Stability condition of robust and non-fragile H^∞ hovering control with real-time tuning available fuzzy compensator

In this paper, we describe the synthesis of robust and non-fragile H ^∞ state feedback controllers for linear systems with affine parameter uncertainties, as well as a static state feedback controller with polytopic uncertainty. The sufficient condition of controller existence, the design method of robust and non-fragile H^∞ static state feedback controller with fuzzy compensator, and the region of controllers that satisfies non-fragility are presented. We show that the resulting controller guarantees the asymptotic stability and disturbance attenuation of the closed loop system in spite of controller gain variations within a resulted polytopic region.