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On the distinguishability and observer design for single-input single-output continuous-time switched affine systems under bounded disturbances with application to chaos-based modulation
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SYSNO ASEP 0471410 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title On the distinguishability and observer design for single-input single-output continuous-time switched affine systems under bounded disturbances with application to chaos-based modulation Author(s) Gómez-Gutiérrez, D. (MX)
Renato Vázquez, C. (MX)
Čelikovský, Sergej (UTIA-B) RID, ORCID
Ramírez-Trevino, A. (MX)
Castillo-Toledo, B. (MX)Number of authors 5 Source Title European Journal of Control - ISSN 0947-3580
Roč. 34, č. 1 (2017), s. 49-58Number of pages 10 s. Publication form Print - P Language eng - English Country GB - United Kingdom Keywords Unknown input observers ; Chaos-based modulation ; Chaotic synchronization ; Message-embedding Subject RIV BC - Control Systems Theory OECD category Automation and control systems R&D Projects GA13-20433S GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 UT WOS 000397836300006 EID SCOPUS 85008498736 DOI 10.1016/j.ejcon.2016.12.005 Annotation Switched Affine Systems (SAS's) is a class of Hybrid Systems composed of a collection of Affine Systems (AS's) and a switching signal that determines, at each time instant, the evolving affine subsystem. This paper is concerned with the observability and observer design for single-input single-output (SISO) SAS's under unknown perturbation, for the case that no information about the switching signal is available. It is firstly demonstrated that in the presence of disturbances every pair of AS's is always indistinguishable from the continuous output, meaning that it is not possible to infer the evolving AS by using only the information provided by the output of the SAS. Nevertheless, by taking advantage of the knowledge on the disturbance bound, new distinguishability conditions are derived, making possible to distinguish the evolving AS. By using these new distinguishability conditions, an observer scheme for SISO SAS's, subject to unknown switching signal and unknown perturbations, is presented. Such an observer scheme determines in finite-time the evolving AS. Furthermore, it estimates both the state of the system and the disturbance. Finally, the proposed observer scheme is effectively applied for a non-autonomous chaotic modulation application, which is an attractive method for spread-spectrum secure communication in which the message is fed as a disturbance to a chaotic SAS and the output is then transmitted through an open channel to a receiver, which is an observer algorithm that recovers the message (the disturbance) from the output signal. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2018
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