Quantized H_∞ filtering for discrete-time systems over fading channels

Abstract

This paper addresses the problem of quantized [Formula: see text] filtering for multi-output discrete-time systems over independent identically distributed (i.i.d.) fading channels and Markov fading channels, respectively. The measurement outputs are quantized by a logarithmic quantizer, and then transmitted to the filter over fading channels. For the i.i.d. fading channels, the stochastic multiplicative noise form is used to model the unreliable communication environment. For the Markov fading channels, a set of Markov channel state processes is introduced to model time-varying fading channels, which characterizes various configurations of the physical communication environment and/or different channel fading amplitudes. The sufficient condition for stochastic stability with a prescribed [Formula: see text] performance is obtained by using a Lyapunov method and matrix decoupling technique. The corresponding filter design casts into a convex optimization problem. Finally, simulation results are provided to illustrate the effectiveness of our results.

H∞ control for a class of two-dimensional linear systems with fading measurements

“…Because of its low cost, high reliability and easy installation, the theoretical research of NCS has been greatly developed. However, due to the insertion of the communication network, the channels fading (Chen et al, 2018a, 2018b; Ren et al, 2018), transmission delay (Liu et al, 2007), network attack (Keller et al, 2016; Sandberg et al, 2015) and data dropouts (Huang and Sun, 2018) and other network-induced issues in the control systems will inevitably deteriorate the control performance, increase the system complexity and even destabilize the controlled systems. Among the various challenging problems caused by network, channels fading phenomenon is one of the most important reasons for the performance degradation of closed-loop systems.…”