Ellipsoid-Based Interval Estimation for Lipschitz Nonlinear Systems

被引：27

作者：

Zhang, Wenhan ^{[1
]}

Wang, Zhenhua ^{[1
]}

Raissi, Tarek ^{[2
]}

Shen, Yi ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Control Sci & Engn, Harbin 150001, Peoples R China

[2] Conservatoire Natl Arts & Mtiers CNAM, F-75141 Paris, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2022年 / 67卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Estimation; Observers; Ellipsoids; Uncertainty; Symmetric matrices; Nonlinear systems; Ellipsoidal analysis; interval estimation; Lipschitz systems; observer design; peak-to-peak index; OBSERVER; ZONOTOPES; DESIGN; SET;

D O I：

10.1109/TAC.2021.3133366

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article proposes an intervalestimation method for discrete-time Lipschitz nonlinear systems via observer design and ellipsoidal analysis. A robust observer with novel structure is presented, which provides more degrees of design freedom and can be applied to enhance the interval estimation performance. To handle the nonlinear term in Lipschitz systems, we use the reformulated Lipschitz property to transform the nonlinear error dynamics into a linear parameter-varying form. After the transformation, the robustness performance of the proposed observer is characterized with the aid of peak-to-peak index. Furthermore, the comprehensive interval estimation results are obtained by using the peak-to-peak performance and the ellipsoidal analysis. Numerical simulation results are conducted to demonstrate the viability and validity of the presented method.

引用

页码：6802 / 6809

页数：8