Robust H2 and H∞ Filter Design for Polytopic Systems by Dilating Matrices

作     者：Cui, Yuefeng Wang, Likui 

作者机构：Hebei Univ Technol Sch Artificial Intelligence Tianjin Peoples R China 

出 版 物：《OPTIMAL CONTROL APPLICATIONS & METHODS》 (Optim Control Appl Methods)

年 卷 期：2025年第0期

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0811[工学-控制科学与工程] 0701[理学-数学] 

基　　金：Natural Science Foundation of Tianjin 

主　　题：iteration algorithm polynomial parameter-dependent Lyapunov functions polytopic uncertainties robust H-2 and H-infinity filter 

摘      要：In this article, the problem of robust H (2) and H (infinity) filter design for linear systems with polytopic parameters is studied. First, the dimensions of filter design matrices are dilated. For H (2) filter, the matrix is dilated from 3 to 4, and for H (infinity) filter, the corresponding matrix is dilated from 4 to 5, such that more slack variables can be introduced. Then, the polynomial parameter-dependent method is applied to design the Lyapunov function and filter gains. In addition, an iteration algorithm is used to further reduce the conservativeness. Finally, the effectiveness and the superiority of the proposed conditions are shown by four examples.