6533b859fe1ef96bd12b835b

RESEARCH PRODUCT

Robust H-Infinity Filter Design for Uncertain Linear Systems Over Network with Network-Induced Delays and Output Quantization

Hamid Reza Karimi

subject

AttenuationLinear systemoutput quantizationTelecommunications networklcsh:QA75.5-76.95Computer Science ApplicationsFilter designQuantization (physics)Exponential stabilityControl and Systems EngineeringControl theoryModeling and SimulationBounded functionFilter designConvex optimizationnetworklcsh:Electronic computers. Computer scienceSoftwareMathematics

description

This paper investigates a convex optimization approach to the problem of robust H-Infinity filtering for uncertain linear systems connected over a common digital communication network. We consider the case where quantizers are static and the parameter uncertainties are norm bounded. Firstly, we propose a new model to investigate the effect of both the output quantization levels and the network conditions. Secondly, by introducing a descriptor technique, using Lyapunov-Krasovskii functional and a suitable change of variables, new required sufficient conditions are established in terms of delay-dependent linear matrix inequalities (LMIs) for the existence of the desired network-based quantized filters with simultaneous consideration of network induced delays and measurement quantization. The explicit expression of the filters is derived to satisfy both asymptotic stability and a prescribed level of disturbance attenuation for all admissible norm bounded uncertainties.

10.4173/mic.2009.1.3http://www.mic-journal.no/PDF/2009/MIC-2009-1-3.pdf