中文摘要：

针对一般LMS自适应滤波算法在对系统建模时存在的初始收敛速度、时变系统跟踪能力及收敛精度三个指标难于协调的问题,提出了变论域变步长的LMS自适应滤波算法,并利用李亚普诺夫函数证明了算法的收敛性.研究结果表明,该算法在对系统建模时可以同时兼顾上述三个指标,可用于控制领域的系统及其逆系统建模.

英文摘要：

The common LMS （least mean square） adaptive filtering algorithm is difficult to harmonize three performance indices, i.e. initial convergent speed, time-varying track ability, and constringent precision, while modeling the system. In order to solve this problem a region-varying and step size-varying LMS algorithm was put forward, and its algorithmic astringency was proved by the Lyapunoy Function. It is shown that the algorithm gives attention to the three performance indices above and can be applied to modeling the system and the inverse system in a field of control.