© The Institution of Engineering and Technology
This study addresses the problem of position-tracking control of underactuated autonomous underwater vehicles (AUVs) in the presence of unknown ocean currents in a horizontal plane. A position-tracking controller and a current observer are presented based on the Lyapunov stability theory by using the backstepping technique, respectively. The final controlled system, which arises from putting together the position-tracking controller and the observer, is proved to be globally K-exponentially stable by stability criteria for cascade system. The trajectories used for the illustration of the proposed control schemes are a circle with constant velocity and a sinusoidal curve that requires time-varying velocity. In order to demonstrate the practicability of the proposed controller, the surge force is assumed to be non-negative, and control input saturations are considered. Simulation results are presented to demonstrate the effectiveness of the proposed control schemes.
References
-
-
1)
-
J. Cheng ,
J. Yi ,
D. Zhao
.
Design of a sliding mode controller for trajectory tracking problem of marine vessels.
IET Control Theory Appl.
,
1 ,
233 -
237
-
2)
-
E. Lefeber ,
K.Y. Pettersen ,
H. Nijmeijer
.
Tracking control of an underactuated ship.
IEEE Trans. Control Syst. Technol.
,
1 ,
52 -
61
-
3)
-
Frazzoli, E., Dahleh, M.A., Feron, E.: `Trajectory tracking control design for autonomous helicopters using a backstepping algorithm', Proc. American Control Conf., June 2000, Chicago, p. 4102–4107.
-
4)
-
Kim, K., Ura, T.: `Optimal and quasi-optimal navigations of an AUV in current disturbances', IEEE/RSJ Int. Conf. on Robots and Intelligent Systems, September 2008, Nice, France, p. 3661–3667.
-
5)
-
J.A. Farrell ,
S. Pang ,
W. Li
.
Chemical plume tracing via an autonomous underwater vehicle.
IEEE J. Ocean. Eng.
,
2 ,
428 -
442
-
6)
-
J.E. Refsnes ,
A.J. Sorensen ,
K.Y. Pettersen
.
Model-based output feedback control of slender-body underactuated AUVs: theory and experiments.
IEEE Trans. Control Syst. Technol.
,
5 ,
930 -
946
-
7)
-
T.I. Fossen
.
(1995)
Guidance and control of ocean vehicles.
-
8)
-
E. Panteley ,
A. Loria
.
On global uniform asymptotic stability of nonlinear time-varying systems in cascade.
Syst. Control Lett.
,
2 ,
131 -
138
-
9)
-
Aguiar, A.P., Hespanha, J.P.: `Position tracking of underactuated vehicles', Proc. American Control Conf., June 2003, Denver, CO, p. 1988–1993.
-
10)
-
A.P. Aguiar ,
A.M. Pascoal
.
Dynamic positioning and way-point tracking of underactuated AUVs in the presence of ocean currents.
Int. J. Control
,
7 ,
1092 -
1108
-
11)
-
J.G. Bellingham ,
K. Rajan
.
Robotics in remote and hostile environments.
Science
,
5853 ,
1098 -
1102
-
12)
-
J. Ghommam ,
F. Minf ,
A. Benali
.
Asymptotic backstepping stabilization of an underactuated surface vessel.
IEEE Trans. Control Syst. Technol.
,
6 ,
1150 -
1157
-
13)
-
C.A. Woolsey ,
L. Techy
.
Cross-track control of a slender underactuated AUV using potential shaping.
Ocean Eng.
,
1 ,
82 -
91
-
14)
-
A. Behal ,
D.M. Dawson ,
W.E. Dixon ,
Y. Fang
.
Tracking and regulation control of an underactuated surface vessel with nonintegrable dynamics.
IEEE Trans. Autom. Control
,
3 ,
495 -
500
-
15)
-
F. Repoulias ,
E. Papadopoulos
.
Planar trajectory planning and tracking control design for underactuated AUVs.
Ocean Eng.
,
1650 -
1667
-
16)
-
G. Antonelli
.
On the use of adaptive/integral actions for six-degrees-of-freedom control of autonomous underwater vehicles.
IEEE J. Ocean. Eng.
,
2 ,
300 -
312
-
17)
-
M.E. Cavdaroglu ,
N. Olgac
.
Trajectory tracking of cart-pendulum dynamics using multiple time-delayed feedback.
IET Control Theory Appl.
,
6 ,
458 -
466
-
18)
-
Haghi, P., Naraghi, M., Vanini, S.A.S.: `Adaptive position and attitude tracking of an AUV in the presence of ocean currents disturbances', Proc. 16th IEEE Int. Conf. on Control Applications Part of IEEE Multi-Conf. Systems and Control, October 2007, Singapore, p. 741–746.
-
19)
-
W. Wang ,
J. Yi ,
D. Zhao ,
D. Liu
.
Design of a stable sliding-mode controller for a class of second-order underactuated systems.
IET Control Theory Appl.
,
6 ,
683 -
690
-
20)
-
O. Sordalen ,
O. Egeland
.
Exponential stabilization of nonholonomic chained systems.
IEEE Trans. Autom. Control
,
1 ,
35 -
49
-
21)
-
Modarress, D., Svitek, P., Modarress, K., Wilson, D.W.: `Micro-optical sensors for underwater velocity measurement', Proc. Fifth Int. Symp. on Underwater Technology/Fifth Workshop on Scientific Use of Submarine Cables and Related Technologies, April 2007, Tokyo, Japan, p. 235–239.
-
22)
-
H.K. Khalil
.
(1988)
Nonlinear systems.
-
23)
-
E. Bovio ,
D. Cecchi ,
F. Baralli
.
Autonomous underwater vehicles for scientific and naval operations.
Annu. Rev. Control
,
2 ,
117 -
130
-
24)
-
H. Kondo ,
T. Ura
.
Navigation of an AUV for investigation of underwater structures.
Control Eng. Pract.
,
1551 -
1559
-
25)
-
Panteley, E., Lefeber, E., Loria, A., Nijmeijer, H.: `Exponential tracking control of a mobile car using a cascaded approach', Proc. IFAC Workshop on Motion Control, September 1998, Grenoble, France, p. 21–23.
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