Boundary Control of a Vibrating String Subject to Input Saturation and Output Constraint

This paper presents a control framework of a vibrating flexible string system subject to input saturation and output constraint. By integrating the backstepping technique and Lyapunov theory, a smooth function, a Nussbaum function, a barrier function, and an auxiliary system are exploited to establi...

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Bibliographic Details
Published inIEEE access Vol. 8; pp. 60062 - 60069
Main Authors Sun, Weijun, Liu, Yiming, Zhao, Zhijia, Xie, Kan, Xie, Shengli
Format Journal Article
LanguageEnglish
Published Piscataway IEEE 2020
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Backstepping
Boundary control
Constraints
Control stability
Control systems
Input saturation
Lyapunov methods
output constraint
Research and development
Saturation
Stability analysis
Strings
Sun
vibration control
Vibrations
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Summary:This paper presents a control framework of a vibrating flexible string system subject to input saturation and output constraint. By integrating the backstepping technique and Lyapunov theory, a smooth function, a Nussbaum function, a barrier function, and an auxiliary system are exploited to establish a constrained boundary control for tacking the output and input constraints as well as stabilizing the system. The derived control can assure the bounded stability in controlled systems depending on Lyapunov criteria. The simulation study and analysis verify the effectiveness of the presented scheme.
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ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2020.2983054