A new design of sliding mode control based on an uncertainty and disturbance estimator (UDE) is given. The control proposed does not require the knowledge of bounds of uncertainties and disturbances and is continuous. Thus, two main difficulties in the design of sliding mode control are overcome. Furthermore, the method of UDE is extended to plants having significant uncertainty in the control input matrix and subjected to disturbances that nonlinearly depend on states.
1.
Slotine
, J. J. E.
, and Coetsee
, J. A.
, 1986, “Adaptive Sliding Controller Synthesis for Non-Linear Systems
,” Int. J. Control
0020-7179, 43
(6
), pp. 1631
–1651
.2.
Yoo
, D. S.
, and Chung
, M. J.
, 1992, “A Variable Structure Control law With Simple Adaptation Laws for Upper Bounds on the Norm of Uncertainties
,” IEEE Trans. Autom. Control
0018-9286, 37
(6
), pp. 159
–165
.3.
Wheeler
, G.
, Su
, C. Y.
, and Stepanenko
, Y.
, 1998, “A Sliding Mode Controller With Improved Adaptation Laws for the Upper Bounds on the Norm of Uncertainties
,” Automatica
0005-1098, 34
(12
), pp. 1657
–1661
.4.
Youcef-Toumi
, K.
, and Ito
, O.
, 1990, “A Time Delay Controller for Systems With Unknown Dynamics
,” ASME J. Dyn. Syst., Meas., Control
0022-0434, 112
(1
), pp. 133
–142
.5.
Elmali
, H.
, and Olgac
, N.
, 1992, “Sliding Mode Control With Perturbation Estimation (SMCPE): A New Approach
,” Int. J. Control
0020-7179, 56
(4
), pp. 923
–941
.6.
Morioka
, H.
, Wada
, K.
, and Šabanovic
, A.
, 1996, “Sliding Mode Control Based on the Time Delay Estimation
,” IEEE Workshop on Variable Structure Systems
, pp. 102
–107
.7.
Youcef-Toumi
, K.
, and Shortlidge
, C.
, 1991, “Control of Robotic Manipulators Using Time Delay
,” IEEE International Conference on Robotics and Automation
, pp. 2391
–2398
.8.
Park
, J. Y.
, and Chang
, P. H.
, 2004, “Vibration Control of a Telescopic Handler Using Time Delay Control and Commandless Input Shaping Technique
,” Control Eng. Pract.
0967-0661, 12
, pp. 769
–780
.9.
Kim
, N. I.
, Lee
, C. W.
, and Chang
, P. H.
, 1998, “Sliding Mode Control With Perturbation Estimation: Application to Motion Control to Parallel Manipulator
,” Control Eng. Pract.
0967-0661, 6
, pp. 1321
–1330
.10.
Xu
, J.
, and Cao
, W.
, 2000, “Synthesized Sliding Mode and Time-Delay Control for a Class of Uncertain Systems
,” Automatica
0005-1098, 36
(12
), pp. 1909
–1914
.11.
Chan
, S. P.
, 1996, “An Approach to Perturbation Comensation for Variable Structure Systems
,” Automatica
0005-1098, 32
(3
), pp. 469
–473
.12.
Zhong
, Q.-C.
, and Rees
, D.
, 2004, “Control of Uncertain LTI Systems Based on an Uncertainty and Disturbance Estimator
,” ASME J. Dyn. Syst., Meas., Control
0022-0434, 126
(4
), pp. 905
–910
.13.
Ackermann
, J.
, and Utkin
, V. I.
, 1998, “Sliding Mode Control Design Based on Ackermann’s Formula
,” IEEE Trans. Autom. Control
0018-9286, 43
(2
), pp. 234
–237
.14.
Corradini
, M. L.
, and Orlando
, G.
, 1998, “Variable Structure Control of Discretized Continuous Systems
,” IEEE Trans. Autom. Control
0018-9286, 43
(9
), pp. 1329
–1334
.15.
Paranjpe
, N. V.
, and Phadke
, S. B.
, 2005, “Comments on Variable Structure Control of Discretized Continuous-Time Systems
,” IEEE Trans. Autom. Control
0018-9286, 50
(4
), pp. 538
–540
.Copyright © 2008
by American Society of Mechanical Engineers
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