二阶非线性多智能体系统的输出反馈同步控制

王 巍, 王 丹, 彭周华

大连海事大学学报 ›› 2015, Vol. 41 ›› Issue (4) : 53-58.

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大连海事大学学报 ›› 2015, Vol. 41 ›› Issue (4) : 53-58.
控制

二阶非线性多智能体系统的输出反馈同步控制

  • 王  巍1,2, 王  丹1*, 彭周华1
作者信息 +

Output feedback synchronization control of second-order nonlinear multi-agent systems

  • WANG Wei1,2, WANG Dan 1*, PENG Zhou-hua1
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文章历史 +

摘要

针对一类具有“领导者”的二阶非线性多智能体系统,提出一种输出反馈同步控制算法.该算法采用模糊逻辑系统逼近未知非线性函数,将动态面控制与指定性能控制相结合,降低了控制器设计的复杂性,而且保证了系统的暂态性能.稳定性分析证明了在多智能体系统状态不完全可测情形下,“跟随者”输出收敛于“领导者”输出的较小邻域内,并且同步误差始终保持在指定界内.以船舶航向同步控制为例,仿真验证了算法的有效性.

Abstract

An output feedback synchronization control was proposed for second-order nonlinear multi-agent systems with a leader. By using fuzzy logic systems to approximate unknown functions and combining dynamic surface control with prescribed performance control, the algorithm can not only reduce the controller complexity, but also guarantee the system transient performance. The stability analysis shows that the outputs of all followers converge to a small neighborhood of the leader with immeasurable system states, and synchronization errors remain in the predefined bounds. At last, simulations on the synchronization of autopilots demonstrate the effectiveness of the proposed algorithm.

关键词

多智能体系统 / 输出反馈 / 同步控制 / 动态面控制 / 指定性能控制

Key words

multi-agent systems / output feedback / synchronization / dynamic surface control / prescribed performance control

引用本文

导出引用
王 巍, 王 丹, 彭周华. 二阶非线性多智能体系统的输出反馈同步控制[J]. 大连海事大学学报. 2015, 41(4): 53-58
WANG Wei, WANG Dan, PENG Zhou-hua. Output feedback synchronization control of second-order nonlinear multi-agent systems[J]. Journal of Dalian Maritime University. 2015, 41(4): 53-58

参考文献

[1]FAX J A,MURRAY R M.Information flow and cooperative control of vehicle formations[J].IEEE Transactions on Automatic Control,2004,49(9): 1465–1476.
[2]REN Wei.Multi-vehicle consensus with a time-varying reference state[J].Systems & Control Letters,2007,56(7-8):474-483.
[3]HONG Yi-guang,CHEN Guan-rong,BUSHNELL L.Distributed observers design for leader-following control of multi-agent networks,Automatica[J].2008,44(3):846-850.
[4]罗伟林,邹早建,李铁山.船舶航向非线性系统鲁棒跟踪控制[J].控制理论与应用,2009,26(8):893-895.
LUO Wei-lin,ZOU Zao-jian,LI Tie-shan.Robust tracking control of nonlinear ship steering[J]. Journal of Control Theory and Applications,2009,6(8):893-895.(in Chinese)
[5]卜仁祥,刘正江,李铁山.船舶航向非线性输出反馈控制[J].大连海事大学学报,2007,33(2): 84-87.
BU Ren-xiang,LIU Zheng-jiang,LI Tie-shan.Nonlinear output feedback control for ships’ course[J].Journal of Dalian Maritime University,2007,33(2):84-87.(in Chinese)
[6]YU Wen-wu,REN Wei,ZHENG Wen-xing,et al. Designing distributed control gains for consensus in multi-agent systems with second-order nonlinear dynamics[J].Automatica,2013,49(7): 2107-2115.
[7]YU Wen-wu, CHEN Guan-rong, CAO Miao, et al. Second-order consensus for multi-agent systems with directed topologies and nonlinear dynamics[J].IEEE Transactions on Systems, Man, and Cybernetics-Part B:Cybernetics,2010,40(3): 881-891.
[8]DAS A, LEWIS F L.Cooperative adaptive control for synchronization of second-order systems with unknown nonlinearities[J].International Journal of Robust and Nonlinear Control,2011,21(13):1509-1524.
[9]HU Guo-qiang.Robust consensus tracking for an integrator-type multiagent systems with disturbances and unmodelled dynamics[J]. International Journal of Control,2011,84(1):1-8.
[10]WANG Dan,HUANG Jie.Adaptive neural network control for a class of uncertain nonlinear systems in pure-feedback form[J].Automatica 2002,38(8):1365-1372.
[11]WANG Li-xin.Adaptive fuzzy systems and control[M].Englewood Cliffs,NJ:Prentice-Hall,1994.
[12]BECHLIOULIS C P,ROVITHAKIS G A.Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance[J].IEEE Transactions on Automatic Control,2008,53(9): 2090-2099.

基金

国家自然科学基金资助项目(51209026;61273137);辽宁省教育厅科学研究一般项目(2013202;2014244);中央高校基本科研业务费专项资金资助项目(3132015021;3132014321).

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