Mixed H∞‐based finite‐time passive filtering for a class of uncertain nonlinear singular systems

Author:

Li Meiqing1ORCID,Chen Wenbin2,Shao Yu3

Affiliation:

1. School of Automation Nanjing University of Science and Technology Nanjing Jiangsu China

2. College of Physics and Electronic Information Anhui Normal University Wuhu China

3. School of Automation Southeast University Nanjing Jiangsu China

Abstract

AbstractThis article discusses the finite‐time mixed and passive filtering design problem for uncertain nonlinear singular systems. The parameter uncertainties are constrained by well‐defined upper bounds on their magnitudes. The objective is to design a full‐order filter to ensure that the augmented singular system to be finite‐time boundedness(FTB) with and passivity performance. Firstly, a sufficient condition for achieving singular finite‐time boundedness with mixed and passivity performance for uncertain nonlinear singular system is derived by introducing a free matrix. Secondly, a novel criterion is established for analyzing finite‐time and passivity problem of filtering error singular system based on augmented matrix technique. Thirdly, the filtering design conditions are presented and the relevant parameters of the desired filter are determined using linear matrix inequality decoupling principle. Finally, a practical circuit system and a numerical example are provided to demonstrate the feasibility of the proposed scheme.

Funder

National Natural Science Foundation of China

China Scholarship Council

Publisher

Wiley

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