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<p>This paper concerns the disturbance attenuation control problem for switched systems where the subsystems have different equilibria. By introducing a Lyapunov function that measures the proximity to the stability region, numerically testable stability and stabilization criteria of the systems are obtained. For multi-equilibrium switched systems with energy-bounded disturbances, the <i>L</i><sub>2</sub>-gain is analyzed and the multi-equilibrium bound real lemma (ME-BRL) is derived. Further, an <i>H</i><sub>∞</sub> multi-equilibrium switched (<i>H</i><sub>∞</sub>-MES) controller is designed, which ensures not only the nominal stability but also the <i>H</i><sub>∞</sub> performance index of the closed-loop systems. Finally, the control method is applied to aero-engine control systems. The simulation results demonstrate that the proposed approach effectively attenuates the adverse impacts of external disturbances on the control systems.</p>

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Disturbance attenuation control of multi-equilibrium switched systems and its application to aero-engines

  • 期刊论文

  • 发表日期：

    2025年3月5日

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  • Yuejiang Han,
  • Lixian Zhang,
  • Bo Cai,
  • Tianyu Gao,
  • Shengao Lu,
  • Kaixin Xu

摘要

This paper concerns the disturbance attenuation control problem for switched systems where the subsystems have different equilibria. By introducing a Lyapunov function that measures the proximity to the stability region, numerically testable stability and stabilization criteria of the systems are obtained. For multi-equilibrium switched systems with energy-bounded disturbances, the L2-gain is analyzed and the multi-equilibrium bound real lemma (ME-BRL) is derived. Further, an H∞ multi-equilibrium switched (H∞-MES) controller is designed, which ensures not only the nominal stability but also the H∞ performance index of the closed-loop systems. Finally, the control method is applied to aero-engine control systems. The simulation results demonstrate that the proposed approach effectively attenuates the adverse impacts of external disturbances on the control systems.