Finite time stability and quasihomogeneous control synthesis of uncertain switched systems with application to underactuated manipulators

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 4566-4571

  Orlov, Yuri ^a  

^a CENTRO DE INVESTIGACIÓN CIENTÍFICA Y DE EDUCACIÓN SUPERIOR DE ENSENADA   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE TIME STABILITY; QUASIHOMOGENEOUS CONTROL SYNTHESIS; UNDERACTUATED MECHANICAL SYSTEMS;

ASYMPTOTIC STABILITY; ROBUSTNESS (CONTROL SYSTEMS); SWITCHING SYSTEMS; SYSTEM STABILITY;

MANIPULATORS;

EID: 33847212093     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582882     Document Type: Conference Paper

References (28)

1. Bartoiini G., Ferrara A. and Usai E. (2000). Chattering avoidance by second-order sliding mode control. IEEE Trans. Autom. Contr., 43, 241-246.
2. Berkemeier M. D. and Fearing R. S. (1999). Tracking Fast Inverted Trajectories of the Underactuated Acrobot. IEEE Trans. Robotics and Aut., 15, 4, 740-750.
3. Bhat S. P. and Bernstein D. S. (1997). Finite-Time Stability of Homogeneous Systems. Proc. Amer. Conti: Conf., 2513-2514, Albuquerque, NM.
4. Byrnes C.I. and Isidori A. (1991). Asymptotic stabilization of minimum phase nonlinear systems. IEEE Trans. Automat. Contr:, 36, 1122-1137.
5. Fantoni I., Lozano R. and Spong M. (2000). Energy Based Control of the Pendubot. IEEE Trans. Aut. Contr., 45, 4, 725-729.
6. Filippov A. F. (1988). Differential equations with discontinuous righthand sides. Dordrecht: Kluwer Academic Publisher.
7. Fridman L. and Levant A. (1996). Higher order sliding modes as a natural phenomenon in control theory, in Robust Control via variable structure and Lyapunov techniques, Garafalo and Glielmo (eds.), Lecture notes in control and information science, Berlin, Springer, 217, 107-133.
8. Fridman L. and Levant A. (2002). Higher order sliding modes, in Sliding mode control in engineering, W. Perruquetti and J.-P. Barbout (eds.), New York: Marcel Dekker, 53-102.
9. Hong Y., Huang J. and Xu Y. (2001). On an output feedback finite-time stabilization problem. IEEE Trans. Auto. Ctrl., 46, 305-309.
10. Lagerberg A., and Egardt B.S. (2003). Estimation of backlash with application to automotive powertrains. Proceedings of the 42 Conference on Decision and Control, Maui, Hawaii, USA, 4521-4526.
11. Levant A. (1993). Sliding order and sliding accuracy in sliding mode control. Int. J. Contr., 58, 1247-1263.
12. Liberzon D. (2003). Switching in Systems and Control Birkhauser: Boston.
13. Lu X.Y. and Spurgeon S.K. (1997). Robust sliding mode control of uncertain nonlinear systems. Syst. Contr. Lett., 32, 75-90.
14. Lygeros J., Johansson K.H., Simic S.N., Zhang J., and Sastry S.S. (2003). Dynamical properties of hybrid automata. IEEE Trans. Automat. Contr., 48, 2-17.
15. Merzouki R. and Cadiou J. C. (2005) Estimation of backlash phenomenon in the electromechanical actuator. Control Engineering Practice, 8, 973-983.
16. Orlov Y. (2003). Extended invariance principle for nonautonomous switched systems. IEEE Trans. Autom. Contr., 48, 1448-1452.
17. Orlov Y. (2005). Finite-time stability and robust control synthesis of uncertain switched systems. SIAM Journal on Optimization and Control, 43, 1253-1271.
18. Orlov Y., Aguilar L. and Cadiou J. (2003). Switched chattering control vs. backlash/friction phenomena in electrical servo-motors. Int. J. Contr., 76, 959-967.
19. Orlov Y., Alvarez J., Acho L. and Aguilar L. (2003). Global position regulation of friction manipulators via switched chattering control. Int. J. Contr., 76, 1446-1452.
20. Orlov Y., Acho L., Aguilar L., Cadiou J., and Merzouki R. (2004). Finite time output regulation of drive systems with backlash. Proceedings of the 8 International Workshop on Variable Structure Systems, Vilanova i la Geltri, Spain, CD-ROM.
21. Orlov Y., Acho L., and Aguilar L. (2004). Quasihomogeneity approach to the pendubot stabilization around periodic orbits. Proc. 2nd IFAC Symposium on Systems, Structure and Control, Oaxaca, Mexico, CD-ROM.
22. Ortega R., Gomez-Estern F., and Blankenstein G. (2002). Stabilization of a class of underactuated mechanical systems via interconnection and damping assignment. IEEE Trans. Auto. Ctrl., 47, 1218-1233.
23. Rosier L. (1992). Homogeneous Lyapunov function for homogeneous conitnuous vector field. Syst. Contr. Lett., 19, 467-473.
24. Spong M.W. (1995). The Swing Up Contol Problem for the Acrobot. IEEE Control Systems Magazine, 49-55.
25. Spong M.W. and Praly L. (1997). Control of Underactuated Mechanical Systems Using Switching and Saturation. Lecture Notes in Control and Information Sciences 222, Springer Verlag, London, 163-172, 1997.
26. Sussman H.J. and Kokotovic P.V. (1991). The peaking phenomenon and the global stabilization of nonlinear systems," IEEE Trans. Automat.Contr., 36, 424-440.
27. Utkin V.I., Guldner J. and Shi J. (1999). Sliding modes in Electromechanical Systems. London: Taylor and Francis.
28. Zhang M. and Tarn T.J. (2002). Hybrid control of the Pendubot. IEEE Trans. Mechatronics, 7, 79-86.