Consensus analysis for leader‐following multi‐agent systems with second‐order individual dynamics and arbitrary sampling

Dai Ming‐Zhe; Xiao Feng; Wei Bo

摘要

Summary xml:id="rnc3799-para-0001">This paper performs a consensus analysis of leader‐following multi‐agent systems with multiple double integrators in the framework of sampled‐data control. Both single‐leader and multiple‐leader scenarios are considered under the assumption of networks with detectable position‐like state information. The coordination tasks are accomplished by a given protocol with the robustness against the change of sampling periods. The sampling periods can be chosen to be of an arbitrary fixed length or large time‐varying length. Under the proposed protocol, we achieve two objectives: (i) in the single leader‐subgroup case, all followers reach an agreement with leaders on states asymptotically and (ii) in the multiple leader‐subgroup case, each follower converges to some convex combination of the final states of all leaders. It is shown that the final state configuration of the convex combination is uniquely determined by the underlying interaction topology, which can be any weakly connected graph. Compared with the existing results on leader‐following networks, the consensus problem and the containment problem are solved in a unified framework with large sampling periods. Some numerical experiments are conducted to illustrate the dynamic behavior of all agents with this protocol. Copyright ? 2017 John Wiley & Sons, Ltd. </abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> <div class="translation abstracttxt"> <span class="zhankaihshouqi fivelineshidden" id="abstract"> <span>机译：</span><abstract xmlns =“http://www.wiley.com/namespaces/wiley”type =“main”xml：id =“rnc3799-abs-0001”xml：lang =“en”> <title type =“main” >摘要</ title> XML：ID =“RNC3799-PARA-0001”>本文在采样数据控制框架中对带有多个双分集的领导者跟随的多代理系统进行共识分析。在具有可检测位置状状态信息的网络的假设下考虑单一领导和多个领导场景。协调任务是由给定的协议完成的，其具有反对采样周期的变化的鲁棒性。采样周期可以选择为任意固定长度或大的时变长度。根据拟议的议定书，我们实现了两个目标：（i）在单一领导者 - 子组案件中，所有追随者在多个领导者 - 子组案件中与渐近和（ii）的领导者达成协议，每个追随者会聚到一些凸组合所有领导者的最终国家。结果表明，凸组合的最终状态配置由底层相互作用拓扑唯一确定，其可以是任何弱连接的图形。与领导者遵循网络的现有结果相比，在具有大型采样期的统一框架中解决了共识问题和遏制问题。进行了一些数值实验以说明所有代理的动态行为与该方案。版权？ 2017年John Wiley＆amp; SONS，LTD。</ p> </ abstract> </span> <span class="z_kbtn z_kbtnclass hoverxs" style="display: none;">展开▼</span> </div> </div> <div class="record"> <h2 class="all_title" id="enpatent33" >著录项</h2> <ul> <li> <span class="lefttit">来源</span> <div style="width: 86%;vertical-align: text-top;display: inline-block;"> <a href='/journal-foreign-21736/'>《International Journal of Robust and Nonlinear Control》</a> <b style="margin: 0 2px;">|</b><span>2017年第18期</span><b style="margin: 0 2px;">|</b><span>共15页</span> </div> </li> <li> <div class="author"> <span class="lefttit">作者</span> <p id="fAuthorthree" class="threelineshidden zhankaihshouqi"> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Dai Ming‐Zhe&option=202" target="_blank" rel="nofollow">Dai Ming‐Zhe;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Xiao Feng&option=202" target="_blank" rel="nofollow">Xiao Feng;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Wei Bo&option=202" target="_blank" rel="nofollow">Wei Bo;</a> </p> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zkzz" style="display: none;">展开▼</span> </div> </li> <li> <div style="display: flex;"> <span class="lefttit">作者单位</span> <div style="position: relative;margin-left: 3px;max-width: 639px;"> <div class="threelineshidden zhankaihshouqi" id="fOrgthree"> <p>Research Institute of Intelligent Control and SystemsHarbin Institute of TechnologyHarbin 150001 China;</p> <p>Research Institute of Intelligent Control and SystemsHarbin Institute of TechnologyHarbin 150001 China;</p> <p>Research Institute of Intelligent Control and SystemsHarbin Institute of TechnologyHarbin 150001 China;</p> </div> <span class="z_kbtnclass z_kbtnclassall hoverxs" id="zhdw" style="display: none;">展开▼</span> </div> </div> </li> <li > <span class="lefttit">收录信息</span> <span style="width: 86%;vertical-align: text-top;display: inline-block;"></span> </li> <li> <span class="lefttit">原文格式</span> <span>PDF</span> </li> <li> <span class="lefttit">正文语种</span> <span>eng</span> </li> <li> <span class="lefttit">中图分类</span> <span><a href="https://www.zhangqiaokeyan.com/clc/7742.html" title="自动化系统">自动化系统;</a></span> </li> <li class="antistop"> <span class="lefttit">关键词</span> <p style="width: 86%;vertical-align: text-top;"> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=multi‐agent systems&option=203" rel="nofollow">multi‐agent systems;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=sampled‐data consensus&option=203" rel="nofollow">sampled‐data consensus;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=leader‐following topologies&option=203" rel="nofollow">leader‐following topologies;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=arbitrary sampling&option=203" rel="nofollow">arbitrary sampling;</a> </p> <div class="translation"> 机译：多代理系统;采样数据共识;领导者之后的拓扑;任意抽样; </div> </li> </ul> </div> </div> <div class="literature cardcommon"> <div class="similarity "> <h3 class="all_title" id="enpatent66">相似文献</h3> <div class="similaritytab clearfix"> <ul> <li class="active" 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2011</span> </span> </div> </li> </ul> <ul style="display: none;"> <li> <div> <b>1. </b><a class="enjiyixqcontent" href="/patent-detail/061203474468.html">一种保障动物园管理员系统快速完成领导者选举的方法，装置及系统</a> <b>[P]</b> . <span> 中国专利： CN106161533B </span> <span> . 2019.09.10</span> </div> </li> <li> <div> <b>2. </b><a class="enjiyixqcontent" href="/patent-detail/06120108663598.html">一种保障动物园管理员系统快速完成领导者选举的方法，装置及系统</a> <b>[P]</b> . <span> 中国专利： CN106161533A </span> <span> . 2016-11-23</span> </div> </li> <li> <div> <b>3. </b><a class="enjiyixqcontent" href="/patent-detail/06130449914841.html">Multi-cell analysis chip with reagents attached to individual wells by selectively positioned binders, used particularly for pharmacological screening of DNA samples</a> <b>[P]</b> . <span> 外国专利：  FR2784466A1 </span> <span> . 2000-04-14</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：多细胞分析芯片，通过选择性定位的粘合剂将试剂附着到各个孔上，特别用于DNA样品的药理学筛选 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130409429250.html">method for analyzing a DNA sample, method for preparing a set of coded DNA analysis matrices, DNA analysis reagent, DNA analysis multiplex reagent and DNA analysis kit</a> <b>[P]</b> . <span> 外国专利：  BRPI0819053B1 </span> <span> . 2017-02-07</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：DNA样品的分析方法，一套编码DNA分析基质的方法，DNA分析试剂，DNA分析多重试剂和DNA分析试剂盒 </span> </p> </li> <li> <div> <b>5. </b><a class="enjiyixqcontent" href="/patent-detail/06130415186595.html">Method for analyzing a DNA sample, method for preparing a set of coded DNA analysis matrices, DNA analysis reagent, DNA analysis multiplex reagent and DNA analysis kit</a> <b>[P]</b> . <span> 外国专利：  BRPI0819053A2 </span> <span> . 2015-05-05</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: initial;"> <span>机译：用于分析DNA样品的方法，用于制备一套编码的DNA分析基质的方法，DNA分析试剂，DNA分析多重试剂和DNA分析试剂盒 </span> </p> </li> </ul> </div> </div> </div> <div class="theme cardcommon" style="overflow: auto;display:none"> <h3 class="all_title" id="enpatent55">相关主题</h3> <ul id="subject"> </ul> </div> </div> </div> </div> <div class="right rightcon"> <div class="details_img cardcommon clearfix" style="margin-bottom: 10px;display:none;" > </div> </div> </div> <div id="thesis_get_original1" class="downloadBth" style="bottom: 19px;z-index: 999;" onclick="ywcd('0704023067266','4',7,2,1,'',this,24)" class="delivery" prompt="010401" title="通过人工服务将文献原文发送至邮箱" >获取原文</div> <div class="journalsub-pop-up" style="display: none"> <div class="journal-sub"> <h2>期刊订阅</h2> <img src="https://cdn.zhangqiaokeyan.com/img/loginclose.png" alt="关闭" onclick="$('.journalsub-pop-up').hide()"> 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