Distributed <inline-formula> <tex-math notation="LaTeX">$H_{\infty}$ </tex-math> </inline-formula> Filtering for Switched Repeated Scalar Nonlinear Systems With Randomly Occurred Sensor Nonlinearities and Asynchronous Switching

Abstract

This paper considers the problem of distributed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> filtering for a class of switched repeated scalar nonlinear systems with randomly occurred sensor nonlinearities and asynchronous switching due to practical reasons. The possibility of randomly occurred sensor nonlinearities is described by a Bernoulli stochastic variable, and the asynchronous switching filtering means that the mode of the plant is different from the mode of the designed filter possibly. A distributed filtering network is used to estimate the system state instead of a filter to improve reliability in case of faults of the filter. A distributed mode-dependent filter is designed by constructing a unified mode-dependent Lyapunov function and solving a set of linear matrix inequalities. Some novel sufficient conditions are obtained by using the average dwell time switching mechanism such that the augmented filtering error system is stochastically exponentially stable and achieves a prescribed H <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</sub> disturbance attention index. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed designed method.