Robust active control of stochastic structures

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (18) : 103-108.

WANG Lei1,2,TAN Ping1，ZHAO Shiyun3，CHEN Gang2，ZHOU Fulin1

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Abstract

A robust H∞control algorithm for stochastic structures was presented based on the orthogonal expansion theory of stochastic structures and linear matrix inequality(LMI).A stochastic structure was first converted into a deterministic equivalent model through the orthogonal expansion method.Then, the robust controller of the deterministic equivalent model was proposed by virtue of the linear matrix inequalities based on the bounded real lemma.The differences between the H∞ control algorithms based on the deterministic model, bounded uncertain model and stochastic model were investigated through a numerical example by a probability density evolution analysis.The numerical results demonstrate that the proposed control algorithm is effective and robust.

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active control / stochastic structure / robust control / linear matrix inequality(LMI) / probability density evolution method(PDEM)

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WANG Lei1,2,TAN Ping1，ZHAO Shiyun3，CHEN Gang2，ZHOU Fulin1. Robust active control of stochastic structures[J]. Journal of Vibration and Shock, 2019, 38(18): 103-108

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