Open AccessOn asynchronous l 2 − l ∞ filtering for networked fuzzy systems with Markov jump parameters over a finite‐time interval
Author(s) -
Wang Jing,
Li Feng,
Sun Yonghui,
Shen Hao
Publication year - 2016
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2016.0016
Subject(s) - filtering problem , control theory (sociology) , asynchronous communication , interval (graph theory) , filter (signal processing) , discrete time and continuous time , network packet , markov chain , markov process , computer science , fuzzy logic , mathematics , inverted pendulum , filter design , nonlinear system , artificial intelligence , statistics , computer network , physics , control (management) , combinatorics , quantum mechanics , computer vision
In this study, the problem of asynchronous l 2− l ∞filtering is investigated for discrete‐time networked Takagi–Sugeno fuzzy Markov jump systems (FMJSs). The system measurements are transmitted over an unreliable communication network affected by sensor non‐linearity and packet dropouts. The purpose is to design an asynchronous l 2− l ∞filter for discrete‐time FMJSs such that the resulting filtering error system is not only finite‐time bounded for the given conditions, but also satisfies a prescribed l 2− l ∞performance. Some sufficient conditions for the existence of the asynchronous l 2− l ∞filter are presented, and the corresponding design problem is converted into a convex optimisation one. Finally, a numerical example and a modified inverted pendulum model are utilised to demonstrate the usefulness of our proposed approach.