Considerable research studies have been reported on developing effective active control means to mitigate combustion instability. In this work, a neural network PID (NN-PID) controller is proposed and demonstrated to suppress the oscillating pressure in a cylindrical Rijke tube, for which the combustion instability is modelled by a 1D acoustic network model together with linear and nonlinear flame models. The flame model is based on the classical n − τ model filtered by a first-order low pass filter. The nonlinearity of the flame model is realised using a gain function saturated with velocity perturbation. A fuel valve and a loudspeaker are adopted as two independent control actuators. Results show that system oscillation begins to attenuate when the NN-PID control starts. The attenuation rate using a fuel valve as the actuator is faster than that using a loudspeaker. For nonlinear combustion oscillations, the NN-PID controller could inhibit the reference pressure oscillation in the linear growth and saturation processes. A maximum overshoot of 2.3% could occur when the loudspeaker is used as the actuator to suppress system oscillation. The NN-PID controller is not affected by noise with a fuel valve or the loudspeaker and can effectively suppress and eliminate the system pressure oscillation in different oscillating stages with different flame models.

已经报道了关于开发有效的主动控制手段以减轻燃烧不稳定性的大量研究。在这项工作中，提出并演示了一种神经网络 PID (NN-PID) 控制器来抑制圆柱形 Rijke 管中的振荡压力，其燃烧不稳定性通过一维声学网络模型以及线性和非线性火焰模型进行建模。火焰模型基于经一阶低通滤波器过滤的经典 n-τ 模型。火焰模型的非线性是通过速度扰动饱和的增益函数来实现的。采用燃油阀和扬声器作为两个独立的控制执行器。结果表明，当 NN-PID 控制开始时，系统振荡开始衰减。使用燃油阀作为执行器的衰减率比使用扬声器的要快。对于非线性燃烧振荡，NN-PID控制器可以抑制线性增长和饱和过程中的参考压力振荡。当扬声器用作执行器以抑制系统振荡时，可能会出现 2.3% 的最大过冲。NN-PID控制器不受燃油阀或扬声器噪声的影响，可以有效抑制和消除不同火焰模型下不同振荡阶段的系统压力振荡。当扬声器用作执行器以抑制系统振荡时，可能会发生 3%。NN-PID控制器不受燃油阀或扬声器噪声的影响，可以有效抑制和消除不同火焰模型下不同振荡阶段的系统压力振荡。当扬声器用作执行器以抑制系统振荡时，可能会发生 3%。NN-PID控制器不受燃油阀或扬声器噪声的影响，可以有效抑制和消除不同火焰模型下不同振荡阶段的系统压力振荡。