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A New Control Method for Second-Order Multiple Models Control System Based on Global Sliding Mode

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  • Dan-xu Zhang
  • Yang-wang Fang
  • Peng-fei Yang
  • You-li Wu
  • Tong-xin Liu

Abstract

This paper proposed a finite time convergence global sliding mode control scheme for the second-order multiple models control system. Firstly, the global sliding surface without reaching law for a single model control system is designed and the tracking error finite time convergence and global stability are proved. Secondly, we generalize the above scheme to the second-order multimodel control system and obtain the global sliding mode control law. Then, the convergent and stable performances of the closed-loop control system with multimodel controllers are proved. Finally, a simulation example shows that the proposed control scheme is more effective and useful compared with the traditional sliding mode control scheme.

Suggested Citation

  • Dan-xu Zhang & Yang-wang Fang & Peng-fei Yang & You-li Wu & Tong-xin Liu, 2018. "A New Control Method for Second-Order Multiple Models Control System Based on Global Sliding Mode," Mathematical Problems in Engineering, Hindawi, vol. 2018, pages 1-8, July.
    • Handle: RePEc:hin:jnlmpe:5709162
    DOI: 10.1155/2018/5709162
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