Keywords: multi-input control design; nonlinear system
@article{KYB_2000_36_1_a6,
author = {Ferrara, Antonella and Giacomini, Luisa},
title = {Application of a second order {VSC} to nonlinear systems in multi-input parametric-pure-feedback form},
journal = {Kybernetika},
pages = {63--75},
year = {2000},
volume = {36},
number = {1},
mrnumber = {1760889},
zbl = {1249.93101},
language = {en},
url = {http://geodesic.mathdoc.fr/item/KYB_2000_36_1_a6/}
}
TY - JOUR AU - Ferrara, Antonella AU - Giacomini, Luisa TI - Application of a second order VSC to nonlinear systems in multi-input parametric-pure-feedback form JO - Kybernetika PY - 2000 SP - 63 EP - 75 VL - 36 IS - 1 UR - http://geodesic.mathdoc.fr/item/KYB_2000_36_1_a6/ LA - en ID - KYB_2000_36_1_a6 ER -
Ferrara, Antonella; Giacomini, Luisa. Application of a second order VSC to nonlinear systems in multi-input parametric-pure-feedback form. Kybernetika, Tome 36 (2000) no. 1, pp. 63-75. http://geodesic.mathdoc.fr/item/KYB_2000_36_1_a6/
[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
[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 | DOI | MR
[3] Bartolini G., Ferrara A., Usai E.: Chattering avoidance by second–order sliding modes control. IEEE Trans. Automat. Control 34 (1998), 2, 241–246 | DOI | MR
[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
[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 | DOI | MR | Zbl
[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 | DOI | MR | Zbl
[7] Kirk D. E.: Optimal control theory. Prentice Hall, Englewood Cliffs, N.J. 1970
[8] Kokotović P. V., Krstić M., Kanellakopoulos I.: Nonlinear and Adaptive Control Design. Wiley, New York 1995
[9] Levant A.: Sliding order and sliding accuracy in sliding mode control. Internat. J. Control 58 (1993), 1247–1263 | DOI | MR | Zbl
[10] Levant A.: Higher order sliding: collection of design tools. In: European Control Conference, Bruxelles 1997
[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 | DOI | MR
[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 | DOI | MR
[13] Spong M. W., Vidyasagar M.: Robot Dynamics and Control. Wiley, New York 1989
[14] Su R., Hunt L. R.: A canonical expansion for nonlinear systems. IEEE Trans. Automat. Control 31 (1986), 670–673 | DOI | MR | Zbl
[15] Utkin V. I.: Sliding Modes in Control and Optimization. Springer–Verlag, Berlin 1992 | MR | Zbl