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Observer-based robust H-infinity control for uncertain switched systems
  • 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]Key Laboratory of Process Industry Automation Ministry of Education China, Northeastern University, Shenyang Liaoning 110004, China, [2]School of Information Science and Engineering, Northeastern University, Shenyang Liaoning 110004, China
  • 相关基金：This work was supported by the National Natural Science Foundation of China （No. 60274009, 60574013）.
作者： Zhengyi SONG[1,2], Jun ZHAO[2]
关键词： 不确定系统, 线性离散系统, H∞控制, 鲁棒控制, 线性矩阵不等式, Linear discrete-time switched system, Robust H-infinity control, Switched Lyapunov function, Linear matrix inequality （LMI）
中文摘要：

基于观察员的柔韧的 H 无穷控制的问题被使用交换 Lyapunov 函数方法与变化时间的围住标准的不确定性为线性分离时间的交换系统的一个类处理。任何一个都没单个分系统被假定是要用体力地 H 无穷可解决。有斜块的形式的一个新奇交换 Lypunov 功能矩阵被设计在设计切换的法律克服困难。为柔韧的 H 无穷稳定性分析，二 linear-matrix-inequality-based 如果一些参数是 preselected，足够的条件被仅仅使用最小的区域功能策略导出。然后，柔韧的 H 无穷控制合成用切换的州的反馈被学习；基于观察员的切换的动态产量反馈。所有切换的法律积极地同时被设计。最后，一个模拟例子被给说明结果的有效性。

英文摘要：

The problem of observer-based robust H-infinity control is addressed for a class of linear discrete-time switched systems with time-varying norm-bounded uncertainties by using switched Lyapunov function method. None of the individual subsystems is assumed to be robustly H-infinity solvable. A novel switched Lypunov function matrix with diagonal-block form is devised to overcome the difficulties in designing switching laws. For robust H-infinity stability analysis, two linear-matrix-inequality-based sufficient conditions are derived by only using the smallest region function strategy if some parameters are preselected. Then, the robust H-infinity control synthesis is studied using a switching state feedback and an observer-based switching dynamical output feedback. All the switching laws are simultaneously constructively designed. Finally, a simulation example is given to illustrate the validity of the results.

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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