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Robust stabilization of nonlinear systems based on linear SOF controller
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DOI：10.1007/s11071-025-11946-y.png)
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Abstract
En 中文
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.
Keywords:
Exponential incremental QSR-dissipativity
Incremental geometric QSR-dissipativity
SOF stabilizability
Journal
IF:
6
Papers:
1.4W
Citations:
4.1W