Please wait a minute...
Chin. Phys. B, 2011, Vol. 20(4): 048901    DOI: 10.1088/1674-1056/20/4/048901
INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY Prev   Next  

Consensus pursuit of heterogeneous multi-agent systems under a directed acyclic graph

Yan Jing(闫敬), Guan Xin-Ping(关新平), and Luo Xiao-Yuan(罗小元)
Institute of Electrical Engineering, Yanshan University, Qinhuangdao 066004, China
Abstract  This paper is concerned with the cooperative target pursuit problem by multiple agents based on directed acyclic graph. The target appears at a random location and moves only when sensed by the agents, and agents will pursue the target once they detect its existence. Since the ability of each agent may be different, we consider the heterogeneous multi-agent systems. According to the topology of the multi-agent systems, a novel consensus-based control law is proposed, where the target and agents are modeled as a leader and followers, respectively. Based on Mason's rule and signal flow graph analysis, the convergence conditions are provided to show that the agents can catch the target in a finite time. Finally, simulation studies are provided to verify the effectiveness of the proposed approach.
Keywords:  heterogeneous multi-agent systems      pursuit      consensus      leader–follower  
Received:  01 November 2010      Revised:  26 November 2010      Accepted manuscript online: 
PACS:  89.20.Ff (Computer science and technology)  
  87.85.St (Robotics)  
  89.65.Ef (Social organizations; anthropology ?)  
  02.30.Em (Potential theory)  
Fund: Project supported by the National Basic Research Program of China (Grant No. 2010CB731800), the Key Project of the National Natural Science Foundation of China (Grant No. 60934003), the National Natural Science Foundation of China (Grant No. 61074065), the Key Project for the Natural Science Research of Hebei Education Department, China (Grant No. ZD200908), and the Key Project for the Shanghai Committee of Science and Technology (Grant No. 08511501600).

Cite this article: 

Yan Jing(闫敬), Guan Xin-Ping(关新平), and Luo Xiao-Yuan(罗小元) Consensus pursuit of heterogeneous multi-agent systems under a directed acyclic graph 2011 Chin. Phys. B 20 048901

