Asynchronous dissipative filtering for T–S fuzzy singular switched positive delay systems with quantization effects and missing measurements

This article considers the design problem of an asynchronous dissipative filter for a class of Takagi–Sugeno (T–S) fuzzy singular positive delay systems subject to state-dependent switching, quantization effects, and missing measurements. Firstly, the quantization mechanism is introduced to reduce data conflicts and transmission costs. Secondly, the phenomena of missing measurements and asynchronous switching are also taken into account to design a filter that is more aligned with reality. The focus of this article is on the design of a filter that can ensure the positivity, causality, regularity, stochastic stability, and (ζ,η)-α-dissipativity of the filtering error system in the simultaneous presence of quantization effects, probabilistic missing measurements, and asynchronous switching phenomena. Additionally, the related sufficient criteria are presented in the manner of linear programming (LP) and the design method of filter gain matrices is also specifically provided. Finally, the effectiveness and correctness of the proposed results are demonstrated through two numerical examples.