Control of a class of mechanical systems with uncertainties via a constructive adaptive/second order vsc approach

Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME

Volumn 122, Issue 1, 2000, Pages 33-39

  Ferrara, A ^a   Giacomini, L ^b  

^a UNIVERSITY OF PAVIA   (Italy)

^b ASTON UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002960995     PISSN: 00220434     EISSN: 15289028     Source Type: Journal    
DOI: 10.1115/1.482426     Document Type: Article

References (27)

1. Kanellakopoulos, I., Kokotovic, P. V., and Morse, A. S., 1991, “Systematic Design of Adaptive Controllers for Feedback Linearizable Systems,” IEEE Trans. Autom. Control., 36, pp. 1241-1253.
2. Krstic, M., Kanellakopoulos, I., and Kokotovic, P. V., 1992, “Adaptive Nonlinear Control Without Over-Parameterization,” Systems Control Lett., 19, pp. 177-185.
3. Krstic, M., and Kokotovic, P. V., 1995, “Adaptive Nonlinear Design with Controller-Identifier Separation and Swapping,” IEEE Trans. Autom. Control., 40, pp. 426-440.
4. Nam, K., and Arapostathis, A., 1988, “A Model Reference Adaptive Control Scheme for Pure-Feedback Non Linear Systems,” IEEE Trans. Autom. Control., 33, pp. 803-811.
5. Seto, D., Annaswamy, A. M., and Baillieul, J., 1994, “Adaptive Control of a Class of Nonlinear Systems with a Triangular Structure,” IEEE Trans. Autom. Control., 39, pp. 1411-1428.
6. Utkin, V. I., 1992, Sliding Modes In Control And Optimization, SpringerVerlag, Berlin.
7. Zinober, A. S. I. ed., 1994, Variable Structure and Lyapunov Control, Springer-Verlag, London.
8. Bartolini, G., and Ferrara, A., 1994, “Model-Following VSC Using an InputOutput Approach,”Variable Structure and Lyapunov Control, A.S.I. Zinober, ed., Springer-Verlag, London, pp. 289-312.
9. Narendra, K. S., and Boskovic, J. D., 1989, “A Combined Direct, Indirect and Variable Structure Method for Robust Adaptive Control,” IEEE Trans. Autom. Control., 37, pp. 262-268.
10. Bartolini, G., Ferrara, A., Giacomini, L., and Usai, E., 1996, “A Combined Backstepping/Second Order Sliding Mode Approach to Control a Class of Nonlinear Systems,” Proc. IEEE International Workshop on Variable Structure Systems, Tokyo, Japan, pp. 205-210.
11. Sira-Ramirez, H., 1992, “On the Sliding Mode Control of Nonlinear Systems,” Systems Control Lett., 19, pp. 303-312.
12. Zinober, A. S. I., and Rios-Bolivar, E. M., 1994, “Sliding Mode Control for Uncertain Linearizable Nonlinear Systems: A Backstepping Approach,” Proc. IEEE Workshop on Robust Control via Variable Structure and Lyapunov Techniques, Benevento, Italy, pp. 78-85.
13. Bartolini, G., Ferrara, A., and Usai, E., 1997, “Applications of a Suboptimal Discontinuous Control Algorithm for Uncertain Second Order Systems,” Int. J. Robust Nonlin. Control, 7, pp. 299-320.
14. Levant, A., 1993, “Sliding Order and Sliding Accuracy in Sliding Mode Control,” Int. J. Control, 58, pp. 1247-1263.
15. Spong, M. W., and Vidyasagar, M., 1989, Robot Dynamics and Control, Wiley, New York.
16. Marino, R., and Nicosia, S., 1985, “Singular Perturbation Techniques in the Adaptive Controls of Elastic Robots,” Proc. 1st IFAC Symp. on Robot Control, Barcelona, pp. 95-100.
17. Spong, M. W., 1987, “Modeling and Control of Elastic Joint Robots,” ASME J. Dyn. Syst., Meas., Control, 109, pp. 310-319.
18. Chang, Y., and Daniel, R. W., 1992, “On the Adaptive Control of Flexible Joint Robots,” Automatica, 28, pp. 969-974.
19. Ge, S. S., 1996, “Adaptive Controller Design for Flexible Joint Manipulators,” Automatica, 32, pp. 273-278.
20. Spong, M. W., 1989, “Adaptive Control of Flexible Joint Robots,” Systems Control Lett., 13, pp. 15-21.
21. Spong, M. W., 1995, “Adaptive Control of Flexible Joint Manipulators: Comments on Two Papers,” Automatica, 31, pp. 585-590.
22. Su, R., and Hunt, L. R., 1986, “A Canonical Expansion for Nonlinear Systems,” IEEE Trans. Autom. Control., 31, pp. 670-673.
23. Krstic, M., Kanellakopoulos, I., and Kokotovic, P. V., 1995, Nonlinear and Adaptive Control Design, Wiley, New York.
24. Krstic, M., and Kokotovic, P. V., 1994, “Observer-Based Schemes for Adaptive Nonlinear State-Feedback Control,” Int. J. Control, 59, No. 6, pp. 1373-1381.
25. Jankovic, M., 1997, “Adaptive Nonlinear Output Feedback Tracking with a Partial High-Gain Observer and Backstepping,” IEEE Trans. Autom. Control., 42, No. 1, pp. 106-113.
26. Bartolini, G., Ferrara, A., and Usai, E., 1997, “Output Tracking Control of Uncertain Nonlinear Second-Order Systems,” Automatica, 33, No. 12, pp. 2203-2212.
27. Li, Z., and Krstic, M., 1997, “Maximizing Regions of Attraction Via Back-stepping and CLFs with Singularities,” Systems Control Lett., 30, pp. 195-207.