Limit cycles in high-resolution quantized feedback systems

Lim, L. H. I. and Loh, A. P. (2014) Limit cycles in high-resolution quantized feedback systems. International Journal of Simulation Systems, Science and Technology, 15(6), pp. 1-7.

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Publisher's URL: http://ijssst.info/Vol-15/No-6/cover-15-6.htm

Abstract

In this paper, the existence of limit cycles in high-resolution quantized feedback systems is examined. It is well known that the relay and the quantized feedback systems exhibit self-oscillations, due to their switching nature. However, the quantizer is a more general nonlinearity as compared to the relay, due to its switching at multiple discrete levels. An extension of periodic switching conditions uncovers the existence of self-oscillations in some systems under high quantization resolution. Multiple limit cycle solutions of switching instants and periods have been found, depending on the initial states of the system. Further analysis on the stability of the limit cycle via the Jacobian of the Poincaré map reveals numerical bounds on the quantization step size for a stable limit cycle. Analytical results on the existence of limit cycles in first and second order systems are also presented.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Lim, Dr Li Hong Idris
Authors: Lim, L. H. I., and Loh, A. P.
Subjects:T Technology > TK Electrical engineering. Electronics Nuclear engineering
College/School:College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering
Journal Name:International Journal of Simulation Systems, Science and Technology
Publisher:United Kingdom Simulation Society
ISSN:1473-8031
ISSN (Online):1473-804X

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