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Adaptive stabilization of uncertain nonholonomic systems by output feedback
  • ISSN号：2095-6983
  • 期刊名称：《控制理论与技术：英文版》
  • 时间：0
  • 分类：TP273[自动化与计算机技术—控制科学与工程;自动化与计算机技术—检测技术与自动化装置]
  • 作者机构：[1]曲阜师范大学自动化研究所,山东省曲阜市273165
  • 相关基金：国家自然科学基金资助项目（60674027）,教育部博士点基金资助项目（20050446001）,中国博士后科学基金资助项目（20070410336）,江苏省博士后科学基金资助项目（0602042B）和曲阜师范大学科研启动基金项目.
作者： Xiuyun ZHENG Yuqiang WU[1]
关键词： 不确定时滞系统, 状态反馈镇定, 线性矩阵不等式, 非线性干扰, Uncertain time-delay systems, State feedback stabilization, LMI approach, Nonlinear perturbations
中文摘要：

考虑了一类带有状态时滞和非线性扰动的离散不确定系统的鲁棒状态反馈镇定问题。利用Schur，补公式和线性矩阵不等式的方法，给出了闭环系统鲁棒渐近稳定的充分条件。同时还优化了非线性扰动项所应满足的最大上界，此外指出了这一问题可以通过判断一个凸优化问题的可解性来解决。所有结果均以线性矩阵不等式的形式给出。

英文摘要：

The state feedback stabilization problem for a class of discrete uncertain system with time-delay and nonlinear perturbations is considered. Using Schur complement formula and linear matrix inequalities method, a sufficient condition guaranteeing the robust asymptotic stability of the closed-loop system is proposed, at the same time, the maximal upper bound on the non-linearity is optimized. In addition, it is pointed out that this problem can be solved by judging the solubility of the convex optimization problem. All the conditions are given within the framework of linear matrix inequalities.

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期刊信息
  • 《控制理论与技术：英文版》
  • 主管单位:国家教育部
  • 主办单位:华南理工大学 中科院数学与系统科学研究院
  • 主编：胡跃明
  • 地址：广州市天河区五山路381号华南理工大学
  • 邮编：510640
  • 邮箱：jcta@scut.edu.cn
  • 电话：020-87111464
  • 国际标准刊号：ISSN：2095-6983
  • 国内统一刊号：ISSN：44-1706/TP
  • 邮发代号:46-319
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国工程索引
  • 被引量:69