Adaptive fuzzy control for strict-feedback nonlinear time -delay systems without backstepping scheme

Hasan A. Yousef; Mohamed Hamdy; Muhammad Shafiq

doi:10.1109/CDC.2010.5717403

Adaptive fuzzy control for strict-feedback nonlinear time -delay systems without backstepping scheme

Hasan A. Yousef, Mohamed Hamdy, Muhammad Shafiq

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

In this paper, an adaptive fuzzy tracking control is presented for a class of SISO nonlinear strict-feedback systems with unknown time delays. The proposed algorithm does not use the backstepping scheme rather it converts the strict-feedback time-delayed system to the normal form. The Mamdani-type fuzzy system is employed to approximate online the unknown lumped nonlinear function. The developed controller guarantees uniform ultimate boundedness of all signals in the closed-loop system. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is required to be updated on-line. As a result, the proposed control algorithm is considerably simpler than the previous ones based on backstepping. Simulation results are presented to verify the effectiveness of the proposed approach.

Original language	English
Title of host publication	Proceedings of the IEEE Conference on Decision and Control
Pages	3700-3705
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2010.5717403
Publication status	Published - 2010
Event	2010 49th IEEE Conference on Decision and Control, CDC 2010 - Atlanta, GA, United States Duration: Dec 15 2010 → Dec 17 2010

Other

Other	2010 49th IEEE Conference on Decision and Control, CDC 2010
Country	United States
City	Atlanta, GA
Period	12/15/10 → 12/17/10

ASJC Scopus subject areas

Control and Systems Engineering
Modelling and Simulation
Control and Optimization

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title = "Adaptive fuzzy control for strict-feedback nonlinear time -delay systems without backstepping scheme",

abstract = "In this paper, an adaptive fuzzy tracking control is presented for a class of SISO nonlinear strict-feedback systems with unknown time delays. The proposed algorithm does not use the backstepping scheme rather it converts the strict-feedback time-delayed system to the normal form. The Mamdani-type fuzzy system is employed to approximate online the unknown lumped nonlinear function. The developed controller guarantees uniform ultimate boundedness of all signals in the closed-loop system. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is required to be updated on-line. As a result, the proposed control algorithm is considerably simpler than the previous ones based on backstepping. Simulation results are presented to verify the effectiveness of the proposed approach.",

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doi = "10.1109/CDC.2010.5717403",

language = "English",

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AU - Yousef, Hasan A.

AU - Hamdy, Mohamed

AU - Shafiq, Muhammad

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N2 - In this paper, an adaptive fuzzy tracking control is presented for a class of SISO nonlinear strict-feedback systems with unknown time delays. The proposed algorithm does not use the backstepping scheme rather it converts the strict-feedback time-delayed system to the normal form. The Mamdani-type fuzzy system is employed to approximate online the unknown lumped nonlinear function. The developed controller guarantees uniform ultimate boundedness of all signals in the closed-loop system. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is required to be updated on-line. As a result, the proposed control algorithm is considerably simpler than the previous ones based on backstepping. Simulation results are presented to verify the effectiveness of the proposed approach.

AB - In this paper, an adaptive fuzzy tracking control is presented for a class of SISO nonlinear strict-feedback systems with unknown time delays. The proposed algorithm does not use the backstepping scheme rather it converts the strict-feedback time-delayed system to the normal form. The Mamdani-type fuzzy system is employed to approximate online the unknown lumped nonlinear function. The developed controller guarantees uniform ultimate boundedness of all signals in the closed-loop system. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is required to be updated on-line. As a result, the proposed control algorithm is considerably simpler than the previous ones based on backstepping. Simulation results are presented to verify the effectiveness of the proposed approach.

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Adaptive fuzzy control for strict-feedback nonlinear time -delay systems without backstepping scheme

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