Dynamic Event-Triggered H ∞ Filtering for Fuzzy Markov Jump Systems Subject to Mismatched Quantization

• Published in: IEEE transactions on automation science and engineering Vol. 22; pp. 10639 - 10649
• Main Authors: Gu, Yang, Shen, Mouquan, Park, Ju H., Wang, Qing-Guo, Yi, Yang, Sun, Yonghui
• Format: Journal Article
• Language: English
• Published: IEEE 2025
• Subjects: Automation; Decoding; Electrical engineering; Electronic mail; Event detection; event-triggered sampling; Filtering; fuzzy systems; Markov jump systems; Networked control systems; Quantization (signal); quantized filtering; Sun; Time-varying systems
• ISSN: 1545-5955; 1558-3783
• DOI: 10.1109/TASE.2025.3527974

This paper is dedicated to a dynamic event-triggered <inline-formula> <tex-math notation="LaTeX">H_{\infty } </tex-math></inline-formula> filtering method of fuzzy Markov jump systems via a mismatched quantization scheme. The system outputs are triggered by a dynamic event-triggered mechanism and then quantized via a mismatched quantizer before being sent to the remote filter. The dynamic triggering scheme with a special diagonal matrix structure threshold is built to reduce the network burden. The quantizer is constructed in a multi-channel paradigm with a time-varying mismatch degree. Then, the remote reduce-order filter is designed to be both fuzzy-rule and mode-dependent. By adopting Finsler's Lemma and the vertex separation method, sufficient conditions are derived in terms of form matrix inequalities. At last, the effectiveness of the proposed method is demonstrated by a tunnel diode circuit. Note to Practitioners-In practical networked systems, sampled analog signals must be quantized before being transmitted over a digital network. However, limited by imperfect hardware, the parameters of the encoder and decoder may not match. To address this challenge, this paper provides a mismatched quantizer design scheme. Additionally, frequent data transmission consumes limited energy and bandwidth resources. Conserving resources is essential for real industrial production, so a dynamic triggering scheme is proposed to reduce the data exchange frequency. A simulation example with practical background is presented to verify that the proposed scheme achieves satisfactory control performance.