Sliding orbits and their bifurcations in relay feedback systems

M di Bernardo; K Johansson; F Vasca

Sliding orbits and their bifurcations in relay feedback systems

M di Bernardo, K Johansson, F Vasca

Research output: Working paper

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Abstract

This paper is concerned with the analysis of periodic solutions and their bifurcations in relay control feedback systems. The occurence of periodic solutions characterised by sliding section is outlined and particular care is taken in studying the bifurcation leading to their formation. Discrete-time mappings are introduced and used to characterise the regions of existence and stability of various periodic orbits. Also, bifurcations of sliding orbits into more complex solutions such as multi-sliding orbits are investigated.

Original language	English
Publication status	Unpublished - 1999

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Engineering Mathematics Research Group

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http://hdl.handle.net/1983/461

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1 Conference Contribution (Conference Proceeding)

Sliding Orbits and their Bifurcations in Relay Feedback Systems
Di Bernardo, M., Johansson, K. & Vasca, F., 1999, Proc CDC99 (IEEE Conf on Decision and Control) Phoenix, USA. p. 708 - 713
Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Cite this

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title = "Sliding orbits and their bifurcations in relay feedback systems",

abstract = "This paper is concerned with the analysis of periodic solutions and their bifurcations in relay control feedback systems. The occurence of periodic solutions characterised by sliding section is outlined and particular care is taken in studying the bifurcation leading to their formation. Discrete-time mappings are introduced and used to characterise the regions of existence and stability of various periodic orbits. Also, bifurcations of sliding orbits into more complex solutions such as multi-sliding orbits are investigated.",

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T1 - Sliding orbits and their bifurcations in relay feedback systems

AU - di Bernardo, M

AU - Johansson, K

AU - Vasca, F

PY - 1999

Y1 - 1999

N2 - This paper is concerned with the analysis of periodic solutions and their bifurcations in relay control feedback systems. The occurence of periodic solutions characterised by sliding section is outlined and particular care is taken in studying the bifurcation leading to their formation. Discrete-time mappings are introduced and used to characterise the regions of existence and stability of various periodic orbits. Also, bifurcations of sliding orbits into more complex solutions such as multi-sliding orbits are investigated.

AB - This paper is concerned with the analysis of periodic solutions and their bifurcations in relay control feedback systems. The occurence of periodic solutions characterised by sliding section is outlined and particular care is taken in studying the bifurcation leading to their formation. Discrete-time mappings are introduced and used to characterise the regions of existence and stability of various periodic orbits. Also, bifurcations of sliding orbits into more complex solutions such as multi-sliding orbits are investigated.

M3 - Working paper

BT - Sliding orbits and their bifurcations in relay feedback systems

ER -

Sliding orbits and their bifurcations in relay feedback systems

Abstract

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Research output

Sliding Orbits and their Bifurcations in Relay Feedback Systems

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