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不确定二阶多智能体系统的鲁棒最优一致
引用本文:周艳杰,曹显兵,莫立坡. 不确定二阶多智能体系统的鲁棒最优一致[J]. 数学的实践与认识, 2012, 42(21): 183-189
作者姓名:周艳杰  曹显兵  莫立坡
作者单位:北京工商大学理学院,北京,100048
基金项目:北京市属高校人才强教计划项目,国家自然科学基金
摘    要:
针对不确定二阶多智能体系统,研究了其鲁棒最优一致性问题.首先,基于每个智能体所获得的邻居信息,设计了一个使多智能体系统达到一致的控制协议.其次,研究了多智能体系统的最优一致性问题,给出了系统在满足一定性能指标下达到一致的条件.再次,基于该条件,利用Schur补引理和线性矩阵不等式技术,给出了不确定系统达到鲁棒最优一致的条件.最后,通过仿真验证了所得结果的可行性.

关 键 词:多智能体  一致性  不确定性  保代价性能

The Robust Optimal Consensus of Uncertain Second-order Multi-agent Systems
ZHOU Yan-jie , CAO Xian-bing , MO Li-po. The Robust Optimal Consensus of Uncertain Second-order Multi-agent Systems[J]. Mathematics in Practice and Theory, 2012, 42(21): 183-189
Authors:ZHOU Yan-jie    CAO Xian-bing    MO Li-po
Affiliation:(School of Science,Beijing Technology and Business University,Beijing 100048,China)
Abstract:
For the uncertain second-order multi-agent systems,the robust optimal consistent problem is considered.Firstly,a protocol is proposed based on the neighbor information receiving from each other agent,which can make multi-agent systems achieve consensus. Secondly,the optimal consistent problem is investigated for multi-agent systems and the consensus condition is given when the system satisfies some performance index.Then,based on this condition,the robust optimal consistent condition is given for the system with uncertainty by using the Schur lemma and technology of linear matrix inequality.Finally, simulation results are provided to demonstrate the effectiveness of presented results.
Keywords:Multi-agent  consensus  uncertainty  cost performance
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