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Adaptive stabilization for a class of feedforward systems with zero-dynamics

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Abstract

This paper investigates adaptive state feedback stabilization for a class of feedforward nonlinear systems with zero-dynamics, unknown linear growth rate and control coefficient. For design convenience, the state transformation is first introduced and the new system is obtained. Then, the estimation law is constructed for the unknown control coefficient, and the state feedback controller is proposed with a gain updated on-line. By appropriate choice of the estimation law for the control coefficient and the dynamic gain, the states of the closed-loop system are globally bounded, and the state of the original system converges to zero. Finally, a simulation example is given to illustrate the correctness of the theoretical results.

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Author information

Authors and Affiliations

  1. School of Information and Electrical Engineering, Shandong Jianzhu University, Jinan, 250101, China

    Fang Shang & Guiqing Zhang

  2. Shandong Provincial Key Laboratory of Intelligent Buildings Technology, Jinan, 250101, China

    Fang Shang & Guiqing Zhang

  3. School of Control Science and Engineering, Shandong University, Jinan, 250061, China

    Yungang Liu

Authors
  1. Fang Shang
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  2. Yungang Liu
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  3. Guiqing Zhang
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Corresponding author

Correspondence to Fang Shang.

Additional information

This research was supported by the National Natural Science Foundations of China under Grant Nos. 61104069, 61325016, 61273084, 61374187 and 61473176, and Independent Innovation Foundation of Shandong University under Grant No. 2012JC014.

This paper was recommended for publication by Editor ZHANG Jifeng.

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Shang, F., Liu, Y. & Zhang, G. Adaptive stabilization for a class of feedforward systems with zero-dynamics. J Syst Sci Complex 28, 305–315 (2015). https://doi.org/10.1007/s11424-015-3059-7

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  • DOI: https://doi.org/10.1007/s11424-015-3059-7

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