Event‐triggered finite‐time reliable filtering of Markov jump nonlinear systems subject to exponential dissipativity

Abstract

This article is concerned with the dissipativity-based finite-time filtering problem for a class of Markov jump systems (MJSs) using an event-triggered mechanism (ETM). First, two mutually independent Bernoulli sequences are introduced to model the probability distributions of randomly occurring uncertainty (ROU) and randomly occurring nonlinearity (RON), respectively. Second, due to the limited communication capacity, a mode-dependent ETM from sensor to filter is applied, which alleviated the data transmission pressure effectively. Then, based on stochastic finite-time analysis, full-order reliable filter is designed and sufficient conditions are given in term of linear matrix inequality (LMI), which guarantee the stochastic finite-time boundedness of the filtering error system subject to exponential dissipativity. Finally, a numerical example is utilized to illustrate the applicability and effectiveness of the proposed filter design method.

Event‐triggered fault detection for discrete‐time Markovian jump systems in finite frequency domain

“…It this work, the TPs of the jumping process are deemed to be partially accessible. 3 For explanation concisely, for all i ∈ , let…”

“…1 Because these dynamic systems are uncertain in dynamic changes, and these changes may be caused by random faults of components, changes in the correlation between subsystems, sudden environmental disturbances, etc. 2,3 Markovian jump (MJ) systems are effective models for describing the above systems. Since MJ systems are closely related to practical problems in control engineering, they are extensively reported in many valuable studies.…”

“…11 Up to date, the application of ETS in MJ systems with time-delays has made great advancements. 3,[12][13][14] To be specific, Reference 12 discusses the design of the event-based dissipative filtering approach for time-delay singular neural networks subject to MJ parameters. In Reference 3, a strictly dissipative stabilization method for multiple-memory MJ systems with time-varying delays is constructed by applying the ETS.…”

Event‐based finite‐time H∞ filtering of discrete‐time singular jump network systems

“…Nowadays, many topics related to the EB approach have been studied in terms of a predefined performance index, such as robust EB and H ∞ control, 15,16 EB decentralized control, 17 EB fault detection, 18 EB output quantized control, 19 EB tracking control, 20 EB output synchronization, 21 and EB FT filter design. 22,23 Until recently, the EB filtering analysis and design problems of singular systems in Reference 8 were studied by utilizing filter equivalence and slack matrix variable techniques.…”

Stochastic stability and stabilization for stochastic differential semi‐Markov jump systems with incremental quadratic constraints

“…Li et al 12 studied the state estimation problem of a class of positive MJSs. When there are disturbances in the systems, the filter for MJSs was designed by Gao and Deng 13 …”