Stability of Discrete-time Control Systems with Uniform and Logarithmic Quantizers

This paper deals with stability analysis of discrete-time linear systems involving finite quantizers on the input of the controlled plant. Two kinds of quantization are analyzed: uniform and logarithmic. Through LMI-based conditions, an attractor of the state trajectories and a set of admissible ini...

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Bibliographic Details
Main Authors: Campos, G.C., da Silva, J.M. Gomes, Tarbouriech, S., Pereira, C.E.
Format: Conference Proceeding
Language:English
Subjects:
attractors
networked contro
quantized control
stability
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Summary:This paper deals with stability analysis of discrete-time linear systems involving finite quantizers on the input of the controlled plant. Two kinds of quantization are analyzed: uniform and logarithmic. Through LMI-based conditions, an attractor of the state trajectories and a set of admissible initial conditions are determined. A method is proposed to compare the performances of the two kinds of quantization in terms of the dimensions of the attractor, considering a scenario of Networked Control Systems (NCS). Computational issues are discussed and a numerical example is presented to validate the work.
ISSN:2405-8963
2405-8963
DOI:10.1016/j.ifacol.2016.11.142