© The Institution of Engineering and Technology
In multi-agent control systems, coordination of agents often relies critically on the connectivity of the underlying communication network. This study analyses the problem of preserving connectivity with bounded control inputs for multi-agent systems. Firstly, a general potential-based control framework is investigated and sufficient conditions for achieving rendezvous while preserving connectivity are presented. Then, based on the modification of the potential-based control, a novel bounded control law with very mild design requirements is proposed and the issues of preserving connectivity, the agent group rendezvous, and the input bound of the controller are discussed. The effectiveness of the proposed control law and the boundedness of the inputs are illustrated by numerical examples.
References
-
-
1)
-
Notarstefano, G., Savla, K., Bullo, F., Jadbabaie, A.: `Maintaining limited-range connectivity among second-order agents', Proc. 2006 American Control Conf., June 2006, Minneapolis, Minnesota, USA, p. 2124–2129.
-
2)
-
Moreau, L.: `Stability of continuous-time distributed consensus algorithms', Proc. 43rd IEEE Conf. on Decision and Control, December 2004, Atlantis, Paradise Island, Bahamas, p. 3998–4003.
-
3)
-
A.K. Das ,
Y. Hatano ,
M. Mesbahi
.
Agreement over noisy networks.
IET Control Theory Appl.
,
11 ,
2416 -
2426
-
4)
-
R. Olfati-Saber ,
J.A. Fax ,
R.M. Murray
.
Consensus and cooperation in networked multi-agent systems.
Proc. IEEE.
,
1 ,
215 -
233
-
5)
-
Dimarogonas, D.V., Johansson, K.H.: `Decentralized connectivity maintenance in mobile networks with bounded inputs', Proc. 2008 IEEE Int. Conf. on Robotics and Automation, May 2008, Pasadena, CA, USA, p. 1507–1512.
-
6)
-
D. Zhao ,
C. Li ,
Q. Zhu
.
Low-pass-filter-based position synchronization sliding mode control for multiple robotic manipulator systems.
J. Syst. Control Eng.
,
8 ,
1136 -
1148
-
7)
-
H. Shi ,
L. Wang ,
T. Chu
.
Flocking of multi-agent systems with a dynamic virtual leader.
Int. J. Control
,
1 ,
43 -
58
-
8)
-
Ji, M., Egerstedt, M.: `Distributed formation control while preserving connectedness', Proc. 45th IEEE Conf. on Decision and Control, December 2006, San Diego, CA, USA, p. 5962–5967.
-
9)
-
Ji, M., Egerstedt, M.: `Connectedness preserving distributed coordination control over dynamic graphs', Proc. 2005 American Control Conf., Portland, OR, USA, p. 93–98.
-
10)
-
G.M. Hoffmann ,
C.J. Tomlin
.
Mobile sensor network control using mutual information methods and particle filters.
IEEE Trans. Autom. Control
,
1 ,
32 -
47
-
11)
-
M.M. Zavlanos ,
G.J. Pappas
.
Potential field for maintaining connectivity of mobile networks.
IEEE Trans. Robot.
,
4 ,
812 -
816
-
12)
-
T. Gustavi ,
D.V. Dimarogonas ,
M. Egerstedt ,
X. Hu
.
Sufficient conditions for connectivity maintence and rendezvous in leader-follower networks.
Automatica
,
133 -
139
-
13)
-
A. Jadbabaie ,
J. Lin ,
A.S. Morse
.
Coordination of groups of mobile autonomous agents using nearest neighbor rules.
IEEE Trans. Autom. Control
,
6 ,
988 -
1001
-
14)
-
D.V. Dimarogonas ,
K.H. Johansson
.
Stability analysis for multi-agent systems using the incidence matrix: quantized communication and formation control.
Automatica
,
7 ,
695 -
700
-
15)
-
H.G. Tanner ,
A. Jadbabaie ,
G.J. Pappas
.
Flocking in fixed and switching networks.
IEEE Trans. Autom. Control
,
5 ,
863 -
868
-
16)
-
J. Lygeros ,
K.H. Johansson ,
S.N. Simić ,
J. Zhang ,
S.S. Sastry
.
Dynamical properties of hybrid automata.
IEEE Trans. Autom. Control
,
1 ,
2 -
17
-
17)
-
C. Godsil ,
G. Royle
.
(2001)
Algebraic graph theory, Graduate Texts in Mathematics.
-
18)
-
A. Ajorlou ,
A. Momeni ,
A.G. Aghdam
.
A class of bounded distributed control strategies for connectivity preservation in multi-agent systems.
IEEE Trans. Autom. Control
,
12 ,
2828 -
2833
-
19)
-
Gennaro, M.C.D., Jadbabaie, A.: `Decentralized control of connectivity for multi-agent systems', Proc. 45th IEEE Conf. on Decision and Control, December 2006, San Diego, CA, USA, p. 3628–3633.
-
20)
-
W. Ren
.
Consensus strategies for cooperative control of vehicle formations.
IET Control Theory Appl.
,
2 ,
505 -
512
-
21)
-
D.V. Dimarogonas ,
K.H. Johansson
.
Bounded control of network connectivity in multi-agent systems.
IET Control Theory Appl.
,
8 ,
1330 -
1338
-
22)
-
S.G. Nersesov ,
P. Ghorbanian ,
A.G. Aghdam
.
Stabilization of sets with application to multi-vehicle coordinated motion.
Automatica
,
9 ,
1419 -
1427
-
23)
-
Spanos, D.P., Murray, R.M.: `Robust connectivity of networked vehicles', Proc. 43rd IEEE Conf. on Decision and Control, December 2004, Atlantis, p. 2893–2898.
-
24)
-
M. Ji ,
M. Egerstedt
.
Distributed coordination control of multiagent systems while preserving connectedness.
IEEE Trans. Autom. Control
,
4 ,
693 -
703
-
25)
-
Zavlanos, M.M., Pappas, G.J.: `Controlling connectivity of dynamic graphs', Proc. 44th IEEE Conf. on Decision and Control, and the European Control Conf., December 2005, Seville, Spain, p. 6388–6393.
-
26)
-
K.D. Do
.
Bounded controllers for formation stabilization of mobile agents with limited sensing ranges.
IEEE Trans. Autom. Control
,
3 ,
569 -
576
-
27)
-
Zavlanos, M.M., Jadbabaie, A., Pappas, G.J.: `Flocking while preserving network connectivity', Proc. 46th IEEE Conf. on Decision and Control, December 2007, New Orleans, p. 2919–2924.
-
28)
-
W. Ren ,
R.W. Beard
.
(2007)
Distributed consensus in multi-vehicle cooperative control: theory and applications.
-
29)
-
D. Zhao ,
S. Li ,
F. Gao ,
Q. Zhu
.
Robust adaptive terminal sliding mode-based synchronized position control for multiple motion axed systems.
IET Control Theory Appl.
,
1 ,
136 -
150
-
30)
-
Y. Liu ,
K.M. Passino
.
Cohesive behaviors of multi-agent systems with information flow constraints.
IEEE Trans. Autom. Control
,
11 ,
1734 -
1748
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cta.2011.0479
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