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Finite-time Stabilization with Output-constraints of A Class of High-order Nonlinear Systems

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  • Control Theory and Applications
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Abstract

In this paper, the finite-time stabilization with output-constraint is investigated for a class of high-order nonlinear systems with the powers of positive odd rational numbers by constructing a Barrier Lyapunov function. First, sufficient conditions on characterizing the nonlinear functions of the considered systems are derived. Then, based on the technique of adding one power integrator, the global finite-time stabilizers of individual subsystems are systematically constructed to guarantee global finite-time stability with output constraints of the closed-loop nonlinear system. Finally, an example is provided to demonstrate the effectiveness of the proposed result.

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Authors and Affiliations

  1. School of Mathematics, Liaoning University, Shenyang, 110036, China

    Ruicheng Ma & Bin Jiang

  2. College of Information Science & Engineering, Northeastern University, Shenyang, Liaoning, 110819, China

    Yan Liu

Authors
  1. Ruicheng Ma
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  2. Bin Jiang
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  3. Yan Liu
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Corresponding author

Correspondence to Ruicheng Ma.

Additional information

Recommended by Editor Jessie (Ju H.) Park. This work was partially supported by the National Natural Science Foundation of China (61673198, 61703078), Provincial Natural Science Foundation of Liaoning Province (2015020088), China Postdoctoral Science Foundation (No.2017M611247), Fundamental Research Funds for the Central Universities (No.N160403002), Postdoctoral Science Foundation of Northeastern University (No.20170309). We would like to thank the Editor and the anonymous reviewers for their constructive comments, which greatly improved the quality and presentation of this paper.

Ruicheng Ma received his M.S. degree in applied mathematics from Liaoning University, China, in 2008. He completed his Ph.D. in control theory and control engineering from Northeastern University, China, in 2012. He is currently an associate professor with the School of Mathematics, Liaoning University, China. His research interests include switched systems, hybrid control, nonlinear systems and robust control.

Bin Jiang received his B.E. degree in computer science and technology from Shenyang Ligong University, Shenyang, China, in 2006. He is currently pursuing his M.S. degree at School of Mathematics in Liaoning University, Shenyang, China. His current research interests include nonlinear systems and robust control.

Yan Liu received her M.S. degree in applied mathematics from Liaoning University, Shenyang, China, in 2010. She completed her Ph.D. in control theory and control engineering from Northeastern University, Shenyang, China, in 2016. She is currently a lecturer with the College of Information Science & Engineering, Northeastern University, Shenyang, China.

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Ma, R., Jiang, B. & Liu, Y. Finite-time Stabilization with Output-constraints of A Class of High-order Nonlinear Systems. Int. J. Control Autom. Syst. 16, 945–952 (2018). https://doi.org/10.1007/s12555-017-0418-2

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  • DOI: https://doi.org/10.1007/s12555-017-0418-2

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