Finite-time Asynchronous H∞ Filtering Design of Markovian Jump Systems with Randomly Occurred Quantization

• Published in: International journal of control, automation, and systems Vol. 18; no. 2; pp. 450 - 461
• Main Authors: Zhu, Yangchen, Song, Xiaona, Wang, Mi, Lu, Junwei
• Format: Journal Article
• Language: English
• Published: Bucheon / Seoul Institute of Control, Robotics and Systems and The Korean Institute of Electrical Engineers 01.02.2020; Springer Nature B.V; 제어·로봇·시스템학회
• Subjects: Control; Engineering; Filtration; Fuzzy systems; H-infinity control; Linear matrix inequalities; Mathematical analysis; Measurement; Mechatronics; Regular Papers; Robotics; 제어계측공학; Asynchronous; randomly occurred quantization; Markov jump systems; finite-time; T-S fuzzy model; filtering
• ISSN: 1598-6446; 2005-4092
• DOI: 10.1007/s12555-019-0333-9

In this paper, the problem of asynchronous H ∞ filtering is discussed for discrete-time Takagi-Sugeno (T-S) fuzzy Markov jump systems (FMJSs) with randomly occurred quantization. The asynchrony refers to the situation that the plant state and the filter state belong to different local state space regions, and the randomly occurred quantization is introduced to describe the quantisation phenomenon appearing in a probabilistic way. The aim of this study is to design an asynchronous H ∞ filter for discrete-time T-S FMJSs such that the resulting filtering error system satisfies H ∞ disturbance attention performance and finite-time boundedness. Then, the gains of the filter are obtained by solving a set of linear matrix inequalities. Finally, three examples are utilized to illustrate the effectiveness of our proposed approach.