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Robust and non-fragile fuzzy H∞ control of radar gimbal stabilization system with time-delay

In this paper, we describe the controller design method for nonlinear radar gimbal stabilization system with time-delay with polytopic uncertainty. In order to consider nonlinearity of the gimbal bearing frictional torque, we represent T-S fuzzy model for the nonlinear gimbal system. And the represented model can be rewritten as Parameterized Linear Matrix Inequalities (PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. We show that the resulting fuzzy controller guarantees the asymptotic stability and disturbance attenuation of the closed-loop system in spite of controller gain variations within a resulted polytopic region.