Directed spanning tree–based adaptive protocols for second‐order consensus of multiagent systems

Yu Zhiyong; Jiang Haijun; Huang Da; Hu Cheng

摘要

Summary >This paper discusses the consensus problem of second‐order multiagent systems with nonlinear dynamics. A directed spanning tree–based adaptive control protocol is developed, which overcomes the drawback that the spectrum of the Laplacian matrix must be known a priori. A scheme for reordering the nodes is proposed. Applying the developed method and the Lyapunov stability theory, some distributed adaptive laws are designed in the directed network. It is found that the consensus can be achieved by randomly choosing a directed spanning tree and using the developed distributed adaptive law. Finally, an example is presented to illustrate the theoretical analysis. </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：lang =“en”xml：id =“rnc4009-abs-0001”> <标题类型=“main” >摘要</ title> >本文讨论了具有非线性动力学二阶多算系统的共识问题。开发了一种定向的基于树木的自适应控制协议，其克服了拉普拉斯矩阵必须知道先验的缺点。提出了一种重新排序节点的方案。应用开发的方法和Lyapunov稳定性理论，一些分布式的自适应法则设计在定向网络中。发现可以通过随机选择定向的生成树并使用发达的分布式自适应法来实现共识。最后，提出了一个例子来说明理论分析。</ 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>2018年第6期</span><b style="margin: 0 2px;">|</b> <span>共19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=Yu Zhiyong&option=202" target="_blank" rel="nofollow">Yu Zhiyong;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Jiang Haijun&option=202" target="_blank" rel="nofollow">Jiang Haijun;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Huang Da&option=202" target="_blank" rel="nofollow">Huang Da;</a> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Hu Cheng&option=202" target="_blank" rel="nofollow">Hu Cheng;</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>College of Mathematics and System SciencesXinjiang UniversityUrumqi China;</p> <p>College of Mathematics and System SciencesXinjiang UniversityUrumqi China;</p> <p>College of Mathematics and System SciencesXinjiang UniversityUrumqi China;</p> <p>College of Mathematics and System SciencesXinjiang UniversityUrumqi 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=adaptive control&option=203" rel="nofollow">adaptive control;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=consensus&option=203" rel="nofollow">consensus;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=directed spanning tree&option=203" rel="nofollow">directed spanning tree;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=multiagent systems&option=203" rel="nofollow">multiagent systems;</a> </p> <div class="translation"> 机译：自适应控制;共识;定向生成树;多读系统; </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" >外文文献</li> <li >中文文献</li> <li >专利</li> </ul> </div> <div class="similarity_details"> <ul > <li> <div> <b>1. </b><a 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class="enjiyixqcontent" href="/patent-detail/06130412279451.html">Method and network system of converting a layer two network from a spanning tree protocol mode to a routed mesh mode without a spanning tree protocol</a> <b>[P]</b> . <span> 外国专利：  US9231831B2 </span> <span> . 2016-01-05</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：在没有生成树协议的情况下将第二层网络从生成树协议模式转换为路由网状模式的方法和网络系统 </span> </p> </li> <li> <div> <b>4. </b><a class="enjiyixqcontent" href="/patent-detail/06130412151780.html">DIRECTING TRAFFIC IN AN EDGE NETWORK ELEMENT OPERABLE TO PERFORM LAYER 2 DATA FORWARDING AND SUPPORTING ANY OF VARIOUS SPANNING TREE PROTOCOLS</a> <b>[P]</b> . <span> 外国专利：  IN2013DN07120A </span> <span> . 2016-06-10</span> </div> <p class="zwjiyix translation" style="max-width: initial;height: auto;word-break: break-all;white-space: initial;text-overflow: initial;overflow: 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