Output‐based disturbance rejection control for 1‐D anti‐stable Schr?dinger equation with boundary input matched unknown disturbance

Zhou Huacheng

摘要

Summary xml:id="rnc3827-para-0001">In this paper, we are concerned with the output feedback control design for a system (plant) described by a boundary controlled anti‐stable one‐dimensional Schr?dinger equation. Our output measure signals are the displacements at both side. An untraditional infinite‐dimensional disturbance estimator is developed to estimate the disturbance. Based on the estimator, we propose a state observer that is exponentially convergent to the original system and then design a stabilizing control law consisting of two parts: The first part is to compensate the disturbance by using its approximated value and the second part is to stabilize the observer system by applying the classical backstepping approach. The resulting closed‐loop system is shown to be exponentially stable with guaranteeing that all internal systems are uniformly bounded. An effective output‐based disturbance rejection control algorithm is concluded. An application, namely, a cascade of ODE–wave systems, is investigated by the developed control algorithm. Numerical experiments are carried out to illustrate the effectiveness of the proposed control law. 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 =“rnc3827-abs-abs-0001”> <标题类型=“main”>摘要</ title> < P XML：ID =“RNC3827-Para-0001”>在本文中，我们涉及由边界控制的防稳定一维SCHR？Dinger方程描述的系统（工厂）的输出反馈控制设计。我们的输出测量信号是两侧的位移。开发了一个未经传统的无限尺寸扰动估计器来估计干扰。基于估算仪，我们提出了一个国家观察者，它是指数增长的原始系统，然后设计一个由两部分组成的稳定控制律：第一部分是通过使用其近似值来补偿干扰，第二部分是稳定的通过应用经典的反向分析方法观察系统。结果闭环系统被指数稳定，保证所有内部系统都是均匀的界限。结论了有效的基于输出的扰动控制算法。通过开发的控制算法研究了应用程序，即偶像波系统的级联。进行了数值实验，以说明所提出的控制法的有效性。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20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=Zhou Huacheng&option=202" target="_blank" rel="nofollow">Zhou Huacheng;</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>School of Electrical EngineeringTel Aviv UniversityRamat Aviv 69978 Israel;</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=disturbance rejection&option=203" rel="nofollow">disturbance rejection;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=output feedback&option=203" rel="nofollow">output feedback;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=exponential stabilization&option=203" rel="nofollow">exponential stabilization;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=anti‐stable&option=203" rel="nofollow">anti‐stable;</a> <a style="color: #3E7FEB;" href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Schr?dinger equation&option=203" rel="nofollow">Schr?dinger equation;</a> </p> <div class="translation"> 机译：扰动抑制;产出反馈;指数稳定;反稳定;施氏_倾斜方程; </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 class="enjiyixqcontent" href="/journal-foreign-detail/0704023067308.html">Output‐based disturbance rejection control for 1‐D anti‐stable Schr?dinger equation with boundary input matched unknown disturbance</a> <b>[J]</b> . <span> <a href="/search.html?doctypes=4_5_6_1-0_4-0_1_2_3_7_9&sertext=Zhou Huacheng&option=202" 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