Robust H Control of Chaotic Fractional-Order Systems: Dynamic Output Feedback with saturation and external disturbance Resilience

Nonlinear fractional-order systems (FOS) with chaotic dynamics, face stability challenges under input saturation and external disturbances. This paper addresses a robust H dynamic output feedback (DOF) controller to stabilize FOS with orders 0 < í µí»¼ < 1, using the Gronwall-Bellman lemma and linear matrix inequalities (LMIs). The proposed mechanism ensures oscillation-free convergence, reduces control effort before reaching saturation, provides a stable region (B) and computable region of attraction (ROA) demonstrate effective disturbance rejection. A novel Saturation Resilience Index (SRI) quantifies performance under saturation, achieving SRI = 0.156. These results position suggested framework as a practical strategy for controlling chaotic systems under constraints.