WANG Lei1,2,TAN Ping1,ZHAO Shiyun3,CHEN Gang2,ZHOU Fulin1
1.Earthquake Engineering Research and Test Center, Guangzhou University, Guangzhou 510405, China;
2.Anhui Water Resources Development Co., Ltd., Hefei 230031, China;
3.Anhui Construction Engineering Group, Hefei 230031, China
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.
王磊1,2,谭平1,赵时运3,陈刚2,周福霖1. 随机结构主动控制系统的鲁棒控制研究[J]. 振动与冲击, 2019, 38(18): 103-108.
WANG Lei1,2,TAN Ping1,ZHAO Shiyun3,CHEN Gang2,ZHOU Fulin1. Robust active control of stochastic structures. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(18): 103-108.
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