[1]PU Xingcheng,ZHANG Lingxia.Mean square couple-group consensus for heterogeneous multiagent systems based on Markov switching and cooperative-competitive relation[J].CAAI Transactions on Intelligent Systems,2023,18(4):803-812.[doi:10.11992/tis.202201045]
Copy

Mean square couple-group consensus for heterogeneous multiagent systems based on Markov switching and cooperative-competitive relation

CAAI Transactions on Intelligent Systems[ISSN 1673-4785/CN 23-1538/TP] Volume: 18 Number of periods: 2023 4 Page number: 803-812 Column: 学术论文—智能系统 Public date: 2023-07-15
Title:
Mean square couple-group consensus for heterogeneous multiagent systems based on Markov switching and cooperative-competitive relation
Author(s):
PU Xingcheng1; 2;  ZHANG Lingxia2
1. School of Mathematics and Computer Science, Tongling University, Tongling 244061, China;
2. School of Automation, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Keywords:
multiagent; Markov; heterogeneous systems; switching topology; cooperative-competitive relation; SIA matrix; mean square couple-group consensus; control protocol
CLC:
TP273
DOI:
10.11992/tis.202201045
Abstract:
In order to solve the problem of mean square couple-group consensus of discrete and continuous heterogeneous multiagent systems under Markov switching, this paper respectively constructs two kinds of mean square couple-group consensus protocols of heterogeneous multi-agent systems (HMASs), including cooperative competition relationship and Markov switching topology heterogeneous multiagent systems. Based on related properties of stochastic irreducible aperiodic (SIA) matrix, graph theory algebra and matrix analysis, the necessary and sufficient conditions are obtained to realize mean square couple-group consensus. Simulation examples prove effectiveness of the result.
References:
[1] WEI Ren. Multi-vehicle consensus with a time-varying reference state[J]. Systems & control letters, 2007, 56(7/8): 474–483.
[2] CORTES J. Coverage optimization and spatial load balancing by robotic sensor networks[J]. IEEE transactions on automatic control, 2010, 55(3): 749–754.
[3] BREZHNEV R V, MAL’TSEV E A. An ontological spatial monitoring system for agricultural land monitoring[J]. Pattern recognition and image analysis, 2015, 25(2): 201–208.
[4] QU Yi, XU Haopeng, SONG Cheng, et al. Coverage control for mobile sensor networks with time-varying communication delays on a closed curve[J]. Journal of the Franklin Institute, 2020, 357(17): 12109–12124.
[5] XIE Dongmei. Necessary and sufficient condition for the group consensus of multi-agent systems[J]. Applied mathematics and computation, 2014, 243: 870–878.
[6] ZHAO Huanyu. Couple-group consensus for second-order multi-agent systems with fixed and stochastic switching topologies[J]. Applied mathematics and computation, 2014, 232: 595–605.
[7] WANG Qiang, WANG Yuzhen. Cluster synchronization of a class of multi-agent systems with a bipartite graph topology[J]. Science China information sciences, 2014, 57(1): 1–11.
[8] HU Hongxiang, YU Wenwu, WEN Guanghui, et al. Reverse group consensus of multi-agent systems in the cooperation-competition network[J]. IEEE transactions on circuits and systems I:regular papers, 2016, 63(11): 2036–2047.
[9] 周瑞敏, 司文杰, 耿则勋. 二阶多智能体编队及碰撞避免控制[J]. 控制工程, 2021, 28(11): 2223–2229
ZHOU Ruimin, SI Wenjie, GENG Zexun. Formation control of second-order multi-agent systems with collision avoidance[J]. Control engineering of China, 2021, 28(11): 2223–2229
[10] MA Qian, XU Shengyuan. Consensusability of first-order multiagent systems under distributed PID controller with time delay[J]. IEEE transactions on neural networks and learning systems, 2022, 33(12): 7908–7912.
[11] LENG Hui, WU Zhaoyan, ZHAO Yi. Group consensus in second-order multi-agent systems with nonlinear dynamics[J]. International journal of modern physics C, 2021, 32(5): 2150071.
