Consensus of Leader-Following Multi-Agent Systems in Time-Varying Networks via Intermittent Control

다국어 초록 (Multilingual Abstract)

This paper is concerned with the issue of consensus for leader-following multi-agent systems, wherein the agents acting as followers update states based on the information received from the time-varying neighbors and the virtual leader. Moreover, the neighbors of an agent are divided into three types according to their relative position, which may also be changed with time. Consensus protocol is derived mainly by using intermittent control, and based on the Lyapunov stability theory, sufficient conditions for consensus are presented and proved theoretically. Finally, some numerical examples are given to demonstrate the effectiveness of the results.

참고문헌 (Reference)

1 Y. F. Su, "Two consensus problems for discrete-time multi-agent systems with switch-ing network topology" 48 (48): 1988-1997, 2012

2 Chao Liu, "Stabilization of Oscillating Neural Networks with Time-Delay by Intermittent Control" 제어·로봇·시스템학회 9 (9): 1074-1079, 2011

3 Cong Zheng, "Robust Synchronization of Dynamical Network with Impulsive Disturbances and Uncertain Parameters" 제어·로봇·시스템학회 11 (11): 657-665, 2013

4 Yang Liu, "Robust H_∞ Consensus Control of Uncertain Multi-Agent Systems with Time Delays" 제어·로봇·시스템학회 9 (9): 1086-1094, 2011

5 Z. Wang, "Quasi-consensus of second-order leader-following multi-agent systems" 6 (6): 545-551, 2012

6 Y. Wang, "Passivity-based formation control of autonomous underwater vehicles" 6 (6): 518-525, 2012

7 W. Ren, "Multi-vehicle consensus with time-varying reference state" 56 (56): 474-483, 2007

8 J. Cao, "Matrix measure strategies for stability and synchronization of inertial BAM neur-al network with time delays" 53 : 165-172, 2014

9 S. P. Boyd, "Linear Matrix Inequalities in System and Control Theory" SIAM 1994

10 W. Ni, "Leader-following consensus of multi-agent systems under fixed and switch-ing topologies" 59 (59): 209-217, 2010

11 Lixin Gao, "Leader-following Consensus Problem with an Accelerated Motion Leader" 제어·로봇·시스템학회 10 (10): 931-939, 2012

12 H. B. Jiang, "Impulsive consensus in directed networks of identical nonli-near oscillators with switching topologies" 17 (17): 378-387, 2012

13 Y. Zheng, "Distributed consensus of heterogeneous multi-agent systems with fixed and switching topologies" 85 (85): 1967-1976, 2012

14 Y. H. Ni, "Consensus seeking in multi-agent systems with multiplicative measurement noises" 62 (62): 430-437, 2013

15 G. H. Wen, "Consensus of second-order multi-agent systems with delayed nonlinear dynamics and intermittent communications" 86 (86): 322-331, 2013

16 D. M. Xie, "Consensus of second-order discrete-time multi-agent systems with fixed topology" 387 (387): 8-16, 2012

17 J. Qin, "Consensus of mul-tiple second-order vehicles with a time-varying ref-erence signal under directed topology" 47 (47): 1983-1991, 2011

18 Y. Zheng, "Consensus of heterogeneous multi-agent systems" 5 (5): 1881-1888, 2011

19 A. H. Hu, "Consensus of a leader-following multiagent system with negative weights and noises" 8 (8): 114-119, 2014

20 A. Baronchelli, "Consensus in networks of mobile communicating agents" 85 (85): 016113-, 2012

21 G. H. Wen, "Consensus and its L 2-gain performance of multi-agent systems with intermittent information trans-missions" 85 (85): 384-396, 2012

22 Cheng-Lin Liu, "Consensus Analysis for Multiple Autonomous Agents with Input Delay and Communication Delay" 제어·로봇·시스템학회 10 (10): 1005-1012, 2012

23 Y. L. Wang, "Cluster synchronization in nonlinearly coupled delayed networks of nonidentical dynamic systems" 14 (14): 842-851, 2013

24 X. W. Liu, "Cluster synchronization in directed networks via intermittent pinning control" 22 (22): 1009-1020, 2011

25 C. G. Cassandras, "An optimal control approach to the multiagent persistent monitoring problem" 58 (58): 947-961, 2013

26 Huanyu Zhao, "An LMI Approach to Consensus in Second-Order Multi-Agent Systems" 제어·로봇·시스템학회 9 (9): 1111-1115, 2011

27 C. Godsil, "Algebraic Graph Theory" Springer-Verlag 2001

28 P. Gawthrop, "Act-and-wait and intermittent con-trol : some comments" 18 (18): 1195-1198, 2010

29 S. F. Yang, "A new proto-col for finite-time consensus of detail-balanced multi-agent networks" 22 (22): 043134-, 2012

30 L. Cao, "A necessary and sufficient condition for consensus of conti-nuous-time agents over undirected time-varying networks" 56 (56): 1915-1920, 2011