Consensus Control for High-Order Multiagent Systems With Multiple Nonconvex State Constraints

被引:0
作者
Lin, Yuanqi [1 ]
Lin, Peng [1 ]
Dong, Hairong [2 ]
机构
[1] Cent South Univ, Sch Automat, Changsha 410083, Peoples R China
[2] Beijing Jiaotong Univ, Sch Automat & Intelligence, Beijing 100044, Peoples R China
来源
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS | 2024年 / 11卷 / 04期
基金
中国国家自然科学基金;
关键词
Vectors; Time-varying systems; Multi-agent systems; Vehicle dynamics; Network systems; Lyapunov methods; Consensus control; Constrained consensus; high-order multiagent systems; nonconvex constraints; DISTRIBUTED CONSENSUS; INPUT; ALGORITHMS; TOPOLOGIES;
D O I
10.1109/TCNS.2024.3367458
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This article addresses a consensus problem for high-order multiagent systems with multiple nonconvex state constraints. The main challenge is how to deal with different kinds of nonlinearities caused by the nonconvex state constraints and the complex relevance of the multiple kinds of state constraints. To solve the consensus problem with multiple nonconvex state constraints, we propose a distributed control algorithm for the discrete-time high-order multiagent systems and introduce time-varying scaling factors to transform the original constrained system into an equivalent time-varying one. Then, by constructing a Lyapunov function and utilizing the matrix norm of the time-varying system matrix, it is proved that consensus can be reached while the states of agents are constrained to lie in the nonconvex sets. Finally, numerical examples are included to demonstrate the effectiveness of conclusions.
引用
收藏
页码:1891 / 1898
页数:8
相关论文
共 25 条
  • [1] Moreau L., Stability of multiagent systems with time-dependent communication links, IEEE Trans. Autom. Control, 50, 2, pp. 169-182, (2005)
  • [2] Cao M., Morse A.S., Anderson B.D.O., Reaching an agreement usingdelayedinformation, inProc.IEEE45thConf.Decis.Control, pp. 3375-3380, (2006)
  • [3] Hong Y., Gao L., Cheng D., Hu J., Lyapunov-based approach to multiagent systems with switching jointly connected interconnection, IEEE Trans. Autom. Control, 52, 5, pp. 943-948, (2007)
  • [4] Xiao F., Wang L., State consensus for multi-agent systems with switching topologies and time-varying delays, Int. J. Control, 79, 10, pp. 1277-1284, (2006)
  • [5] Qin J., Gao H., Zheng W.X., Second-order consensus for multi-agent systems with switching topology and communication delay, Syst. Control Lett., 60, 6, pp. 390-397, (2011)
  • [6] Ren W., Atkins E., Distributed multi-vehicle coordinated control via local information exchange, Int. J. Robust Nonlinear Control, 17, 10-11, pp. 1002-1033, (2007)
  • [7] Liu K., Ji Z., Dynamic event-triggered consensus of general linear multi-agent systems with adaptive strategy, IEEE Trans. Circuits Syst. II: Exp. Briefs, 69, 8, pp. 3440-3444, (2022)
  • [8] Ren W., Moore K., Chen Y., High-order consensus algorithms in cooperativevehiclesystems, inProc.IEEEInt.Conf.Netw.,Sens.Control, pp. 457-462, (2006)
  • [9] Zhang W., Zeng D., Qu S., Dynamic feedback consensus control of a class of high-order multi-agent systems, IET Control Theory Appl, 4, 10, pp. 2219-2222, (2010)
  • [10] He W., Cao J., Consensus control for high-order multi-agent systems, IET Control Theory Appl, 5, 1, pp. 231-238, (2011)