湖南大学学报（自然科学版）2025，Vol.52Issue(10)：43-49,7.DOI:10.16339/j.cnki.hdxbzkb.2025204
基于Lyapunov稳定性原理的双Rijke管耦合控制策略
Coupling Control Strategy for Rijke Tube Systems Based on Lyapunov Stability Principles
摘要
Abstract
To effectively control thermoacoustic instability represented as high-amplitude oscillations,the coupling control method for Rijke tube based on Lyapunov stability principles is explored.The key coefficient matrices are obtained through linearization and matrix control formulation of the coupled system.Predictions of the control parameter range strategy for achieving amplitude death of the coupling control system are based on the real part of the eigenvalues.The research demonstrates that the maximum transient energy growth rate is closely associated with the minimum real part of the eigenvalues,validating the efficacy of the coupling control strategy based on the Lyapunov stability principles.A larger minimum real part value results in a faster decay rate of transient energy,but employing a coupling system with the ratio of heat intensity larger than one leads to a transient energy growth.关键词
热声/稳定性/Rijke管/双管耦合控制/振幅死亡Key words
thermoacoustics/stability/Rijke tube/coupling control strategy/amplitude death分类
能源科技引用本文复制引用
谢茗柯,赵丹,付建勤,魏长河..基于Lyapunov稳定性原理的双Rijke管耦合控制策略[J].湖南大学学报（自然科学版）,2025,52(10):43-49,7.基金项目
国家重点研发计划资助项目(2021YFB2500505),National Key Research and Development Program of China(2021YFB2500505) （2021YFB2500505）
