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个人信息Personal Information
教授
博士生导师
硕士生导师
主要任职：Professor at the Institute of Advanced Measurement & Control Technology
其他任职：先进检测与控制技术研究所所长
性别：男
毕业院校：上海交通大学
学位：博士
所在单位：控制科学与工程学院
学科：控制理论与控制工程. 化学工程
办公地点：大连理工大学控制科学与工程学院先进检测与控制技术研究所
大连市凌工路2号大连理工大学海山楼A座724室
联系方式：Tel:(0411)84706465 实验室网站：http://act.dlut.edu.cn/
电子邮箱：tliu@dlut.edu.cn
Subspace identification of Hammerstein-type nonlinear systems subject to unknown periodic disturbance
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论文类型：期刊论文
发表时间：2021-04-26
发表刊物：INTERNATIONAL JOURNAL OF CONTROL
卷号：94
期号：4
页面范围：849-859
ISSN号：0020-7179
关键字：Subspace identification; Hammerstein-type nonlinear system; periodic disturbance; orthogonal projection; consistent estimation
摘要：In this paper, a subspace identification method is proposed for Hammerstein-type nonlinear systems subject to periodic disturbances with unknown waveforms. By separating the periodic disturbance response from the deterministic system response using the superposition principle, an orthogonal projection is established to eliminate the disturbance influence, while an instrumental variable is introduced to eliminate the noise effect for consistent estimation. The overall disturbance period could be exactly estimated by minimising an objective function of output prediction error. A singular value decomposition algorithm is developed to simultaneously estimate the observability matrix and the triangular block-Toeplitz matrix. The system matrices are subsequently retrieved via a shift-invariant algorithm. Sufficient conditions for consistent estimation of the observability matrix and the triangular block-Toeplitz matrix are established with a proof. An illustrative example is presented to demonstrate the effectiveness and merit of the proposed identification method.