Composite control of non-linear singularly perturbed systems: A geometric approach: International Journal of Control

P.M. Sharkey; J. O’reilly

doi:10.1080/00207178808906343

Composite control of non-linear singularly perturbed systems: A geometric approach: International Journal of Control

P.M. Sharkey
, J. O’reilly

Research output: Contribution to journal › Article › peer-review

22 Scopus citations

Abstract

Using a geometric approach, a composite control—the sum of a slow control and a fast control—is derived for a general class of non-linear singularly perturbed systems. A new and simpler method of composite control design is proposed whereby the fast control is completely designed at the outset. The slow control is then free to be chosen such that the slow integral manifold of the original system approximates a desired design manifold to within any specified order of ϵ accuracy. © 1988 Taylor & Francis Group, LLC.

Original language	British English
Pages (from-to)	2491-2506
Number of pages	16
Journal	Int J Control
Volume	48
Issue number	6
DOIs	https://doi.org/10.1080/00207178808906343
State	Published - 1988

Keywords

Mathematical Techniques
Composite Control
Fast Control
Integral Manifolds
Singularly Perturbed Systems
Slow Control
State Feedback
Control Systems, Nonlinear

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10.1080/00207178808906343

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abstract = "Using a geometric approach, a composite control—the sum of a slow control and a fast control—is derived for a general class of non-linear singularly perturbed systems. A new and simpler method of composite control design is proposed whereby the fast control is completely designed at the outset. The slow control is then free to be chosen such that the slow integral manifold of the original system approximates a desired design manifold to within any specified order of ϵ accuracy. {\textcopyright} 1988 Taylor \& Francis Group, LLC.",

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AB - Using a geometric approach, a composite control—the sum of a slow control and a fast control—is derived for a general class of non-linear singularly perturbed systems. A new and simpler method of composite control design is proposed whereby the fast control is completely designed at the outset. The slow control is then free to be chosen such that the slow integral manifold of the original system approximates a desired design manifold to within any specified order of ϵ accuracy. © 1988 Taylor & Francis Group, LLC.

KW - Mathematical Techniques

KW - Composite Control

KW - Fast Control

KW - Integral Manifolds

KW - Singularly Perturbed Systems

KW - Slow Control

KW - State Feedback

KW - Control Systems, Nonlinear

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JF - Int J Control

IS - 6

ER -

Composite control of non-linear singularly perturbed systems: A geometric approach: International Journal of Control

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Keywords

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