小区间参数不确定性高阶系统的振动控制研究

王小兵*[];刘应华[];陈建军[]

振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 61-68.

PDF(1830 KB)
PDF(1830 KB)
振动与冲击 ›› 2011, Vol. 30 ›› Issue (1) : 61-68.
论文

小区间参数不确定性高阶系统的振动控制研究

  • 王小兵*[1]; 刘应华[1] ;陈建军[2]
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Study on Vibration Control of High-Order Uncertain System with Small Interval Parameters

  • Xiaobing Wang1*;Yinghua Liu1; Jianjun Chen2
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摘要

针对复杂高阶不确定性系统的鲁棒H∞振动控制难题,基于小区间参数不确定性系统降阶方法的研究,系统地给出了包含降阶对象的构建、不确定性系统的降阶、鲁棒控制器的求解以及鲁棒性验证等在内的一整套研究策略和分析方法。为保障整个分析和求解过程的顺利进行,分析了高阶矩阵指数函数一阶偏导数求解困难的根源以及利用数值微分法的解决策略,并给出了一类维数较小的不确定性矩阵分解方法。最后通过算例表明了整个分析过程和求解方法的合理性和可行性。

Abstract

For the robust H∞ vibration control of high-order complicated uncertain system, based on the study on the reduction of uncertain system with small interval parameters, a research strategy and analysis method is presented, which includes the construction of the system to reduce, reduction of uncertain system, the solving method of robust controller and the verification of robustness, and so on. In order to ensure the whole process of analysis and calculation going well, the calculation of the first order partial derivatives of high-order matrix exponential is studied and a decomposing form of uncertainty matrix with lower dimensionality is given. Finally, the rationality and feasibility of the suggested method is proved by numerical examples.

关键词

不确定性 / 区间 / 平衡降阶法 / 鲁棒控制 / 数字仿真

Key words

Uncertainty / Interval / Balanced Reduction / Robust Control / Computer Simulation

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导出引用
王小兵*[];刘应华[];陈建军[]. 小区间参数不确定性高阶系统的振动控制研究[J]. 振动与冲击, 2011, 30(1): 61-68
Xiaobing Wang*;Yinghua Liu;Jianjun Chen . Study on Vibration Control of High-Order Uncertain System with Small Interval Parameters [J]. Journal of Vibration and Shock, 2011, 30(1): 61-68

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