Gain-scheduled H_2/H_∞ autopilot design with regional pole placement constraints: An LMI-based approach

In this paper, a gain-scheduled three loop autopilot is designed for a pursuit system which can guarantee the mixed H_2/H_∞ performance and time domain constraints. The gain-scheduled autopilot problem is converted into a static state feedback control for a Linear Parameter Varying (LPV) system and then a control method is proposed by following the Linear Matrix Inequalities (LMIs) approach to satisfy the mixed H_2/H_∞ performance with regional pole placement constraints without any constraints on system matrices. The final gain-scheduled controller is obtained by the interpolation of the finite number of fixed controllers in every vertex, guaranteeing the stability and performance of the LPV system. The simulation results demonstrate the efficiency of the proposed method for the three loop autopilot design.