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.
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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.