[12] JIANG Yiliu. Couple-group consensus for discrete-time heterogeneous multiagent systems with cooperative-competitive interactions and time delays[J]. Neurocomputing, 2018, 319: 92–101.
[13] JI Lianghao, YU Xinghuo, LI Chaojie. Group consensus for heterogeneous multiagent systems in the competition networks with input time delays[J]. IEEE transactions on systems, man, and cybernetics:systems, 2020, 50(11): 4655–4663.
[14] PU Xingcheng, ZHAO Longlong, XIONG Chaowen. Weighted group consensus for discrete-time heterogeneous multi-agent systems in the cooperative-competitive network with time delays[J]. IEEE access, 2019, 7: 123679–123688.
[15] 赵玮, 任凤丽. 基于牵制控制的多智能体系统的有限时间与固定时间一致性[J]. 应用数学和力学, 2021, 42(3): 299–307
ZHAO Wei, REN Fengli. Finite time and fixed time consistency of multi-agent system based on containment control[J]. Applied mathematics and mechanics, 2021, 42(3): 299–307
[16] 冀秀坤, 谢广明, 文家燕, 等. 含时延约束的多智能体系统二分一致性[J]. 智能系统学报, 2020, 15(4): 780–786
JI Xiukun, XIE Guangming, WEN Jiayan, et al. Binary consistency of multi-agent systems with delay constraints[J]. CAAI transactions on intelligent systems, 2020, 15(4): 780–786
[17] ZONG Xiaofeng, LI Tao, ZHANG Jifeng. Consensus control of second-order delayed multiagent systems with intrinsic dynamics and measurement noises[J]. International journal of robust and nonlinear control, 2018, 28(16): 5050–5070.
[18] SONG Ge, TAO Gang. Adaptive leader-following state consensus of multiagent systems with switching topology[J]. International journal of adaptive control and signal processing, 2018, 32(10): 1508–1528.
[19] PU Xingcheng. Couple-group consensus for heterogeneous MASs under switched topologies in cooperative-competitive systems: a hybrid pinning and delta operator skills[J]. Neurocomputing, 2021, 441: 335–349.
[20] MA Dan. Switching scheme based on ADT for packet dropout compensating[C]//Proceedings of 2013 IEEE International Conference on Service Operations and Logistics, and Informatics. Piscataway: IEEE, 2013: 576?580.
[21] CHENG Peng. Asynchronous fault detection filtering for piecewise homogenous Markov jump linear systems via a dual hidden Markov model[J]. Mechanical systems and signal processing, 2021, 151: 107353.
[22] EICKELER S, MüLLER S, RIGOLL G. Recognition of JPEG compressed face images based on statistical methods[J]. Image and vision computing, 2000, 18(4): 279–287.
[23] MENG Min, LIU Lu, FENG Gang. Output consensus for heterogeneous multiagent systems with Markovian switching network topologies[J]. International journal of robust and nonlinear control, 2018, 28(3): 1049–1061.
[24] LI Mengling, DENG Feiqi. Necessary and sufficient conditions for consensus of continuous-time multiagent systems with Markovian switching topologies and communication noises[J]. IEEE transactions on cybernetics, 2020, 50(7): 3264–3270.
[25] LIU Zili. Cooperative output regulation problem of discrete-time linear multi-agent systems with Markov switching topologies[J]. Journal of the Franklin Institute, 2020, 357(8): 4795–4816.
[26] XIE Dongmei, CHENG Yongli. Bounded consensus tracking for sampled-data second-order multi-agent systems with fixed and Markovian switching topology[J]. International journal of robust and nonlinear control, 2015, 25(2): 252–268.
[27] WOLFOWITZ J. Products of indecomposable, aperiodic, stochastic matrices[J]. Proceedings of the American mathematical society, 1963, 14(5): 733–737.
[28] REN Wei, BEARD R W. Distributed consensus in multi-vehicle cooperative control: theory and applications[M]. London: Springer, 2008.
[29] REN Wei, BEARD R W. Consensus seeking in multiagent systems under dynamically changing interaction topologies[J]. IEEE transactions on automatic control, 2005, 50(5): 655–661.
Similar References:

Memo

-

Last Update: 1900-01-01

Copyright © CAAI Transactions on Intelligent Systems