Stabilizing a Class of Nonlinear Systems Based on Approximate Feedback Linearization

Ho-Lim CHOI; Jong-Tae LIM

doi:10.1093/ietfec/e88-a.6.1626

Stabilizing a Class of Nonlinear Systems Based on Approximate Feedback Linearization

Ho-Lim CHOI, Jong-Tae LIM

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We present a method of stabilizing a class of nonlinear systems which are not necessarily feedback linearizable. First, we show a new way of constructing a diffeomorphism to transform a class of nonlinear systems to the feedback linearized form with perturbation. Then, we propose a semi-globally stabilizing control law for nonlinear systems that are connected by a chain of integrator perturbed by arbitrary nonlinear terms. In our approach, we have flexibility in choosing a diffeomorphism where the system is not restricted to involutivity and this leads to reduction in computational burden and flexibility in controller design.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.6 pp.1626-1630

Publication Date: 2005/06/01

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DOI: 10.1093/ietfec/e88-a.6.1626

Type of Manuscript: LETTER

Category: Systems and Control

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Ho-Lim CHOI, Jong-Tae LIM, "Stabilizing a Class of Nonlinear Systems Based on Approximate Feedback Linearization" in IEICE TRANSACTIONS on Fundamentals, vol. E88-A, no. 6, pp. 1626-1630, June 2005, doi: 10.1093/ietfec/e88-a.6.1626.
Abstract: We present a method of stabilizing a class of nonlinear systems which are not necessarily feedback linearizable. First, we show a new way of constructing a diffeomorphism to transform a class of nonlinear systems to the feedback linearized form with perturbation. Then, we propose a semi-globally stabilizing control law for nonlinear systems that are connected by a chain of integrator perturbed by arbitrary nonlinear terms. In our approach, we have flexibility in choosing a diffeomorphism where the system is not restricted to involutivity and this leads to reduction in computational burden and flexibility in controller design.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.6.1626/_p

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@ARTICLE{e88-a_6_1626,
author={Ho-Lim CHOI, Jong-Tae LIM, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Stabilizing a Class of Nonlinear Systems Based on Approximate Feedback Linearization},
year={2005},
volume={E88-A},
number={6},
pages={1626-1630},
abstract={We present a method of stabilizing a class of nonlinear systems which are not necessarily feedback linearizable. First, we show a new way of constructing a diffeomorphism to transform a class of nonlinear systems to the feedback linearized form with perturbation. Then, we propose a semi-globally stabilizing control law for nonlinear systems that are connected by a chain of integrator perturbed by arbitrary nonlinear terms. In our approach, we have flexibility in choosing a diffeomorphism where the system is not restricted to involutivity and this leads to reduction in computational burden and flexibility in controller design.},
keywords={},
doi={10.1093/ietfec/e88-a.6.1626},
ISSN={},
month={June},}

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TY - JOUR
TI - Stabilizing a Class of Nonlinear Systems Based on Approximate Feedback Linearization
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1626
EP - 1630
AU - Ho-Lim CHOI
AU - Jong-Tae LIM
PY - 2005
DO - 10.1093/ietfec/e88-a.6.1626
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 6
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - June 2005
AB - We present a method of stabilizing a class of nonlinear systems which are not necessarily feedback linearizable. First, we show a new way of constructing a diffeomorphism to transform a class of nonlinear systems to the feedback linearized form with perturbation. Then, we propose a semi-globally stabilizing control law for nonlinear systems that are connected by a chain of integrator perturbed by arbitrary nonlinear terms. In our approach, we have flexibility in choosing a diffeomorphism where the system is not restricted to involutivity and this leads to reduction in computational burden and flexibility in controller design.
ER -