[1] Duan Z S, Chen G R and Huang L 2008 Phys. Lett. A % 372 3741 bibitem
[2] Tan F X, Guan X P and Liu D R 2008 Chin. Phys. B % 17 120 bibitem
[3] Zhang C X, Li H and Lin P 2008 Chin. Phys. B % 17 4458 bibitem
[4] Qi W, Xu X J and Hai W Y 2009 Chin. Phys. B % 18 4217 bibitem
[5] Lin Z Y, Broucke M and Francis B 2004 IEEE Trans. Autom. Control 49 622 bibitem
[6] Marshall J A, Broucke M and Francis B 2004 IEEE Trans. Autom. Control 49 1963 bibitem
[7] Marshall J A, Broucke M and Francis B 2006 Automatica % 42 3 bibitem
[8] Pavone M 2007 J. Dyn. Syst. Meas. Control 129 633 bibitem
[9] Zheng R H, Lin Z Y and Yan G F 2009 Automatica 45 2699 bibitem
[10] Kim T H 2007 Automatica 43 1426 bibitem
[11] Ding W, Yan G F and Lin Z Y 2010 Automatica % 46 174 bibitem
[12] Shang Y L 2010 Chin. Phys. B 19 070201 bibitem
[13] Couzin I D, Krause J, Franks N R and Levin S A 2005 % Nature 433 513 bibitem
[14] Olfati-Saber R and Murray R M 2004 IEEE Trans. Autom. Control 49 1520 bibitem
[15] Chen G R and Duan Z S 2008 Chaos 18 037102 bibitem
[16] Li Z K, Duan Z S, Chen G R and Huang L 2010 IEEE Trans. Circu. Systems-I 57 213 bibitem
[17] Duan Z S, Liu C and Chen G R 2008 Physica D 237% 1006 bibitem
[18] Semsar-Kazerooni E and Khorasani K 2009 Automatica 45 2205 bibitem
[19] Lawton J, Beard A and Yong B 2003 IEEE Trans. Robot. Autom. 19 933 bibitem
[20] Dusek Z 2010 J. Geom. Phys. 60 687 bibitem
[21] Tanner H and Kumar V 2004 IEEE Trans. Robot. Autom. % 20 443 bibitem
[22] Yoon Y, Shin J, Kim H J, Park Y and Sastry S 2009 % Control Engin. Pract. 17 741 bibitem
[23] Mason S J 1956 Proc. IRE 44 920 bibitem
[24] Bopardikar S D, Bullo F and Hespanha J P 2008 IEEE Trans. Robot. 24 1429 bibitem
[25] Krishnamurthi V 1972 IEEE Trans. Autom. Control % 17 144 endfootnotesize
[1] Fault-tolerant finite-time dynamical consensus of double-integrator multi-agent systems with partial agents subject to synchronous self-sensing function failure
Zhi-Hai Wu(吴治海) and Lin-Bo Xie(谢林柏). Chin. Phys. B, 2022, 31(12): 128902.
[2] Consensus problems on networks with free protocol
Xiaodong Liu(柳晓东) and Lipo Mo(莫立坡). Chin. Phys. B, 2021, 30(7): 070701.
[3] Hybrid-triggered consensus for multi-agent systems with time-delays, uncertain switching topologies, and stochastic cyber-attacks
Xia Chen(陈侠), Li-Yuan Yin(尹立远), Yong-Tai Liu(刘永泰), Hao Liu(刘皓). Chin. Phys. B, 2019, 28(9): 090701.
[4] Group consensus of multi-agent systems subjected to cyber-attacks
Hai-Yun Gao(高海云), Ai-Hua Hu(胡爱花), Wan-Qiang Shen(沈莞蔷), Zheng-Xian Jiang(江正仙). Chin. Phys. B, 2019, 28(6): 060501.
[5] Successive lag cluster consensus on multi-agent systems via delay-dependent impulsive control
Xiao-Fen Qiu(邱小芬), Yin-Xing Zhang(张银星), Ke-Zan Li(李科赞). Chin. Phys. B, 2019, 28(5): 050501.
[6] Energy-optimal problem of multiple nonholonomic wheeled mobile robots via distributed event-triggered optimization algorithm
Ying-Wen Zhang(张潆文), Jin-Huan Wang(王金环), Yong Xu(徐勇), De-Dong Yang(杨德东). Chin. Phys. B, 2019, 28(3): 030501.
[7] H couple-group consensus of stochastic multi-agent systems with fixed and Markovian switching communication topologies
Muyun Fang(方木云), Cancan Zhou(周灿灿), Xin Huang(黄鑫), Xiao Li(李晓), Jianping Zhou(周建平). Chin. Phys. B, 2019, 28(1): 010703.
[8] Mean-square composite-rotating consensus of second-order systems with communication noises
Li-po Mo(莫立坡), Shao-yan Guo(郭少岩), Yong-guang Yu(于永光). Chin. Phys. B, 2018, 27(7): 070504.
[9] Leader-following consensus of discrete-time fractional-order multi-agent systems
Erfan Shahamatkhah, Mohammad Tabatabaei. Chin. Phys. B, 2018, 27(1): 010701.
[10] Tracking consensus for nonlinear heterogeneous multi-agent systems subject to unknown disturbances via sliding mode control
Xiang Zhang(张翔), Jin-Huan Wang(王金环), De-Dong Yang(杨德东), Yong Xu(徐勇). Chin. Phys. B, 2017, 26(7): 070501.
[11] Consensus of multiple autonomous underwater vehicles with double independent Markovian switching topologies and timevarying delays
Zhe-Ping Yan(严浙平), Yi-Bo Liu(刘一博), Jia-Jia Zhou(周佳加), Wei Zhang(张伟), Lu Wang(王璐). Chin. Phys. B, 2017, 26(4): 040203.
[12] Stochastic bounded consensus of second-order multi-agent systems in noisy environment
Hong-Wei Ren(任红卫), Fei-Qi Deng(邓飞其). Chin. Phys. B, 2017, 26(10): 100506.
[13] Asymptotic bounded consensus tracking of double-integratormulti-agent systems with bounded-jerk target based onsampled-data without velocity measurements
Shuang-Shuang Wu(吴爽爽), Zhi-Hai Wu(吴治海), Li Peng(彭力), Lin-Bo Xie(谢林柏). Chin. Phys. B, 2017, 26(1): 018903.
[14] Distributed event-triggered consensus tracking of second-order multi-agent systems with a virtual leader
Jie Cao(曹劼), Zhi-Hai Wu(吴治海), Li Peng(彭力). Chin. Phys. B, 2016, 25(5): 058902.
[15] Consensus for second-order multi-agent systems with position sampled data
Rusheng Wang(王如生), Lixin Gao(高利新), Wenhai Chen(陈文海), Dameng Dai(戴大蒙). Chin. Phys. B, 2016, 25(10): 100202.
No Suggested Reading articles found!