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The authors consider the control of an underactuated mechanical system: Pendubot, which has four separated equilibrium points. A unified controller is proposed to stabilise the system at the four equilibrium points. Moreover, the proposed unified control can bring the underactuated link to ideal homoclinic orbits, which cannot be achieved by existing approaches. Simulation results verify the effectiveness of the proposed control.
References
-
-
1)
-
M.W. Spong ,
M. Vidyasagar
.
(1989)
Robot dynamics and control.
-
2)
-
A.S. Shiriaev ,
J.W. Perram ,
C. Canudas-de-Wit
.
Constructive tool for orbital stabilization of underactuated nonlinear systems: virtual constraints approach.
IEEE Trans. Autom. Control
,
8 ,
1164 -
1176
-
3)
-
Fantoni, I., Lozano, R., Spong, M.W.: `Passivity based control of the Pendubot', Proc. American Control Conf., 1999, San Diego, CA, USA, p. 268–272.
-
4)
-
A.S. Shiriaev ,
J.W. Perram ,
A. Robertsson ,
A. Sandberg
.
Periodic motion planning for virtually constrained Euler- Lagrange systems.
Syst. Control Lett.
,
11 ,
900 -
907
-
5)
-
J.A. Acosta ,
R. Ortega ,
A. Astolfi ,
I. Sarras
.
A constructive solution for stabilization via immersion and invariance: the cart and pendulum system.
Automatica
,
9 ,
2352 -
2357
-
6)
-
I. Fantoni ,
R. Lozano ,
M.W. Spong
.
Energy control of the Pendubot.
IEEE Trans. Autom. Control
,
4 ,
725 -
729
-
7)
-
A. Astolfi ,
D. Karagiannis ,
R. Ortega
.
(2007)
Nonlinear and adaptive control design and applications.
-
8)
-
A.S. Shiriaev ,
L.B. Freidovich ,
A. Robertsson ,
R. Johansson ,
A. Sandberg
.
Virtual-holonomic-constraints-based design of stable oscillations of Furuta pendulum: theory and experiments.
IEEE Trans. Robot.
,
4 ,
827 -
832
-
9)
-
R. Xu ,
U. Ozguner
.
Sliding mode control of a class of underactuated systems.
Automatica
,
1 ,
233 -
241
-
10)
-
A. Astolfi ,
R. Ortega
.
Immersion and invariance: a new tool for stabilization and adaptive control of nonlinear systems.
IEEE Trans. Autom. Control
,
4 ,
590 -
606
-
11)
-
L. Freidovich ,
A. Robertsson ,
A. Shiriaev ,
R. Johansson
.
Periodic motions of the Pendubot via virtual holomonic constraints: theory and experiments.
Automatica
,
3 ,
785 -
791
-
12)
-
H.K. Khalil
.
(1988)
Nonlinear systems.
-
13)
-
Block, D.J.: `Mechanical design and control of the Pendubo', 1996, Master, University of Illinois, Urbana-Champaign, IL, USA.
-
14)
-
Spong, M.W., Block, D.J.: `The pendubot: a mechatronic system for control research and education', Proc. 35th IEEE Conf. on Decision and Control, 1995, New Orleans, USA, p. 555–557.
-
15)
-
N.P.I. Aneke ,
H. Nijmeijer ,
A.G. de Jager ,
A. Isidori ,
F. Lagarrigue ,
W. Respondek
.
(2001)
Trajectory tracking by cascaded backstepping control for a second-order nonholonomic mechanical system, Nonlinear control in the year 2000’, (.
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