Stability and Stabilization of Fractional-Order Linear Systems Subject to Input Saturation

摘要

In this technical note, we provide a method for the asymptotic stabilization of fractional-order linear systems subject to input saturation. Gronwall–Bellman lemma and sector bounded condition of the saturation function are exploited for stability analysis and stabilization of such systems. Based on the proposed stability condition, we provide a bilinear matrix inequality for stability test and an algorithm for estimation of the stable region. Further, we provide an algorithm for state-feedback controller design that maximizes the estimated stable region.