[1]蒲兴成,张玲侠.基于合作?竞争关系马尔可夫切换下异质多智能体系统均方二分组一致研究[J].智能系统学报,2023,18(4):803-812.[doi:10.11992/tis.202201045]
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]
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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]
基于合作?竞争关系马尔可夫切换下异质多智能体系统均方二分组一致研究
《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
18
期数:
2023年第4期
页码:
803-812
栏目:
学术论文—智能系统
出版日期:
2023-07-15
- Title:
- Mean square couple-group consensus for heterogeneous multiagent systems based on Markov switching and cooperative-competitive relation
- Keywords:
- multiagent; Markov; heterogeneous systems; switching topology; cooperative-competitive relation; SIA matrix; mean square couple-group consensus; control protocol
- 分类号:
- TP273
- 摘要:
- 针对马尔可夫切换下离散和连续异质多智能体系统均方二分组一致问题，本文分别构造了2类包含合作竞争关系和马尔可夫切换拓扑结构异质多智能体系统均方二分组一致协议。利用随机不可约非周期矩阵(stochastic indecomposable and aperiodic matrices, SIA) 相关性质、图论代数和矩阵分析等理论，得到相关系统实现均方二分组一致的充分必要条件。仿真实例说明了理论结果的有效性。
- 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.
- 参考文献/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.
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备注/Memo
收稿日期:2022-01-26。
基金项目:国家自然科学基金项目（61876200）；安徽省质量工程项目（2022cxtd162），安徽省自然科学基金项目（2008085MG227）;铜陵学院人才引进项目（R23010）；安徽省重点研究与开发计划项目（202004a05020010）；重庆市教委项目（KJZD-M202001901)；重庆市科委项目（cstc2020jcyj-msxmX0895)；重庆市研究生创新项目（CYS21312）.
作者简介:蒲兴成，教授，博士，主要研究方向为多智能体系统、群智能算法和随机系统。主持和参与市级以上科研项目10余项，发表学术论文50余篇，出版学术著作和教材各2部。;张玲侠，硕士研究生，主要研究方向为多智能体系统。
通讯作者:蒲兴成.E-mail:1662598286@qq.com
更新日期/Last Update:
1900-01-01