 85128574081 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 11
    • 0028465235 scopus 로고
    • Converse Lyapunov functions for exponentially stable periodic orbits
    • Hauser J., and Chung C.C. Converse Lyapunov functions for exponentially stable periodic orbits. Systems & Control Letters 22 (1994) 27-34
    • (1994) Systems & Control Letters , vol.22 , pp. 27-34
    • Hauser, J.1    Chung, C.C.2
  • 13
    • 33845576268 scopus 로고    scopus 로고
    • 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.
    • 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.
  • 15
    • 39449086760 scopus 로고    scopus 로고
    • 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, 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.
  • 16
    • 26244459179 scopus 로고    scopus 로고
    • Constructive tool for orbital stabilization of underactuated nonlinear systems: Virtual constraints approach
    • Shiriaev A.S., Perram J.W., and Canudas de Wit C. Constructive tool for orbital stabilization of underactuated nonlinear systems: Virtual constraints approach. IEEE Transactions on Automatic Control 50 (2005) 1164-1176
    • (2005) IEEE Transactions on Automatic Control , vol.50 , pp. 1164-1176
    • Shiriaev, A.S.1    Perram, J.W.2    Canudas de Wit, C.3
  • 18
    • 39449113627 scopus 로고    scopus 로고
    • 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. (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.
  • 19
    • 0029513929 scopus 로고    scopus 로고
    • 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, 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.
  • 21
    • 0001857242 scopus 로고
    • Linear-quadratic optimization problem and frequency theorem for periodic systems
    • Yakubovich V.A. Linear-quadratic optimization problem and frequency theorem for periodic systems. Siberian Mathematics Journal 27 (1986) 181-200
    • (1986) Siberian Mathematics Journal , vol.27 , pp. 181-200
    • Yakubovich, V.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.