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Design of observer-based adaptive controller for nonlinear systems with unmodeled dynamics and actuator dead-zone

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Abstract

This paper presents an up-to-date study on the observer-based control problem for nonlinear systems in the presence of unmodeled dynamics and actuator dead-zone. By introducing a dynamic signal to dominate the unmodeled dynamics and using an adaptive nonlinear damping to counter the effects of the nonlinearities and dead-zone input, the proposed observer and controller can ensure that the closed-loop system is asymptotically stable in the sense of uniform ultimate boundedness. Only one adaptive parameter is needed no matter how many unknown parameters there are. The system investigated is more general and there is no need to solve Linear matrix inequality (LMI). Moreover, with our method, some assumptions imposed on nonlinear terms and dead-zone input are relaxed. Finally, simulations illustrate the effectiveness of the proposed adaptive control scheme.

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Authors and Affiliations

  1. Department of Electrical Engineering, Yanshan University, Qinhuangdao, 066004, PRC

    Xue-Li Wu, Xiao-Jing Wu & Xiao-Yuan Luo

  2. College of Electrical Engineering and Information, Hebei University of Science and Technology, Shijiazhuang, 050018, PRC

    Xue-Li Wu

  3. Bristol Institute of Technology, University of the West of England, Coldharbour Lane, Bristol, BS161QY, UK

    Quan-Min Zhu

Authors
  1. Xue-Li Wu
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  2. Xiao-Jing Wu
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  3. Xiao-Yuan Luo
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  4. Quan-Min Zhu
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Corresponding author

Correspondence to Xiao-Jing Wu.

Additional information

This work was supported by National Natural Science Foundation of China (No. 60704009).

Xue-Li Wu received the B. Sc. and M. Sc. degrees from Yanshan University, PRC in 1983 and 1988, respectively. He received the Ph.D. degree from Huazhong University of Science and Technology in 2005. He is currently a professor and dean of the Department of Electronic Engineering and Information, Hebei University of Science and Technology, PRC.

His research interests include nonlinear control systems and intelligent control.

Xiao-Jing Wu received the B. Sc. and M. Sc. degrees from Yanshan University, PRC in 2006 and 2009, respectively. Now, she is a Ph.D. candidate in control theory and control engineering, Yanshan University, PRC.

Her research interests include nonlinear control, adaptive control, and fault-tolerant control.

Xiao-Yuan Luo received the M. Sc and Ph.D. degrees from the Department of Electrical Engineering, Yanshan University, PRC in 2001 and 2005, respectively. He is currently an associate professor at the Department of Electrical Engineering, Yanshan University.

His research interests include fault detection and fault tolerant control, multi-agent, and networked control systems.

Quan-Min Zhu received the M. Sc. degree from Harbin Institute of Technology, PRC in 1983, and Ph.D. from Faculty of Engineering, University of Warwick, UK in 1989. Now, he is a professor in control systems at Bristol Institute of Technology (BIT), University of the West of England (UWE), Bristol, UK.

His research interests include nonlinear system modelling, identification, and control.

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Wu, XL., Wu, XJ., Luo, XY. et al. Design of observer-based adaptive controller for nonlinear systems with unmodeled dynamics and actuator dead-zone. Int. J. Autom. Comput. 8, 201–208 (2011). https://doi.org/10.1007/s11633-011-0574-4

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  • DOI: https://doi.org/10.1007/s11633-011-0574-4

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