Stability analysis of wavelet-based controller design

Yan Wu; Robert J. Veillette; Dale H. Mugler; Tom T. Hartley

doi:10.1109/acc.2001.945746

Stability analysis of wavelet-based controller design

Yan Wu
, Robert J. Veillette
, Dale H. Mugler
, Tom T. Hartley

Mathematical Sciences

Georgia Southern University
University of Akron

Research output: Contribution to journal › Conference article

4 Scopus citations

Abstract

The stability property of a wavelet-based controller design is investigated by applying it to linear time-invariant (LTI) systems. Bounds for the design parameters of a wavelet controller are obtained, which guarantee stability of the wavelet-controlled LTI plants. Numerical simulations indicate that those bounds are well achievable and applicable in design.

Original language	English
Pages (from-to)	4826-4827
Number of pages	2
Journal	Proceedings of the American Control Conference
Volume	6
DOIs	https://doi.org/10.1109/acc.2001.945746
State	Published - Jan 1 2001

Scopus Subject Areas

Electrical and Electronic Engineering

Keywords

Linear time invariant (LTI) system
Lyapunov stability
Morlet wavelet
Wavelet network

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10.1109/acc.2001.945746

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title = "Stability analysis of wavelet-based controller design",

abstract = "The stability property of a wavelet-based controller design is investigated by applying it to linear time-invariant (LTI) systems. Bounds for the design parameters of a wavelet controller are obtained, which guarantee stability of the wavelet-controlled LTI plants. Numerical simulations indicate that those bounds are well achievable and applicable in design.",

keywords = "Linear time invariant (LTI) system, Lyapunov stability, Morlet wavelet, Wavelet network",

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AU - Veillette, Robert J.

AU - Mugler, Dale H.

AU - Hartley, Tom T.

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PY - 2001/1/1

Y1 - 2001/1/1

N2 - The stability property of a wavelet-based controller design is investigated by applying it to linear time-invariant (LTI) systems. Bounds for the design parameters of a wavelet controller are obtained, which guarantee stability of the wavelet-controlled LTI plants. Numerical simulations indicate that those bounds are well achievable and applicable in design.

AB - The stability property of a wavelet-based controller design is investigated by applying it to linear time-invariant (LTI) systems. Bounds for the design parameters of a wavelet controller are obtained, which guarantee stability of the wavelet-controlled LTI plants. Numerical simulations indicate that those bounds are well achievable and applicable in design.

KW - Linear time invariant (LTI) system

KW - Lyapunov stability

KW - Morlet wavelet

KW - Wavelet network

UR - https://www.scopus.com/pages/publications/0034841380

U2 - 10.1109/acc.2001.945746

DO - 10.1109/acc.2001.945746

M3 - Conference article

AN - SCOPUS:0034841380

SN - 0743-1619

VL - 6

SP - 4826

EP - 4827

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

ER -

Stability analysis of wavelet-based controller design

Abstract

Scopus Subject Areas

Keywords

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