The State Feedback Control Based on Fuzzy Observer for T-S Fuzzy Systems with Unknown Time-Delay
Summary :
In this paper, we present an output feedback controller using a fuzzy controller and observer for nonlinear systems with unknown time-delay. Recently, Cao et al. proposed a stabilization method for the nonlinear time-delay systems using a fuzzy controller when the time-delay is known. In general, however, it is impossible to know or measure this time-varying delay. The proposed method requires only the upper bound of the derivative of the time-delay. We represent the nonlinear system with the unknown time-delay by Takagi-Sugeno (T-S) fuzzy model and design the fuzzy controller and observer for the systems using the parallel distributed compensation (PDC) scheme. In addition, we derive the sufficient condition for the asymptotic stability of the equilibrium point by applying Lyapunov-Krasovskii theorem to the closed-loop system and solve the condition in the formulation of LMI. Finally, computer simulations are included to demonstrate the effectiveness of the suggested method.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E86-A No.9 pp.2333-2339
- Publication Date
- 2003/09/01
- Publicized
- Online ISSN
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- Type of Manuscript
- PAPER
- Category
- Systems and Control
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Hyunseok SHIN, Euntai KIM, Mignon PARK, "The State Feedback Control Based on Fuzzy Observer for T-S Fuzzy Systems with Unknown Time-Delay" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 9, pp. 2333-2339, September 2003, doi: .
Abstract: In this paper, we present an output feedback controller using a fuzzy controller and observer for nonlinear systems with unknown time-delay. Recently, Cao et al. proposed a stabilization method for the nonlinear time-delay systems using a fuzzy controller when the time-delay is known. In general, however, it is impossible to know or measure this time-varying delay. The proposed method requires only the upper bound of the derivative of the time-delay. We represent the nonlinear system with the unknown time-delay by Takagi-Sugeno (T-S) fuzzy model and design the fuzzy controller and observer for the systems using the parallel distributed compensation (PDC) scheme. In addition, we derive the sufficient condition for the asymptotic stability of the equilibrium point by applying Lyapunov-Krasovskii theorem to the closed-loop system and solve the condition in the formulation of LMI. Finally, computer simulations are included to demonstrate the effectiveness of the suggested method.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_9_2333/_p
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@ARTICLE{e86-a_9_2333,
author={Hyunseok SHIN, Euntai KIM, Mignon PARK, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={The State Feedback Control Based on Fuzzy Observer for T-S Fuzzy Systems with Unknown Time-Delay},
year={2003},
volume={E86-A},
number={9},
pages={2333-2339},
abstract={In this paper, we present an output feedback controller using a fuzzy controller and observer for nonlinear systems with unknown time-delay. Recently, Cao et al. proposed a stabilization method for the nonlinear time-delay systems using a fuzzy controller when the time-delay is known. In general, however, it is impossible to know or measure this time-varying delay. The proposed method requires only the upper bound of the derivative of the time-delay. We represent the nonlinear system with the unknown time-delay by Takagi-Sugeno (T-S) fuzzy model and design the fuzzy controller and observer for the systems using the parallel distributed compensation (PDC) scheme. In addition, we derive the sufficient condition for the asymptotic stability of the equilibrium point by applying Lyapunov-Krasovskii theorem to the closed-loop system and solve the condition in the formulation of LMI. Finally, computer simulations are included to demonstrate the effectiveness of the suggested method.},
keywords={},
doi={},
ISSN={},
month={September},}
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TY - JOUR
TI - The State Feedback Control Based on Fuzzy Observer for T-S Fuzzy Systems with Unknown Time-Delay
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2333
EP - 2339
AU - Hyunseok SHIN
AU - Euntai KIM
AU - Mignon PARK
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2003
AB - In this paper, we present an output feedback controller using a fuzzy controller and observer for nonlinear systems with unknown time-delay. Recently, Cao et al. proposed a stabilization method for the nonlinear time-delay systems using a fuzzy controller when the time-delay is known. In general, however, it is impossible to know or measure this time-varying delay. The proposed method requires only the upper bound of the derivative of the time-delay. We represent the nonlinear system with the unknown time-delay by Takagi-Sugeno (T-S) fuzzy model and design the fuzzy controller and observer for the systems using the parallel distributed compensation (PDC) scheme. In addition, we derive the sufficient condition for the asymptotic stability of the equilibrium point by applying Lyapunov-Krasovskii theorem to the closed-loop system and solve the condition in the formulation of LMI. Finally, computer simulations are included to demonstrate the effectiveness of the suggested method.
ER -
English
