Stability Analysis of High-Resolution Quantized Feedback Systems

Lim, L. H. I. and Loh, A. P. (2014) Stability Analysis of High-Resolution Quantized Feedback Systems. In: 8th Asia Modelling Symposium (AMS), Taipei, China, 23-25 Sep 2014, pp. 33-38. ISBN 9781479964864 (doi:10.1109/AMS.2014.18)

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Abstract

In this paper, we study the stability of a high resolution quantized feedback system. It is well known that a quantized feedback system can be stabilised by increasing the resolution of the quantizer. However, limit cycles have also been found under certain conditions at high resolution. These necessary and sufficient conditions for the existence of limit cycles are examined. Solutions for the limit cycle period and switching instants obtained via the inverse-free Newton's method are used to assess the stability of the limit cycle under high resolution with the Poincaré map. A bound on the quantization resolution is identified for a stable limit cycle. Analytical results on the existence of limit cycles in first and second order systems are also presented.

Item Type:Conference Proceedings
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Lim, Dr Li Hong Idris
Authors: Lim, L. H. I., and Loh, A. P.
College/School:College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
ISBN:9781479964864
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