Study on Vibration Control of High-Order Uncertain System with Small Interval Parameters

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Journal of Vibration and Shock ›› 2011, Vol. 30 ›› Issue (1) : 61-68.

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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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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.

Key words

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

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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