Abstract A continuation of previous authors' work on adaptive parameter estimation for linear dynamical systems having irrational transfer function is presented in this work. An original modification of the gradient algorithm, inspired by the variable structure control techniques and additionally featuring a time-varying adaptation gain, is presented and analyzed using Lyapunov techniques. The exposition is illustrated by several numerical examples which illustrate the effectiveness of the proposed algorithm.

中文翻译：

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具有时变增益的自适应单位向量定律用于 LTI 系统中的有限时间参数估计

摘要 在这项工作中介绍了先前作者在具有无理传递函数的线性动力系统的自适应参数估计方面的工作的延续。梯度算法的原始修改，受到可变结构控制技术的启发，另外具有时变自适应增益，使用李雅普诺夫技术进行了介绍和分析。通过几个数值例子来说明说明，这些例子说明了所提出算法的有效性。