时变时滞不确定系统的鲁棒输出反馈控制
Robust Output Effdback Control for Linear Time-Varying Uncertain Time-Delay Systems
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摘要: 研究了时变时滞不确定系统基于状态观测器的动态输出反馈实现鲁棒镇定的分 析和综合问题.所研究的系统不仅同时包含时变状态时滞和时变控制时滞,而且包含时变未 知且有界不确定参数.提出了确保该系统可通过输出反馈鲁棒镇定的充分条件,并将该充分 条件转化为线性矩阵不等式(LMI)问题,最终通过求解两个LMI来构造输出反馈控制律.
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关键词:
- 不确定线性时滞系统 /
- 时变时滞 /
- 动态输出反馈 /
- 二次镇定 /
- 线性矩阵不等式(LMI)
Abstract: This paper is focused on the problem of robust stabilizing of a class of uncertain linear time-delay systems via observer-based dynamic output feedback control law when the full states can not be measured. Systems under consideration are linear systems with timevarying states and control delays, and also contain time-varying unknown-but-bounded uncertain parameters. A sufficient condition for the robust output feedback stabilizabitity of the system is derived. The sufficient condition is transformed into a Linear Matrix Inequality (LMI) problem and the control law can be constructed by solving two LMIs.
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