Abstract The preeminent merit of function expansion bilinear (FEB) filters is their ability to represent nonlinear distributions for active noise control (ANC) systems. Unfortunately, the huge computational burden and bounded input bounded output (BIBO) unstable problem hinder its practical applications. In this paper, we propose a general channel reduced efficient implementation algorithm for FEB filter and two BIBO stable control methods, to further reduce the computational load and overcome the unstable problem. The efficiency of the proposed methods is verified by computational complexity analyses and computer simulations for nonlinear ANC (NANC) systems. The results of computational analysis and computer simulation show the satisfied control performances with significant computational reduction.

中文翻译：

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用于非线性有源噪声控制的自适应函数扩展双线性滤波器的 BIBO 稳定实现

摘要 函数扩展双线性 (FEB) 滤波器的突出优点是它们能够表示有源噪声控制 (ANC) 系统的非线性分布。不幸的是，巨大的计算负担和有界输入有界输出（BIBO）不稳定问题阻碍了其实际应用。在本文中，我们提出了FEB滤波器的通用信道缩减高效实现算法和两种BIBO稳定控制方法，以进一步减少计算量并克服不稳定问题。通过非线性 ANC (NANC) 系统的计算复杂性分析和计算机模拟验证了所提出方法的效率。计算分析和计算机模拟的结果表明，在显着减少计算量的情况下，控制性能令人满意。