Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems

Hassan A. Yousef; Mohamed Hamdy

doi:10.1007/s11633-013-0721-1

Hassan A. Yousef, Mohamed Hamdy

文章导航 > International Journal of Automation and Computing > 2013 > 10(4): 275-280

Hassan A. Yousef, Mohamed Hamdy. Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems[J]. 国际自动化与计算杂志（英）/International Journal of Automation and Computing, 2013, 10(4): 275-280. doi: 10.1007/s11633-013-0721-1

引用本文:

Hassan A. Yousef and Mohamed Hamdy. Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems. International Journal of Automation and Computing, vol. 10, no. 4, pp. 275-280, 2013. doi: 10.1007/s11633-013-0721-1

Citation:

Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems

doi: 10.1007/s11633-013-0721-1

Hassan A. Yousef¹,
Mohamed Hamdy^2, ,

1.
Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Muscat, Sultanate of Oman;
2.
Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt

Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems

Hassan A. Yousef¹,
Mohamed Hamdy^{2
, ,}

1.
Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Muscat, Sultanate of Oman;
2.
Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt

More Information

Author Bio:
Hassan A. Yousef received the B. Sc. and M. Sc. degrees in electrical engineering from Alexandria University, Egypt, and the Ph.D. degree in electrical engineering from University of Pittsburgh, USA in 1979, 1983 and 1989, respectively. He is currently a professor with Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Sultanate of Oman. His research interests include intelligent and adaptive control, fuzzy control applications to electrical drive systems, large scale systems, and nonlinear control. E-mail: hyousef@squ.edu.om

Corresponding author: Mohamed Hamdy

摘要: An observer-based adaptive fuzzy control is presented for a class of nonlinear systems with unknown time delays. The state observer is first designed, and then the controller is designed via the adaptive fuzzy control method based on the observed states. Both the designed observer and controller are independent of time delays. Using an appropriate Lyapunov-Krasovskii functional, the uncertainty of the unknown time delay is compensated, and then the fuzzy logic system in Mamdani type is utilized to approximate the unknown nonlinear functions. Based on the Lyapunov stability theory, the constructed observer-based controller and the closed-loop system are proved to be asymptotically stable. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is to be updated on-line. Simulation results are presented to demonstrate the effectiveness of the proposed approach.
- Observer /
- adaptive fuzzy control /
- nonlinear systems /
- time delay /
- stability
Abstract: An observer-based adaptive fuzzy control is presented for a class of nonlinear systems with unknown time delays. The state observer is first designed, and then the controller is designed via the adaptive fuzzy control method based on the observed states. Both the designed observer and controller are independent of time delays. Using an appropriate Lyapunov-Krasovskii functional, the uncertainty of the unknown time delay is compensated, and then the fuzzy logic system in Mamdani type is utilized to approximate the unknown nonlinear functions. Based on the Lyapunov stability theory, the constructed observer-based controller and the closed-loop system are proved to be asymptotically stable. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is to be updated on-line. Simulation results are presented to demonstrate the effectiveness of the proposed approach.
- Observer /
- adaptive fuzzy control /
- nonlinear systems /
- time delay /
- stability
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Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems

doi: 10.1007/s11633-013-0721-1

Hassan A. Yousef¹,
Mohamed Hamdy^{2,
,}

1. Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Muscat, Sultanate of Oman;

2. Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt

作者简介:
Hassan A. Yousef received the B. Sc. and M. Sc. degrees in electrical engineering from Alexandria University, Egypt, and the Ph.D. degree in electrical engineering from University of Pittsburgh, USA in 1979, 1983 and 1989, respectively. He is currently a professor with Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Sultanate of Oman. His research interests include intelligent and adaptive control, fuzzy control applications to electrical drive systems, large scale systems, and nonlinear control. E-mail: hyousef@squ.edu.om

收稿日期: 2012-11-02
修回日期: 2013-04-16
刊出日期: 2013-08-20

关键词:

摘要: An observer-based adaptive fuzzy control is presented for a class of nonlinear systems with unknown time delays. The state observer is first designed, and then the controller is designed via the adaptive fuzzy control method based on the observed states. Both the designed observer and controller are independent of time delays. Using an appropriate Lyapunov-Krasovskii functional, the uncertainty of the unknown time delay is compensated, and then the fuzzy logic system in Mamdani type is utilized to approximate the unknown nonlinear functions. Based on the Lyapunov stability theory, the constructed observer-based controller and the closed-loop system are proved to be asymptotically stable. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is to be updated on-line. Simulation results are presented to demonstrate the effectiveness of the proposed approach.

English Abstract

Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems

Hassan A. Yousef¹,
Mohamed Hamdy^2, ,

1. Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Muscat, Sultanate of Oman;

2. Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt

Author Bio:
Hassan A. Yousef received the B. Sc. and M. Sc. degrees in electrical engineering from Alexandria University, Egypt, and the Ph.D. degree in electrical engineering from University of Pittsburgh, USA in 1979, 1983 and 1989, respectively. He is currently a professor with Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Sultanate of Oman. His research interests include intelligent and adaptive control, fuzzy control applications to electrical drive systems, large scale systems, and nonlinear control. E-mail: hyousef@squ.edu.om

Corresponding author: Mohamed Hamdy

Received Date: 2012-11-02
Rev Recd Date: 2013-04-16
Publish Date: 2013-08-20

Keywords:

Abstract: An observer-based adaptive fuzzy control is presented for a class of nonlinear systems with unknown time delays. The state observer is first designed, and then the controller is designed via the adaptive fuzzy control method based on the observed states. Both the designed observer and controller are independent of time delays. Using an appropriate Lyapunov-Krasovskii functional, the uncertainty of the unknown time delay is compensated, and then the fuzzy logic system in Mamdani type is utilized to approximate the unknown nonlinear functions. Based on the Lyapunov stability theory, the constructed observer-based controller and the closed-loop system are proved to be asymptotically stable. The designed control law is independent of the time delays and has a simple form with only one adaptive parameter vector, which is to be updated on-line. Simulation results are presented to demonstrate the effectiveness of the proposed approach.

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Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems

doi: 10.1007/s11633-013-0721-1

Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems

Corresponding author: Mohamed Hamdy

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出版历程

Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems

doi: 10.1007/s11633-013-0721-1

1. Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Muscat, Sultanate of Oman; 2. Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt

English Abstract

Observer-based Adaptive Fuzzy Control for a Class of Nonlinear Time-delay Systems

1. Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Muscat, Sultanate of Oman; 2. Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt

Corresponding author: Mohamed Hamdy

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目录

1. Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Muscat, Sultanate of Oman;

2. Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt

1. Department of Electrical and Computer Engineering, College of Engineering, Sultan Qaboos University, Muscat, Sultanate of Oman;

2. Department of Industrial Electronics and Control Engineering, Faculty of Electronic Engineering, Menofia University, Menof 32952, Egypt