In this paper, we present a variable structure control method that eliminates the reaching phase. The approach is based on modifying the sliding domain equations through the use of exponential functions. In addition, the proposed method insures optimal convergence parameters with respect to the tracking errors and control effort. [S0022-0434(00)02504-1]
Issue Section:
Technical Papers
1.
Utkin
, V. I.
, 1977
, “Variable Structure Systems with Sliding Mode
,” IEEE Trans. Autom. Control
, AC-22, pp
212
–222
.2.
Slotine
, 1985
, “Robust Control of Robot Manipulators
,” Int. J. Robot. Res.
, 4
, No. 2
, pp. 49
–64
.3.
Slotine, J. J. E., and Li, W., 1991, Applied Nonlinear Control, Prentice Hall, New Jersey.
4.
Bailey
, E.
, and Arapostathis
, A.
, 1987
, “Simple Sliding Mode Control Scheme Applied to Robot Manipulators
,” Int. J. Control
, 45
, No. 4
, pp. 1197
–1209
.5.
Ackermann
, J.
, and Utkin
, V.
, 1998
, “Sliding Mode Control Design Based on Ackermann’s Formula
,” IEEE Trans. Autom. Control
, 43
, No. 2
, pp. 234
–236
.6.
Chang
, T. H.
, and Hurmuzlu
, Y.
, 1993
, “Sliding Control Without Reaching Phase and Its Application to Bipedal Locomotion
,” ASME J. Dyn. Syst., Meas., Control
, 115
, pp. 447
–455
.7.
Choi
, S.
, Park
, D.
, and Jayasuriya
, S.
, 1994
, “A Time-Varying Sliding Surface for Fast and Robust Tracking Control of Second-Order Uncertain Systems
,” Automatica
, 30
, pp. 899
–904
.8.
Bartoszewicz
, A.
, 1995
, “A comment on A Time-Varying Sliding Surface for Fast and Robust Tracking Control of Second-Order Uncertain Systems
,” Automatica
, 31
, No. 12
, pp. 1893
–1895
.9.
Roy, R. G., and Olgac, N., 1997, “Robust Nonlinear Control via Moving Sliding Surfaces-n-th order case,” Proceedings of the 36th Conference on Decision and Control, San Diego, CA, pp. 943–948.
10.
Sastry, S, and Bodson, M., 1989, Adaptive Control-Stability, Convergence, and Robustness, Prentice Hall, New Jersey.
Copyright © 2000
by ASME
You do not currently have access to this content.