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Adaptive Fuzzy Finite-time Dynamic Surface Control for High-order Nonlinear System with Output Constraints

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Abstract

This paper studies the problem of finite-time fuzzy adaptive dynamic surface control (DSC) design for a class of single-input and single-output (SISO) high-order nonlinear systems with output constraint. Fuzzy logic systems (FLSs) are utilized to identify the unknown smooth functions. By adopting Barrier Lyapunov function (BLF), the problem of output constrain is handled. Combining adding a power integrator and adaptive backstepping recursion design technique, a novel fuzzy adaptive finite-time DSC algorithm is proposed. Based on finite-time Lyapunov stable theory, the developed control algorithm means that all the signals of the closed-loop system are semi-global practical finite-time stable (SGPFS) and the tracking error converges to a small neighborhood of origin in finite time. In addition, the output does not violate the given constrain bound. Finally, both numerical and practical simulation examples are given to illustrate the effectiveness of the proposed control algorithm.

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Author information

Authors and Affiliations

  1. Institute of Automation, Qufu Normal University, Qufu, China

    Kewen Li

  2. Department of Mathematics, Liaoning University of Technology, Jinzhou, China

    Yongming Li

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  1. Kewen Li
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Corresponding author

Correspondence to Kewen Li.

Additional information

Recommended by Associate Editor Sung Jin Yoo under the direction of Editor Euntai Kim.

This work was supported by the National Natural Science Foundation (NNSF) of China under Grant 61822307.

Kewen Li received his B.S. and M.S. degrees in applied mathematics from the Liaoning University of Technology, Jinzhou, China, in 2016 and 2019, respectively. He is currently pursuing a Ph.D. degree in Institute of Automation, Qufu Normal University, Qufu, China. His current research interests include finite time control, fuzzy control, and adaptive control for nonlinear systems.

Yongming Li received his B.S. and M.S. degrees in Applied Mathematics from Liaoning University of Technology, Jinzhou, China, in 2004 and 2007, respectively. He received a Ph.D. degree in Transportation Information Engineering & Control from Dalian Maritime University, Dalian, China in 2014. He is currently a Professor in the College of Science, Liaoning University of Technology. His current research interests include adaptive control, fuzzy control and neural networks control for nonlinear systems.

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Li, K., Li, Y. Adaptive Fuzzy Finite-time Dynamic Surface Control for High-order Nonlinear System with Output Constraints. Int. J. Control Autom. Syst. 19, 112–123 (2021). https://doi.org/10.1007/s12555-019-0986-4

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  • DOI: https://doi.org/10.1007/s12555-019-0986-4

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