Dissipative Fuzzy Filtering for Nonlinear Networked Systems with Dynamic Quantization and Data Packet Dropouts

Shuxia Jing, Chengming Lu and Zhimin Li ()
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Shuxia Jing: School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065000, China
Chengming Lu: School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065000, China
Zhimin Li: School of Electronic and Control Engineering, North China Institute of Aerospace Engineering, Langfang 065000, China

Mathematics, 2024, vol. 12, issue 2, 1-17

Abstract: This paper discusses the dissipative filtering problem for discrete-time nonlinear networked systems with dynamic quantization and data packet dropouts. The Takagi–Sugeno (T–S) fuzzy model is employed to approximate the considered nonlinear plant. Both the measurement and performance outputs are assumed to be quantized by the dynamic quantizers before being transmitted. Moreover, the Bernoulli stochastic variables are utilized to characterize the effects of data packet dropouts on the measurement and performance outputs. The purpose of this paper is to design full- and reduced-order filters, such that the stochastic stability and dissipative filtering performance for the filtering error system can be guaranteed. The collaborative design conditions for the desired filter and the dynamic quantizers are expressed in the form of linear matrix inequalities. Finally, simulation results are used to illustrate the feasibility of the proposed filtering scheme.

Keywords: dissipative filtering; T–S fuzzy systems; dynamic quantization; data packet dropouts (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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