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This study addresses the consensus tracking problem of linear multi-agent systems under a networked detectability condition with reduced-order protocols. The communication subgraph among followers is undirected and connected. It is assumed that only partial relative state information of the leader can be obtained by each follower. The networked detectability condition only requires that the leader is jointly detectable to all followers, without any detectability requirement on an individual follower. Under the assumption that the system is neurally stable, distributed observer-type consensus protocols are constructed for both continuous- and discrete-time linear multi-agent systems. By using tools from matrix theory and linear system analysis, some sufficient conditions are derived to reach consensus tracking. One favourable feature of this study is that the traditional detectability condition for an individual system is extended to the networked case and in contrast to the relevant available results, reduced-order observers are presented to reduce information redundancy. Simulation examples are given to illustrate the theoretical results.
References
-
-
1)
-
20. Zhang, H., Leiws, F.L., Das, A.: ‘Optimal design for synchronization of cooperative systems: State feedback, observer and output feedback’, IEEE Trans. Autom. Control, 2011, 47, (4), pp. 1948–1952 (doi: 10.1109/TAC.2011.2139510).
-
2)
-
12. Wen, G., Duan, Z., Chen, G., Yu, W.: ‘Consensus tracking of multi-agent systems with Lipschitz-type node dynamics and switching topologies’, IEEE Trans. Circuits Syst. I, Reg. Papers, 2014, 61, (2), pp. 499–511 (doi: 10.1109/TCSI.2013.2268091).
-
3)
-
K. You ,
L. Xie
.
Network topology and communication data rate for consensusability of discrete-time multi-agent systems.
IEEE Trans. Autom. Control
,
10 ,
2262 -
2275
-
4)
-
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
-
5)
-
W. Ren ,
R.W. Beard ,
E.M. Atkins
.
Information consensus in multivehicle cooperative control.
IEEE Control Syst. Mag.
,
2 ,
71 -
82
-
6)
-
13. Wen, G., Li, Z., Duan, Z., Chen, G.: ‘Distributed consensus control for linear multi-agent systems with discontinuous observations’, Int. J. Control, 2013, 86, (2), pp. 95–106 (doi: 10.1080/00207179.2012.719637).
-
7)
-
H. Su ,
G. Chen ,
X. Wang ,
Z. Lin
.
Adaptive second-order consensus of networked mobile agents with nonlinear dynamics.
Automatica
,
2 ,
368 -
375
-
8)
-
18. Wen, G., Hu, G., Yu, W., Cao, J., Chen, G.: ‘Consensus tracking for higher-order multi-agent systems with switching directed topologies and occasionally missing control inputs’, Syst. Control Lett., 2013, 62, (12), pp. 1151–1158 (doi: 10.1016/j.sysconle.2013.09.009).
-
9)
-
T. Li ,
J. Zhang
.
Mean square average-consensus under measurement noises and fixed topologies: necessary and sufficient conditions.
Automatica
,
1929 -
1936
-
10)
-
22. Hu, G.: ‘Robust consensus tracking of a class of second-order multi-agent dynamic systems’, Syst. Control Lett., 2012, 6, (1), pp. 134–142 (doi: 10.1016/j.sysconle.2011.10.004).
-
11)
-
U.A. Khan ,
J.M.F. Moura
.
Distributing the Kalman filter for large-scale systems.
IEEE Trans. Signal Process.
,
10 ,
4919 -
4935
-
12)
-
W.W. Yu ,
G.R. Chen ,
M. Cao
.
Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems.
Automatica
,
1089 -
1095
-
13)
-
R. Olfati-Saber ,
R.M. Murray
.
Consensus problems in networks of agents with switching topology and time-delays.
IEEE Trans. Autom. Control
,
9 ,
1520 -
1533
-
14)
-
Y. Hong ,
G. Chen ,
L. Bushnell
.
Distributed observers design for leader-following control of multi-agent networks.
Automatica
,
3 ,
846 -
850
-
15)
-
14. Yu, W., Chen, G., Cao, M., Kurths, J.: ‘Second-order consensus for multiagent systems with directed topologies and nonlinear dynamics’, IEEE Trans. Syst., Man Cybern. B, Cybern., 2009, 40, (3), pp. 881–891.
-
16)
-
35. Meng, Z., Zhao, Z., Lin, Z.: ‘On global leader-following consensus of identical linear dynamic systems subject to actuator saturation’, Syst. Control Lett., 2013, 62, (2), pp. 132–142 (doi: 10.1016/j.sysconle.2012.10.016).
-
17)
-
C.Q. Ma ,
J.F. Zhang
.
Necessary and sufficient conditions for consensusability of linear multi-agent systems.
IEEE Trans. Autom. Control
,
5 ,
1263 -
1268
-
18)
-
R. Olfati-Saber ,
J.A. Fax ,
R.M. Murray
.
Consensus and cooperation in networked multi-agent systems.
Proc. IEEE.
,
1 ,
215 -
233
-
19)
-
23. Diao, M., Duan, Z., Wen, G.: ‘Consensus tracking of linear multi-agent systems under networked observability conditions’, Int. J. Control, .
-
20)
-
W. Ren ,
R.W. Beard
.
Consensus seeking in multiagent systems under dynamically changing interaction topologies.
IEEE Trans. Autom. Control
,
5 ,
655 -
661
-
21)
-
19. Su, Y., Huang, J.: ‘Two consensus problems for discrete-time multi-agent systems with switching network topology’, Automatica, 2012, 48, (9), pp. 1988–1997 (doi: 10.1016/j.automatica.2012.03.029).
-
22)
-
Z. Li ,
Z. Duan ,
G. Chen
.
Consensus of linear multi-agent systems with reduced-order observer-based protocols.
Syst. Control Lett.
,
7 ,
510 -
516
-
23)
-
12. Cao, Y., Ren, W.: ‘Distributed coordinated tracking with reduced interaction via a variable structure approach’, IEEE Trans. Autom. Control, 2012, 57, (1), pp. 33–48 (doi: 10.1109/TAC.2011.2146830).
-
24)
-
Z.K. Li ,
Z.S. Duan ,
G.R. Chen ,
L. Huang
.
Consensus of multi-agent systems and synchronization of complex networks: a unified viewpoint.
IEEE Trans. Cir. Syst. I, Reg. Papers
,
1 ,
213 -
224
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