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<p>This paper develops exponential incremental stabilizability (EIS) for nonlinear continuous-time (NCT) systems expressed by exponential incremental QSR-dissipativity (i-QSR-D) possessing the linear static output feedback (SOF). Specifically, we provide sufficient and necessary conditions for EIS and show that EIS implies the exponential i-QSR-D for NCT systems. In addition, utilizing the concept of incremental geometric QSR-dissipativity (i-GQSR-D), a condition both necessary and sufficient is proffered to guarantee geometric incremental stabilizability (GIS) for nonlinear discrete-time (NDT) systems. We establish two new design and analysis frames of SOF stabilization to achieve respectively EIS and GIS of the closed-loop system. Lastly, examples are furnished to elucidate the efficacy of the results.</p>

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Robust stabilization of nonlinear systems based on linear SOF controller

  • 期刊论文

  • 发表日期：

    2025年12月5日

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  • Fan Yang,
  • Xinyuan Wen,
  • Yuanhong Ren,
  • Guangchen Zhang

摘要

This paper develops exponential incremental stabilizability (EIS) for nonlinear continuous-time (NCT) systems expressed by exponential incremental QSR-dissipativity (i-QSR-D) possessing the linear static output feedback (SOF). Specifically, we provide sufficient and necessary conditions for EIS and show that EIS implies the exponential i-QSR-D for NCT systems. In addition, utilizing the concept of incremental geometric QSR-dissipativity (i-GQSR-D), a condition both necessary and sufficient is proffered to guarantee geometric incremental stabilizability (GIS) for nonlinear discrete-time (NDT) systems. We establish two new design and analysis frames of SOF stabilization to achieve respectively EIS and GIS of the closed-loop system. Lastly, examples are furnished to elucidate the efficacy of the results.