This paper concerns a repetitive-control system with an input-dead-zone (IDZ) nonlinearity. First, the expression for the IDZ is decomposed into a linear term and a disturbance-like one that depends on the parameters of the dead zone. A function of the system-state error is used to approximate the combination of the disturbancelike term and an exogenous disturbance. The estimate is used to compensate for the overall effect of the IDZ and the exogenous disturbance. Next, the state-feedback gains are obtained from a linear matrix inequality that contains two tuning parameters for adjusting control performance; and the pole assignment method is employed to design the gain of a state observer. Then, two stability criteria are used to test the stability of the closed-loop system. The method is simple, employing neither an inverse model of the plant nor an adaptive control technique. It is also robust with regard to the different parameters of the IDZ, uncertainties in the plant, and the exogenous disturbance. Finally, two numerical examples demonstrate the effectiveness of this method and its advantages over others.
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July 2017
Research-Article
Design of Repetitive-Control System With Input Dead Zone Based on Generalized Extended-State Observer
Min Wu,
Min Wu
Professor
School of Automation,
China University of Geosciences;
School of Automation,
China University of Geosciences;
Hubei Key Laboratory of Advanced Control and
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
e-mail: wumin@cug.edu.cn
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
e-mail: wumin@cug.edu.cn
Search for other works by this author on:
Pan Yu,
Pan Yu
School of Information Science and Engineering,
Central South University,
Changsha 410083, Hunan, China;
Central South University,
Changsha 410083, Hunan, China;
Hubei Key Laboratory of Advanced Control and
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
Search for other works by this author on:
Xin Chen,
Xin Chen
Professor
School of Automation,
China University of Geosciences;
School of Automation,
China University of Geosciences;
Hubei Key Laboratory of Advanced Control and
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
Search for other works by this author on:
Jinhua She
Jinhua She
Professor
School of Automation,
China University of Geosciences;
School of Automation,
China University of Geosciences;
Hubei Key Laboratory of Advanced Control and
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China;
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China;
School of Engineering,
Tokyo University of Technology,
Hachioji 192-0982, Tokyo, Japan
Tokyo University of Technology,
Hachioji 192-0982, Tokyo, Japan
Search for other works by this author on:
Min Wu
Professor
School of Automation,
China University of Geosciences;
School of Automation,
China University of Geosciences;
Hubei Key Laboratory of Advanced Control and
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
e-mail: wumin@cug.edu.cn
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
e-mail: wumin@cug.edu.cn
Pan Yu
School of Information Science and Engineering,
Central South University,
Changsha 410083, Hunan, China;
Central South University,
Changsha 410083, Hunan, China;
Hubei Key Laboratory of Advanced Control and
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
Xin Chen
Professor
School of Automation,
China University of Geosciences;
School of Automation,
China University of Geosciences;
Hubei Key Laboratory of Advanced Control and
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China
Jinhua She
Professor
School of Automation,
China University of Geosciences;
School of Automation,
China University of Geosciences;
Hubei Key Laboratory of Advanced Control and
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China;
Intelligent Automation for Complex Systems,
Wuhan 430074, Hubei, China;
School of Engineering,
Tokyo University of Technology,
Hachioji 192-0982, Tokyo, Japan
Tokyo University of Technology,
Hachioji 192-0982, Tokyo, Japan
1Corresponding author.
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received April 27, 2016; final manuscript received December 22, 2016; published online May 10, 2017. Assoc. Editor: Douglas Bristow.
J. Dyn. Sys., Meas., Control. Jul 2017, 139(7): 071008 (9 pages)
Published Online: May 10, 2017
Article history
Received:
April 27, 2016
Revised:
December 22, 2016
Citation
Wu, M., Yu, P., Chen, X., and She, J. (May 10, 2017). "Design of Repetitive-Control System With Input Dead Zone Based on Generalized Extended-State Observer." ASME. J. Dyn. Sys., Meas., Control. July 2017; 139(7): 071008. https://doi.org/10.1115/1.4035615
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