论文标题
使用离散时间延迟的LUR'E模型来识别自激发系统
Identification of Self-Excited Systems Using Discrete-Time, Time-Delayed Lur'e Models
论文作者
论文摘要
本文为在恒定输入下渐近周期性的系统提供了一种系统识别技术。用于系统标识的模型是一个离散的LUR'E模型，该模型由渐近稳定的线性动力学，时间延迟，洗涤滤器和静态非线性反馈映射组成。对于所有足够大的循环传递函数尺度，这些组件在较小的信号水平下引起差异，并在较大的信号幅度下腐烂，从而产生渐近振荡的输出。偏置生成机制用于在振荡中提供偏见。本文的贡献是一种最小二乘技术，该技术估计了线性模型的系数以及连续的分段线性反馈映射的参数化。
This paper presents a system identification technique for systems whose output is asymptotically periodic under constant inputs. The model used for system identification is a discrete-time Lur'e model consisting of asymptotically stable linear dynamics, a time delay, a washout filter, and a static nonlinear feedback mapping. For all sufficiently large scalings of the loop transfer function, these components cause divergence under small signal levels and decay under large signal amplitudes, thus producing an asymptotically oscillatory output. A bias-generation mechanism is used to provide a bias in the oscillation. The contribution of the paper is a least-squares technique that estimates the coefficients of the linear model as well as the parameterization of the continuous, piecewise-linear feedback mapping.
