Distributed H_∞ Consensus Fault Detection for Uncertain T‐S Fuzzy Systems with Time‐Varying Delays Over Lossy Sensor Networks

Abstract

This paper investigates the issue of distributed H ∞ consensus fault detection (FD) for uncertain T-S fuzzy systems with time-varying delays over lossy sensor networks. One set of Bernoulli distributed white sequence is introduced to govern the multiple probabilistic packet losses over sensor network. The augment fault detection dynamics system is first transformed into the form of interconnect ion of two subsystems by applying an input-output method. Through available output measurements from not only the individual sensor but also its neighboring sensors, a sufficient condition is established for the desired of distributed H ∞ consensus fuzzy fault detection filter (FFDF) to ensure the fault detection dynamics system to be mean-square asymptotically stable with an average performance. At the same time, the solution of the parameters for the distributed H ∞ consensus FFDF is characterized in terms of the feasibility of a convex optimization problem. Finally, an illustrative example is provided to illustrate the effectiveness of the proposed approaches over the lossy sensor networks.

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