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State feedback stabilization for high-order stochastic nonlinear systems with zero dynamics
  • ISSN号：2095-6983
  • 期刊名称：《控制理论与技术：英文版》
  • 时间：0
  • 分类：TP271[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]Institute of Automation, Qufu Normal University, Qufu Shandong 273165, China, [2]School of Electrical Engineering and Automation, Xuzhou Normal University, Xuzhou Jiangsu 221116, China, [3]School of Control Science and Control Engineering, Shandong University, Jinan Shandong 250061, China
  • 相关基金：This work was supported by Program for New Century Excellent Talents in University of China （NCET-05-0607）, National Natural Science Foundation of China （No.60774010） and Project for Fundamental Research of Natural Sciences in Universities of Jingsu Province （No.07KJB510114）.
作者： Jie TIAN[1], Xuejun XIE[1,2], Chenghui ZHANG[3]
关键词： 高阶混沌非线性系统, 状态反馈控制, 稳定性, 零点动力学, High-order stochastic nonlinear systems, Zero dynamics, State feedback, Stabilization
中文摘要：

在这糊，为有不是在控制输入也不仿射的任何一必然反馈 linearizable 的零动力学的高顺序的随机的非线性的系统的一个类，州的反馈稳定的问题第一次被调查。在一些更弱的假设下面，一个光滑的州的反馈控制器被设计，它保证靠近环的系统穿上一个几乎肯定独特的答案[0，∞) ，在靠近环的系统的起源的平衡是全球性在概率 asymptotically 稳定，；所有状态能几乎肯定被调整到起源。一个模拟例子表明控制计划。

英文摘要：

In this paper, for a class of high-order stochastic nonlinear systems with zero dynamics which are neither necessarily feedback linearizable nor affine in the control input, the problem of state feedback stabilization is investigated for the first time. Under some weaker assumptions, a smooth state feedback controller is designed, which ensures that the closed-loop system has an almost surely unique solution on [0,∞）, the equilibrium at the origin of the closed-loop system is globally asymptotically stable in probability, and all the states can be regulated to the origin almost surely. A simulation example demonstrates the control scheme.

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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