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<p>This paper addresses the bumpless transfer control problem for uncertain switched positive Lur’e systems with asynchronous switching. The primary objective is to design an asynchronous bumpless transfer controller that mitigates transient control signal jumps induced by controller switching. To achieve this, a control scheme is developed under a dwell-time switching strategy that simultaneously ensures system positivity and stability. The dwell-time method employs a multiple time-varying linear co-positive Lyapunov function, which decouples stability conditions from switching parameters, thereby enhancing design flexibility and reducing conservatism. Based on the proposed control scheme, sufficient conditions are established to ensure absolute exponential stability, positivity, and bumpless transfer performance. Furthermore, the <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(L_1\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>L</mi> <mn>1</mn> </msub> </math></EquationSource> </InlineEquation>-gain performance is analyzed to characterize disturbance attenuation capability. Finally, simulation examples are provided to demonstrate the effectiveness and superiority of the proposed method.</p>

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Bumpless Transfer Control for Uncertain Switched Positive Lur’e Systems with Asynchronous Switching

  • 期刊论文

  • 发表日期：

    2026年2月9日

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  • Yanyan Sun,
  • Baowei Wu,
  • Yue-E Wang,
  • Lili Liu

摘要

This paper addresses the bumpless transfer control problem for uncertain switched positive Lur’e systems with asynchronous switching. The primary objective is to design an asynchronous bumpless transfer controller that mitigates transient control signal jumps induced by controller switching. To achieve this, a control scheme is developed under a dwell-time switching strategy that simultaneously ensures system positivity and stability. The dwell-time method employs a multiple time-varying linear co-positive Lyapunov function, which decouples stability conditions from switching parameters, thereby enhancing design flexibility and reducing conservatism. Based on the proposed control scheme, sufficient conditions are established to ensure absolute exponential stability, positivity, and bumpless transfer performance. Furthermore, the \(L_1\) L 1 -gain performance is analyzed to characterize disturbance attenuation capability. Finally, simulation examples are provided to demonstrate the effectiveness and superiority of the proposed method.