国家863基金项目（2002AA001006）
研究了刚体基上柔性附件的振动鲁棒控制问题．介绍了结构奇异值μ理论，基于此理论设计鲁棒控制器，用压电材料作传感器和作动器(μ)，用输出乘性不确定性结构来描述低阶标称模型与实际系统的误差，给出了系统μ控制器综合框架．以柔性梁附件为对象示例了分析过程.数值仿真结果表明μ控制器具有良好的鲁棒性能，用于振动控制是必要且可行的．
Robust vibration control of flexible appendant structures on a rigid base was investigated. The Structured Singular Value(μ) theory was applied to design a robust vibration controller, and piezoelectric patches were used as actuators and sensors. Output multiplicative uncertainty structure was adopted to depict the discrepancies between nominal model and real system, and μ controller synthesis framework was formed. A flexible beam appended to a rigid base was taken as an example to illustrate the μcontroller design process. The simulation results showed that the μ controller exhibited good performance. So, it's feasible to apply Structured Singular Value theory in vibration control of flexible appendant structures.
王锋,唐国金,李道奎.带刚性基柔性附件振动鲁棒控制[J].动力学与控制学报,2006,4(1):63~68; Wang Feng, Tang Guojin, Li Daokui. Robust vibration control of flexible appendant structure on rigd base[J]. Journal of Dynamics and Control,2006,4(1):63-68.
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