Yuan Jing
Department of Mechanical Engineering, The Hong Kong Polytechnic University, Hunghom, Kowloon, Hong Kong.
J Acoust Soc Am. 2008 Jul;124(1):241-6. doi: 10.1121/1.2936365.
Feedforward control is a popular strategy of active noise/vibration control. In well-damped noise/vibration systems, path transfer functions from actuators to sensors can be modeled by finite impulse response (FIR) filters with negligible errors. It is possible to implement noninvasive model independent feedforward control by a recently proposed method called orthogonal adaptation. In lightly damped noise/vibration systems, however, path transfer functions have infinite impulse responses (IIRs) that cause difficulties in design and implementation of broadband feedforward controllers. A major source of difficulties is model error if IIR path transfer functions are approximated by FIR filters. In general, active control performance deteriorates as model error increases. In this study, a new method is proposed to design and implement model independent feedforward controllers for broadband in lightly damped noise/vibration systems. It is shown analytically that the proposed method is able to drive the convergence of a noninvasive model independent feedforward controller to improve broadband control in lightly damped noise/vibration systems. The controller is optimized in the minimum H2 norm sense. Experiment results are presented to verify the analytical results.
前馈控制是有源噪声/振动控制中一种常用的策略。在阻尼良好的噪声/振动系统中，从执行器到传感器的路径传递函数可以用有限脉冲响应（FIR）滤波器进行建模，误差可忽略不计。通过一种最近提出的称为正交自适应的方法，可以实现非侵入式的与模型无关的前馈控制。然而，在阻尼较小的噪声/振动系统中，路径传递函数具有无限脉冲响应（IIR），这给宽带前馈控制器的设计和实现带来了困难。困难的一个主要来源是，如果用FIR滤波器近似IIR路径传递函数，则会产生模型误差。一般来说，随着模型误差的增加，有源控制性能会下降。在本研究中，提出了一种新的方法来设计和实现用于阻尼较小的噪声/振动系统中宽带的与模型无关的前馈控制器。分析表明，所提出的方法能够驱动非侵入式与模型无关的前馈控制器收敛，以改善阻尼较小的噪声/振动系统中的宽带控制。该控制器在最小H2范数意义下进行了优化。给出了实验结果以验证分析结果。
