@inproceedings{7f52dcb0e9684244b9d44a869f067da8,
title = "H∞ polytopic filter design for nonlinear systems",
abstract = "This paper proposes an H∞ polytopic filter design for a nonlinear system. Based on the polytopic approximation of the nonlinear system, the polytopic filter design is converted into a group of linear matrix inequalities (LMIs) so that the polytopic filter parameters can be effectively acquired by numerical convex optimization algorithms. At this stage, the tensor product (TP) model transformation is utilized to compute the polytopic approximation of the nonlinear system. Particularly, a new rectification procedure is further developed to obtain a specific polytopic approximation with all the vertex systems being stable, which premises the solvability of the LMIs. The method is much easier to be implemented than traditional approaches such as the Hamilton-Jacobi inequality (HJI)-based methods. Simulation demonstrates the method is much less conservative than the existing method and has good estimation performance.",
keywords = "H filter, nonlinear systems, polytopic model, tensor product model transformation",
author = "Yin Yu and Zhen Li and Jian Li and Luyu Li and Xiangdong Liu",
note = "Publisher Copyright: {\textcopyright} 2016 TCCT.; 35th Chinese Control Conference, CCC 2016 ; Conference date: 27-07-2016 Through 29-07-2016",
year = "2016",
month = aug,
day = "26",
doi = "10.1109/ChiCC.2016.7553153",
language = "English",
series = "Chinese Control Conference, CCC",
publisher = "IEEE Computer Society",
pages = "620--625",
editor = "Jie Chen and Qianchuan Zhao and Jie Chen",
booktitle = "Proceedings of the 35th Chinese Control Conference, CCC 2016",
address = "United States",
}