H∞ State Estimation for Discrete-Time Nonlinear Complex Networks with Sensor Saturation and Fading Channels: The Partial-Nodes-Based Case

Abstract

In this article, the issue of partial-nodes-based (PNB) H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> state estimation is studied for a class of discrete-time nonlinear complex networks (CNs) with sensor saturation and fading channels. Considering that the output signals of certain network nodes may be unavailable in harsh environments, only part of the measurement outputs are used to estimate the state information of the CNs. Moreover, owing to the safety and physical constraints, the measurement outputs are subject to the sensor saturations. A multiple fading channel model with correlation channel coefficient is considered to describe the characteristics of measurement outputs transmitted through diverse fading channels. By utilizing the Lyapunov stability approach, a sufficient condition is proposed to ensure that the estimation error system is exponentially stable and meets the specified H <inf xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">∞</inf> performance. Besides, the gain matrices of the estimators are obtained by solving a certain matrix inequality. At last, an illustrated example is shown to testify the effectiveness of the proposed method.