Stabilization of a Class of Feedforward and Non-feedforward Nonlinear Systems with a Large Delay in the Input via LMI Approach

Ho-Lim CHOI

doi:10.1587/transfun.E94.A.1753

Stabilization of a Class of Feedforward and Non-feedforward Nonlinear Systems with a Large Delay in the Input via LMI Approach

Ho-Lim CHOI

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We consider a stabilization problem of a class of input-delayed nonlinear systems that have not only feedforward, but also some non-feedforward nonlinearity. While there are some existing results that deal with input-delayed non-feedforward nonlinear systems, they often assume a small input delay. It has been often the case that for a large input delay, the results are limited to only feedforward systems. In this letter, combined with the LMI approach in [3] and the reduction method in [5], we show that some feedforward and non-feedforward systems with a large delay in the input can be stabilized via the proposed controller.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E94-A No.8 pp.1753-1755

Publication Date: 2011/08/01

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Online ISSN: 1745-1337

DOI: 10.1587/transfun.E94.A.1753

Type of Manuscript: LETTER

Category: Systems and Control

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Ho-Lim CHOI, "Stabilization of a Class of Feedforward and Non-feedforward Nonlinear Systems with a Large Delay in the Input via LMI Approach" in IEICE TRANSACTIONS on Fundamentals, vol. E94-A, no. 8, pp. 1753-1755, August 2011, doi: 10.1587/transfun.E94.A.1753.
Abstract: We consider a stabilization problem of a class of input-delayed nonlinear systems that have not only feedforward, but also some non-feedforward nonlinearity. While there are some existing results that deal with input-delayed non-feedforward nonlinear systems, they often assume a small input delay. It has been often the case that for a large input delay, the results are limited to only feedforward systems. In this letter, combined with the LMI approach in [3] and the reduction method in [5], we show that some feedforward and non-feedforward systems with a large delay in the input can be stabilized via the proposed controller.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E94.A.1753/_p

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@ARTICLE{e94-a_8_1753,
author={Ho-Lim CHOI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Stabilization of a Class of Feedforward and Non-feedforward Nonlinear Systems with a Large Delay in the Input via LMI Approach},
year={2011},
volume={E94-A},
number={8},
pages={1753-1755},
abstract={We consider a stabilization problem of a class of input-delayed nonlinear systems that have not only feedforward, but also some non-feedforward nonlinearity. While there are some existing results that deal with input-delayed non-feedforward nonlinear systems, they often assume a small input delay. It has been often the case that for a large input delay, the results are limited to only feedforward systems. In this letter, combined with the LMI approach in [3] and the reduction method in [5], we show that some feedforward and non-feedforward systems with a large delay in the input can be stabilized via the proposed controller.},
keywords={},
doi={10.1587/transfun.E94.A.1753},
ISSN={1745-1337},
month={August},}

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TY - JOUR
TI - Stabilization of a Class of Feedforward and Non-feedforward Nonlinear Systems with a Large Delay in the Input via LMI Approach
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1753
EP - 1755
AU - Ho-Lim CHOI
PY - 2011
DO - 10.1587/transfun.E94.A.1753
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E94-A
IS - 8
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - August 2011
AB - We consider a stabilization problem of a class of input-delayed nonlinear systems that have not only feedforward, but also some non-feedforward nonlinearity. While there are some existing results that deal with input-delayed non-feedforward nonlinear systems, they often assume a small input delay. It has been often the case that for a large input delay, the results are limited to only feedforward systems. In this letter, combined with the LMI approach in [3] and the reduction method in [5], we show that some feedforward and non-feedforward systems with a large delay in the input can be stabilized via the proposed controller.
ER -