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

Authors: Hamid Reza Karimi,
Affiliation: University of Agder
Reference: 2009, Vol 30, No 1, pp. 27-37.

Keywords: Filter design, network, output quantization, delay

Abstract: 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.

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BibTeX:
@article{MIC-2009-1-3,
  title={{Robust H-Infinity Filter Design for Uncertain Linear Systems Over Network with Network-Induced Delays and Output Quantization}},
  author={Karimi, Hamid Reza},
  journal={Modeling, Identification and Control},
  volume={30},
  number={1},
  pages={27--37},
  year={2009},
  doi={10.4173/mic.2009.1.3},
  publisher={Norwegian Society of Automatic Control}
};