A stable hierarchical sliding-mode control method for a class of second-order underactuated systems is presented. The ideas behind the method are as follows. First, the underactuated system is divided into two subsystems. For each part a first-level sliding surface is defined. For these two first-level sliding surfaces, a second-level sliding surface is defined. The sliding-mode control law is derived using Lyapunov law. The control law can drive the subsystems toward their sliding surfaces and attain their desired values, and implement antidisturbance control. The asymptotic stability of all the sliding surfaces is proved theoretically, and simulation results show the controller's validity and its adaptive abilities for all kinds of extraneous disturbances.
References
-
-
1)
-
Lara-Rojo, F., Sanchez, E.N., Cuevas, E.V.: `Real-time neurofuzzy control an underactuated robot', Proc. 1999 Int. Joint Conf. on Neural Networks, 10–16 July 1999, p. 2220–2225.
-
2)
-
M. Zhang ,
T. Jong
.
Hybrqid control of the Pendubot.
IEEE/ASME Trans. Mechatronics
,
1 ,
79 -
86
-
3)
-
Sanchez, E.N., Flores, V.: `Real-time fuzzy PI+PD control for an underactuated robot', Proc. IEEE Int. Symp. on Intelligent Control, 2002, p. 137–141.
-
4)
-
Shiriaev, A.S., Kolesnichenoko, O.: `On passivity based control for partial stabilization of underactuated systems', Proc. 39th IEEE Conf. on Decision and Control, December 2000, p. 2174–2179.
-
5)
-
A. De Luca ,
R. Mattone ,
G. Oriolo
.
Stabilization of an underactuated planar 2R manipulator.
Int. J. Robust Nonlin. Control
,
181 -
198
-
6)
-
Q.P. Ha ,
Q.H. Nguyen ,
H.F. Durrant-Whyte
.
Fuzzy sliding-mode controller with applications.
IEEE Trans. Ind. Electron.
,
1 ,
38 -
45
-
7)
-
T.-H.S. Li ,
M.-Y. Shieh
.
Switching–type fuzzy sliding-mode control of a cart-pole system.
Mechatronics
,
91 -
109
-
8)
-
Mon, Y.-J., Lin, C.-M.: `Hierarchical fuzzy sliding-mode control', Proc. IEEE World Congress on Computational Intelligence, 2002, p. 656–661.
-
9)
-
G. Corriga ,
A. Giua ,
G. Usai
.
An implicit gain-scheduling controller for cranes.
IEEE Trans. Control Syst. Technol.
,
1 ,
15 -
20
-
10)
-
Ryu, S.-H., Park, J.-H.: `Fuzzy logic based tuning of sliding-mode controller for robot trajectory control', Proc. IEEE Int. Conf. on Robotics and Automation, 2001, p. 2974–2978.
-
11)
-
J.-C. Lo ,
Y.-H. Kuo
.
Decoupled fuzzy sliding-mode control.
IEEE Trans. Fuzzy Syst.
,
3 ,
426 -
435
-
12)
-
I. Fantoni ,
R. Lozano ,
M.W. Spong
.
Energy control of the Pendubot.
IEEE Trans. Autom. Control
,
4 ,
725 -
729
-
13)
-
Lee, H.-H., Choi, S.-G.: `A model-based antiswing control of overhead cranes with high hoisting speeds', Proc. IEEE Int. Conf. on Robotics and Automation, 21–26 May 2001, p. 2547–2552.
-
14)
-
W. Singhose ,
L. Porter ,
M. Kenison ,
E. Kriikku
.
Effect of hoisting on the input shaping control of gantry cranes.
Control Eng. Pract.
,
1159 -
1165
-
15)
-
R. Palm ,
D. Driankov
.
Design of a fuzzy gain scheduler using sliding-mode control principles.
Fuzzy Sets Syst.
,
13 -
23
-
16)
-
B. Yoo ,
W. Ham
.
Adaptive fuzzy sliding mode control of nonlinear system.
IEEE Trans. Fuzzy Syst.
,
2 ,
315 -
321
-
17)
-
Moon, M.S., VanLandingham, H.F., Beliveau, Y.J.: `Fuzzy time optional control of crane load', Proc. 35th Conf. on Decision and Control, December 1996, p. 1127–1132.
-
18)
-
Y.-C. Hsu ,
G. Chen ,
H.-X. Li
.
A fuzzy adaptive variable structure controller with applications to robot manipulators.
IEEE Trans. Syst. Man Cybern. – B, Cybern.
,
3 ,
331 -
340
-
19)
-
Mendez, J.A., Acosta, L., Moreno, L., Hamilton, A., Marichal, G.N.: `Design of a neural network based self-tuning controller for an overhead crane', Proc. IEEE Int. Conf. on Control Application, 1998, p. 167–171.
-
20)
-
Kim, Y.-S., Seo, H.-S., Sul, S.-K.: `A new antisway control scheme for trolley crane system', Conf. Rec. and IEEE-IAS Annual Meeting, 2001, p. 548–552.
-
21)
-
Xin, X., Kaneda, M.: `A robust control approach to the swing-up control problem for the Acrobot', Proc. IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, 2001, p. 1650–1655.
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