Boundary PI Feedback Stabilization of Combustion Oscillations in the Rijke Tube

• 成果类型: Article
• 署名作者: Zhang, Yu-Long; Liu, Shaojie; Wang, Zhaohui; Wang, Jun-Min; Li, Donghai; Zhu, Min
• 署名单位: Beijing Institute of Technology; Tsinghua University; Tsinghua University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3486745
• 发表日期: 2025
• 页码: 2568-2575
• 关键词: Combustion; oscillators; Eigenvalues and eigenfunctions; Heating systems; mathematical models; Power system stability; Partial differential equations; PI control; Distributed parameter systems; steady-state; Combustion oscillations; proportional-integral (PI) control; partial differential equation; Rijke tube

摘要

In this article, we consider the stabilization of combustion oscillations in the Rijke tube, which is modeled by a linearized wave equation with heat release fluctuation ordinary differential equation (ODE) acting as a point source term. A boundary proportional-integral (PI) feedback controller is designed to suppress the combustion oscillations. The Nyquist criterion is applied to prove that eigenvalues of the operator of the close-loop system are all located on the left-hand side of the complex plane. The closed-loop system is proved to be exponentially stable by using the Riesz basis approach. Numerical simulations are presented to verify the effectiveness of the control design. Moreover, the experimental results are obtained in an experimental Rijke tube, which validates the effectiveness of the method.