Identification of Self-Excited Systems Using Discrete-Time, Time-Delayed Lur'e Models
Identification of Self-Excited Systems Using Discrete-Time, Time-Delayed Lur'e Models
复制标题
使用离散时间、时滞 Lure 模型识别自激系统
DOI：
10.23919/acc50511.2021.9482805
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
D. Bernstein
中科院分区：
文献类型：
--
作者：
J. Paredes;D. Bernstein
本文研究了在恒定输入条件下输出为渐近周期系统的辨识问题。用于系统辨识的模型是一个离散时间Lur'e模型，由渐近稳定线性动力学、时间延迟、冲刷滤波器和静态非线性反馈映射组成。对于环路传递函数足够大的尺度，这些分量在小信号电平下引起发散，在大信号幅值下引起衰减，从而产生渐近振荡输出。最小二乘技术用于估计线性模型的系数以及反馈映射的分段线性近似的参数。
This paper considers system identification 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 sufficiently large scaling 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 leastsquares technique is used to estimate the coefficients of the linear model as well as the parameters of a piecewise-linear approximation of the feedback mapping.
具有偏置自激振荡的时滞 Lurâe 模型
DOI：
10.23919/acc45564.2020.9147761
发表时间：
2020
期刊：
Proc. American Control Conference
影响因子：
--
作者：
Paredes, Juan;Ul Islam, Syed Aseem;Bernstein, Dennis S.
通讯作者：
Bernstein, Dennis S.