Stabilization of the inverted pendulum around its homoclinic orbit

Systems and Control Letters

Volumn 40, Issue 3, 2000, Pages 197-204

  Lozano, Rogelio ^a   Fantoni, Isabelle ^a   Block, Dan J ^b  

^a UNIVERSITÉ DE TECHNOLOGIE DE COMPIÈGNE   (France)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Inverted pendulum; Lyapunov functions; Nonlinear systems; Passivity

Indexed keywords

EID: 0000657126     PISSN: 01676911     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-6911(00)00025-6     Document Type: Article

References (15)

1. K.J. Åström, K. Furuta, Swinging up a pendulum by energy control, IFAC'96, Preprints 13th World Congress of IFAC, E, 1996, pp. 37-42.
2. C.C. Chung, J. Hauser, Nonlinear control of a swinging pendulum, Automatica 31 (1995) 851-862.
3. I. Fantoni, R. Lozano, F. Mazenc, A. Annaswamy, Stabilization of two-link robot using an energy approach, European Control Conference ECC'1999, 1999.
4. I. Fantoni, R. Lozano, M.W. Spong, Passivity based control of the pendubot, ACC'99, 1999; also IEEE Trans. Automat. Control, in press.
5. I. Fantoni, R. Lozano, M.W. Spong, Passivity based control of the pendubot, ACC'99, 1999; also IEEE Trans. Automat. Control, in press.
6. A.L. Fradkov, Swinging control of nonlinear oscillations, Int. J. Control 64 (6) (1996) 1189-1202.
7. A. Isidori, Nonlinear Control Systems: An Introduction, 2nd ed., Springer, Berlin, 1989.
8. B. Jakubczyk, W. Respondek, On the linearization of control systems, Bull. Acad. Polon. Sci. Math. 28 (1980) 517-522.
9. H.K. Khalil, Non-Linear Systems, 2nd ed., Prentice-Hall, Englewood Cliffs, NJ, 1996.
10. Z. Lin, A. Saberi, M. Gutmann, Y.A. Shamash, Linear controller for an inverted pendulum having restricted travel: a high-and-low approach, Automatica 32 (1996) 933-937.
11. F. Mazenc, L. Praly, Adding integrations, saturated controls, and stabilization for feedforward systems, IEEE Trans. Automat. Control 41 (1996) 1559-1578.
12. L. Praly, Stabilisation du système pendule-chariot: Approche par assignation d'énergie, personal communication, 1995.
13. M.W. Spong, The swing up control of the acrobot, 1994 IEEE International Conference on Robotics and Automation, 1994.
14. M.W. Spong, L. Praly, Control of underactuated mechanical systems using switching and saturation, Proceedings of the Block Island Workshop on Control Using Logic Based Switching, 1996.
15. Q. Wei, W.P. Dayawansa, W.S. Levine, Nonlinear controller for an inverted pendulum having restricted travel, Automatica 31 (1995) 841-850.