Distributed H\infty Filtering for Switched Stochastic Delayed Systems Over Sensor Networks With Fading Measurements

• Published in: IEEE transactions on cybernetics Vol. 50; no. 1; pp. 2 - 14
• Main Authors: Chen, Yun, Wang, Zidong, Yuan, Yuan, Date, Paresh
• Format: Journal Article
• Language: English
• Published: IEEE 01.01.2020
• Subjects: Average dwell time (ADT); distributed <italic xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">H ∞ filtering; Fading channels; fading measurements; Network topology; sensor networks; Stochastic processes; switched stochastic systems; Switches; Symmetric matrices; Topology; Wireless sensor networks
• ISSN: 2168-2267; 2168-2275
• DOI: 10.1109/TCYB.2018.2852290

This paper is concerned with the problem of distributed H∞ filtering for switched stochastic time-delay systems with fading measurements over sensor networks. The underlying target plants are subject to fading measurements where the fading rates are described by continuous-time random variables with known statistical properties dependent on the system modes. The adjacency matrices characterizing the topology of the sensor networks are also allowed to be mode-dependent. Based on the multiple Lyapunov functional approach and average dwell-time concept, the distributed H ∞ filter is designed by means of the convex optimization scheme. A dedicated technique is developed via a simple algebraic equality in order to avoid solving a transcendental equation used in the existing results. With the designed filter, the error dynamics of the state estimation is guaranteed to have the mean-square exponential stability with a prescribed H ∞ disturbance attenuation level. Finally, a numerical example is used to demonstrate the effectiveness of the method.