Adaptive observers for robust synchronization of chaotic systems
Identifieur interne : 003313 ( Main/Exploration ); précédent : 003312; suivant : 003314Adaptive observers for robust synchronization of chaotic systems
Auteurs : Antonio Loria [France] ; Elena Panteley [France] ; Arturo Zavala [Mexique]Source :
- IEEE Transactions on Circuits and Systems Part 1 Fundamental Theory and Applications [ 1057-7122 ] ; 2009-12-01.
English descriptors
Abstract
We address the problem of master-slave synchronization of chaotic systems under parameter uncertainty and with partial measurements. Our approach is based on observer-design theory hence, we view the master dynamics as a system of differential equations with a state and a measurable output and we design an observer (tantamount to the slave system) which reconstructs the dynamic behavior of the master. The main technical condition that we impose is persistency of excitation (PE), a property well studied in the adaptive control literature. In the case of unknown parameters and partial measurements we show that synchronization is achievable in a practical sense, that is, with "small" error. We also illustrate our methods on particular examples of chaotic oscillators such as the Lorenz and the LÜ oscillators. Theoretical proofs are provided based on recent results on stability theory for time-varying systems.
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DOI: 10.1109/TCSI.2009.2016636
Affiliations:
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Our approach is based on observer-design theory hence, we view the master dynamics as a system of differential equations with a state and a measurable output and we design an observer (tantamount to the slave system) which reconstructs the dynamic behavior of the master. The main technical condition that we impose is persistency of excitation (PE), a property well studied in the adaptive control literature. In the case of unknown parameters and partial measurements we show that synchronization is achievable in a practical sense, that is, with "small" error. We also illustrate our methods on particular examples of chaotic oscillators such as the Lorenz and the LÜ oscillators. Theoretical proofs are provided based on recent results on stability theory for time-varying systems.</div></front></TEI><affiliations><list><country><li>France</li><li>Mexique</li></country></list><tree><country name="France"><noRegion><name sortKey="Loria, Antonio" sort="Loria, Antonio" uniqKey="Loria A" first="Antonio" last="Loria">Antonio Loria</name></noRegion><name sortKey="Panteley, Elena" sort="Panteley, Elena" uniqKey="Panteley E" first="Elena" last="Panteley">Elena Panteley</name></country><country name="Mexique"><noRegion><name sortKey="Zavala, Arturo" sort="Zavala, Arturo" uniqKey="Zavala A" first="Arturo" last="Zavala">Arturo Zavala</name></noRegion></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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