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A sliding sector approach to quantized feedback variable structure control

  • Control Theory
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Abstract

This paper is concerned with the quantized feedback quadratic stabilization problem for linear time-invariant systems. Sliding sector based quantized state feedback variable structure control schemes are established. The main benefit of the sliding sector technique is that it can avoid chattering caused by the utilization of variable structure control strategy. With the proposed discrete on-line adjustment of the quantization parameter, it is shown that the proposed sliding sector based sliding mode controllers can tackle state quantization and guarantee quadratic stability of the closed-loop system. Simulation results are given to verify the effectiveness of the proposed method.

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Author information

Authors and Affiliations

  1. School of Information and Control, Nanjing University of Information Science & Technology, Nanjing, Jiangsu, 210044, China

    Bo-Chao Zheng

  2. School of Mathematics & Statistics, Nanjing University of Information Science & Technology, Nanjing, Jiangsu, 210044, China

    Yan-Mei Xue

Authors
  1. Bo-Chao Zheng
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  2. Yan-Mei Xue
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Corresponding author

Correspondence to Bo-Chao Zheng.

Additional information

Recommended by Editorial Board member Do Wan Kim under the direction of Editor Zengqi Sun.

This work was supported in part by the Funds of National Science of China (Nos. 11301276,61104123), the Natural Science Funds of Jiangsu Province (BK20131000, BK20130984), the Scientific Research Foundation of Nanjing University of Information Science & Technology (S8112081001,S8112075001), and Laboratory Open Fund of Nanjing University of Information Science & Technology (N1081005112).

Bo-Chao Zheng received his Ph.D. degree in College of Information Science and Engineering from Northeastern University, China in 2012. His current research interests include robust control, quantised control, sliding mode control and Markov jump systems.

Yan-Mei Xue received her Ph.D. degree in School of Mathematics and Computational Science from Sun Yat-sen University, China in 2012. Her current research interests include robust control, sliding mode control, wavelet analysis and application.

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Zheng, BC., Xue, YM. A sliding sector approach to quantized feedback variable structure control. Int. J. Control Autom. Syst. 11, 1177–1186 (2013). https://doi.org/10.1007/s12555-013-0169-7

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  • DOI: https://doi.org/10.1007/s12555-013-0169-7

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