In this paper we analyze an asymptotic stability of nonlinear singularly perturbed systems and propose a composite control with gain scheduling where the fast controller is the gain scheduled controller and the slow state plays a role of slowly varying parameters in gain scheduling. Specifically, the slow controller is designed by the slow manifold to stabilize the reduced slow system. As a result, the slow manifold of the system is the same as the designed manifold.
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Yong-Seob SHIN, Jong-Tae LIM, "Control of Nonlinear Singularly Perturbed Systems Using Gain Scheduling" in IEICE TRANSACTIONS on Fundamentals,
vol. E85-A, no. 9, pp. 2175-2179, September 2002, doi: .
Abstract: In this paper we analyze an asymptotic stability of nonlinear singularly perturbed systems and propose a composite control with gain scheduling where the fast controller is the gain scheduled controller and the slow state plays a role of slowly varying parameters in gain scheduling. Specifically, the slow controller is designed by the slow manifold to stabilize the reduced slow system. As a result, the slow manifold of the system is the same as the designed manifold.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e85-a_9_2175/_p
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@ARTICLE{e85-a_9_2175,
author={Yong-Seob SHIN, Jong-Tae LIM, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Control of Nonlinear Singularly Perturbed Systems Using Gain Scheduling},
year={2002},
volume={E85-A},
number={9},
pages={2175-2179},
abstract={In this paper we analyze an asymptotic stability of nonlinear singularly perturbed systems and propose a composite control with gain scheduling where the fast controller is the gain scheduled controller and the slow state plays a role of slowly varying parameters in gain scheduling. Specifically, the slow controller is designed by the slow manifold to stabilize the reduced slow system. As a result, the slow manifold of the system is the same as the designed manifold.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - Control of Nonlinear Singularly Perturbed Systems Using Gain Scheduling
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2175
EP - 2179
AU - Yong-Seob SHIN
AU - Jong-Tae LIM
PY - 2002
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E85-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2002
AB - In this paper we analyze an asymptotic stability of nonlinear singularly perturbed systems and propose a composite control with gain scheduling where the fast controller is the gain scheduled controller and the slow state plays a role of slowly varying parameters in gain scheduling. Specifically, the slow controller is designed by the slow manifold to stabilize the reduced slow system. As a result, the slow manifold of the system is the same as the designed manifold.
ER -