| Title:
|
Application of a second order VSC to nonlinear systems in multi-input parametric-pure-feedback form (English) |
| Author:
|
Ferrara, Antonella |
| Author:
|
Giacomini, Luisa |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
36 |
| Issue:
|
1 |
| Year:
|
2000 |
| Pages:
|
[63]-75 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The use of a multi-input control design procedure for uncertain nonlinear systems expressible in multi-input parametric-pure feedback form to determine the control law for a class of mechanical systems is described in this paper. The proposed procedure, based on the well-known backstepping design technique, relies on the possibility of extending to multi-input uncertain systems a second order sliding mode control approach recently developed, thus reducing the computational load, as well as increasing robustness. (English) |
| Keyword:
|
multi-input control design |
| Keyword:
|
nonlinear system |
| MSC:
|
34H05 |
| MSC:
|
70Q05 |
| MSC:
|
93B12 |
| MSC:
|
93B51 |
| MSC:
|
93C10 |
| MSC:
|
93C35 |
| idZBL:
|
Zbl 1249.93101 |
| idMR:
|
MR1760889 |
| . |
| Date available:
|
2009-09-24T19:31:09Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135335 |
| . |
| Reference:
|
[1] Bartolini G., Ferrara A., Giacomini L., Usai E.: A combined backstepping/second order sliding mode approach to control a class of nonlinear systems.In: Proc. IEEE International Workshop on Variable Structure Systems. Tokyo 1996 |
| Reference:
|
[2] Bartolini G., Ferrara A., Usai E.: Applications of a suboptimal discontinuous control algorithm for uncertain second order systems.Internat. J. Robust Nonlin. Control 7 (1997), 299–320 MR 1445164, 10.1002/(SICI)1099-1239(199704)7:4<299::AID-RNC279>3.0.CO;2-3 |
| Reference:
|
[3] Bartolini G., Ferrara A., Usai E.: Chattering avoidance by second–order sliding modes control.IEEE Trans. Automat. Control 34 (1998), 2, 241–246 MR 1605966, 10.1109/9.661074 |
| Reference:
|
[4] Bartolini G., Ferrara A., Usai E., Utkin V. I.: Second order chattering–free sliding mode control for some classes of multi–input uncertain nonlinear systems.In: Proc. of the 6th IEEE Mediterranean Conference on Control and Systems. Alghero 1998 |
| Reference:
|
[5] Diong B. M., Medanic J. V.: Simplex–type variable structure controllers for systems with non–matching disturbances and uncertainties.Internat. J. Control 68 (1997), 625–656 Zbl 0882.93010, MR 1689669, 10.1080/002071797223550 |
| Reference:
|
[6] Kanellakopoulos I., Kokotovic P. V., Morse A. S.: Systematic design of adaptive controllers for feedback linearizable systems.IEEE Trans. Automat. Control 36 (1991), 1241–1253 Zbl 0768.93044, MR 1130494, 10.1109/9.100933 |
| Reference:
|
[7] Kirk D. E.: Optimal control theory.Prentice Hall, Englewood Cliffs, N.J. 1970 |
| Reference:
|
[8] Kokotović P. V., Krstić M., Kanellakopoulos I.: Nonlinear and Adaptive Control Design.Wiley, New York 1995 |
| Reference:
|
[9] Levant A.: Sliding order and sliding accuracy in sliding mode control.Internat. J. Control 58 (1993), 1247–1263 Zbl 0789.93063, MR 1250057, 10.1080/00207179308923053 |
| Reference:
|
[10] Levant A.: Higher order sliding: collection of design tools.In: European Control Conference, Bruxelles 1997 |
| Reference:
|
[11] Nam K., Arapostathis A.: A model reference adaptive control scheme for pure-feedback non–linear systems.IEEE Trans. Automat. Control 33 (1988), 803–811 MR 0953874, 10.1109/9.1308 |
| Reference:
|
[12] Seto D., Annaswamy A. M., Baillieul J.: Adaptive control of a class of nonlinear systems with a triangular structure.IEEE Trans. Automat. Control 39 (1994), 1411–1428 MR 1283912, 10.1109/9.299624 |
| Reference:
|
[13] Spong M. W., Vidyasagar M.: Robot Dynamics and Control.Wiley, New York 1989 |
| Reference:
|
[14] Su R., Hunt L. R.: A canonical expansion for nonlinear systems.IEEE Trans. Automat. Control 31 (1986), 670–673 Zbl 0618.93028, MR 0844926, 10.1109/TAC.1986.1104358 |
| Reference:
|
[15] Utkin V. I.: Sliding Modes in Control and Optimization.Springer–Verlag, Berlin 1992 Zbl 0748.93044, MR 1295845 |
| . |
