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Volume 29 Issue 3
 
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Article Navigation >  Journal of Unmanned Undersea Systems  > 2021  >  29(3): 293-298
DAI Lei, LI Yang-yang, YOU Qian-liang, WEI Hai-feng, ZHANG Yi. Optimal Control of Chaos in Permanent Magnet Synchronous Motor Based on LMI Algorithm[J]. Journal of Unmanned Undersea Systems, 2021, 29(3): 293-298. doi: 10.11993/j.issn.2096-3920.2021.03.007
Citation: DAI Lei, LI Yang-yang, YOU Qian-liang, WEI Hai-feng, ZHANG Yi. Optimal Control of Chaos in Permanent Magnet Synchronous Motor Based on LMI Algorithm[J]. Journal of Unmanned Undersea Systems, 2021, 29(3): 293-298. doi: 10.11993/j.issn.2096-3920.2021.03.007
shu

Optimal Control of Chaos in Permanent Magnet Synchronous Motor Based on LMI Algorithm

doi: 10.11993/j.issn.2096-3920.2021.03.007
  • 1.

    School of Electronics and Information, Jiangsu University of Science and Technology, Zhenjiang 212003, China

  • 2.

    Nantong academy of intelligent sensing, Nantong 226001, China

  • Received Date: 2020-08-06
  • Rev Recd Date: 2020-09-02
  • Publish Date: 2021-06-30
    Abstract
  • Permanent magnet synchronous motors(PMSMs) are an important part of undersea vehicles. Its complex nonlinear behavior will form a chaotic motion, reducing the control performance of the motor and seriously affecting its working efficiency. In this study, Hopf bifurcation and chaotic behavior analysis and control of its operating system are studied. First, the physical model of the PMSM is dimensionalized, and a simplified chaos-like mathematical model is obtained. After the external input is determined, the Hopf bifurcation of the system is analyzed. It is found that the Hopf bifurcation point of the system is determined by the external input parameter ud and uncertain parameter σ of the system. When the system reaches the critical bifurcation point, with a change in the bifurcation parameter γ, the system produces a continuous Hopf bifurcation phenomenon and finally enters the chaotic state, and each state of the system will show the phenomenon of irregular motion. Aiming at the parameter uncertainty of the PMSM operating system, an adaptive chaos controller based on the linear matrix inequality(LMI) algorithm is proposed to control the chaotic behavior of the system. The simulation results show that the original chaotic state of the system can effectively return to a stable equilibrium point after the addition of the control.

     

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