Invariant set analysis for discrete-time polynomial nonlinear feedback systems with dynamic quantizers

Hiroyuki Ichihara, Kenji Sawada

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper deals with invariant set analysis for discrete-time polynomial nonlinear feedback single input and single output systems with dynamic quantizers where the control input signal takes discrete values. The paper starts with invariant set analysis for discrete-time polynomial nonlinear systems with bounded disturbances. Since the quantization error is also bounded, analysis of feedback systems including the dynamic quantizers can be reduced to invariant set analysis. Some sufficient conditions for analysis are obtained that can be solved by numerical optimization. Examples illustrate upper bounds of a cost function based on the proposed analysis method.

Original languageEnglish
Title of host publication2015 10th Asian Control Conference
Subtitle of host publicationEmerging Control Techniques for a Sustainable World, ASCC 2015
EditorsHazlina Selamat, Hafiz Rashidi Haruna Ramli, Ahmad Athif Mohd Faudzi, Ribhan Zafira Abdul Rahman, Asnor Juraiza Ishak, Azura Che Soh, Siti Anom Ahmad
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781479978625
DOIs
Publication statusPublished - 8 Sep 2015
Event10th Asian Control Conference, ASCC 2015 - Kota Kinabalu, Malaysia
Duration: 31 May 20153 Jun 2015

Publication series

Name2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015

Conference

Conference10th Asian Control Conference, ASCC 2015
CountryMalaysia
CityKota Kinabalu
Period31/05/153/06/15

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Ichihara, H., & Sawada, K. (2015). Invariant set analysis for discrete-time polynomial nonlinear feedback systems with dynamic quantizers. In H. Selamat, H. R. H. Ramli, A. A. M. Faudzi, R. Z. A. Rahman, A. J. Ishak, A. C. Soh, & S. A. Ahmad (Eds.), 2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015 [7244573] (2015 10th Asian Control Conference: Emerging Control Techniques for a Sustainable World, ASCC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ASCC.2015.7244573