This study considers the cooperative control of a group of underactuated surface vessels using the relative information between neighbour's information such that the group of surface vessels come into a desired geometric pattern whose centroid moves along a desired tajectory. With the aid of results from graph theory and Lyapunov techniques, decentralised cooperative control laws are proposed for different communication scenarios. The effect of communication delays on the proposed controllers is analysed. Simulation results show the effectiveness of the proposed control laws.
Inspec keywords: graph theory; decentralised control; marine systems; Lyapunov methods; delay systems
Other keywords:
Subjects: Combinatorial mathematics; Distributed parameter control systems; Marine system control; Multivariable control systems; Stability in control theory
References
-
-
1)
- Børhaug, E., Pavlov, A., Pettersen, K.Y.: `Cross-track formation control of underactuated surface vessels', Proc. IEEE Conf. on Decision and Control, 2006, p. 5955–5961.
-
2)
- Reyhanoglu, M.: `Control and stabilisation of an underactuated surface vessel', Proc. 35th IEEE Conf. Decision and Control, 1996, p. 2371–2376.
-
3)
- F. Arrichiello , S. Chiaverini , T.I. Fossen , K.Y. Pettersen , T. Gravdahl , H. Nijmeijer . (2006) Formation control of marine surface vessels using the null-space-based behavioral control,, Group coordination and cooperative control.
-
4)
- M. Breivik , M.V. Subbotin , T.I. Fossen , K.Y. Pettersen , T. Gravdahl , H. Nijmeijer . (2006) Kinematic aspects of guided formation control in 2D,, Group coordination and cooperative control.
-
5)
- I. Fantoni , R. Lozano , F. Mazenc , K.Y. Pettersen . Stabilization of a nonlinear underactuated hovercraft. Int. J. Robust Nonlinear Control , 8 , 645 - 654
-
6)
- W. Dong , J.A. Farrell . Cooperative control of multiple nonholonomic mobile agents. IEEE Trans. Autom. Control , 1434 - 1448
-
7)
- Petterson, K.Y., Nijmeijer, H.: `Global practical stabilisation and tracking for an underactuated ship–a combined averaging and backstepping approach', Proc. IFAC Conf. System Structure Control, 1998, p. 59–64.
-
8)
- Chung, F.R.K.: `Spectral graph theory', Reg. Conf. Series in Mathematics of American Mathematical Society, 1997, 92.
-
9)
- W. Dong , J.A. Farrell . Formation control of multiple underactuated surface vessels. IET Control Theory Appl. , 12 , 1077 - 1085
-
10)
- 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 , 495 - 900
-
11)
- I.-A. Ihle , J. Jouffroy , T.I. Fossen , K.Y. Pettersen , T. Gravdahl , H. Nijmeijer . (2006) Robust formation control of marine craft using lagrange multipliers, Group coordination and cooperative control.
-
12)
- F. Mazenc , K.Y. Pettersen , H. Nijmeijer . Global uniform asymptotic stabilisation of an underactuated surface vessel. IEEE Trans. Autom. Control , 10 , 1759 - 1762
-
13)
- J.J.E. Slotine , W. Li . (1991) Applied nonlinear control.
-
14)
- Arrichiello, F., Chiaverini, S., Fossen, T.I.: `Formation control of underactuated surface vessels using the null-space-based behavioral control', Proc. IEEE/RSJ Int. Conf. on Intelligent Robots and Systems, 2006, p. 5942–5947.
-
15)
- Godhavn, J.-M.: `Nonlinear tracking of underactuated surface vessels', Proc. 35th Conf. Decision Control, 1996, p. 975–980.
-
16)
- Aguiar, A., Ghabcheloo, R., Pascoal, A., Silvestre, C., Hespanha, J., Kaminer, I.: `Coordinated path-following of multiple underactuated autonomous vehicles with bidirectional communication constraints', Proc. Int. Symp. on Communications, Control and Signal Processing, 2006.
-
17)
- E. Lefeber , K.Y. Pettersen , H. Nijmeijer . Tracking control of an underactuated ship. IEEE Trans. Control Syst. Technol. , 1 , 52 - 61
-
18)
- Z.-P. Jiang . Global tracking control of underactuated ships by lyapunov's direct method. Automatica , 301 - 309
-
19)
- K.Y. Pettersen , O. Egeland . Time-varying exponential stabilisation of the position and attitude of an underactuated autonomous underwater vehicle. IEEE Trans. Autom. Control , 1 , 112 - 115
-
20)
- W. Dong , Y. Guo . Global time-varying stabilisation of underactuated surface vessel. IEEE Trans. Autom. Control , 6 , 859 - 864
-
21)
- R. Merris . A survey of graph laplacians. Linear Multilinear Algebra , 19 - 31
-
22)
- H.K. Khalil . (1996) Nonlinear Systems.
-
23)
- R. Olfati-Saber , R.M. Murray . Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Autom. Control , 101 - 115
-
1)
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