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This paper presents a new stability preserving interpolation technique for robust gain scheduling autopilot design. The interpolation method is based on interpolation in the common stability region of local controllers and generates a gain-scheduled controller that is stabilizing at every operating point of a closed loop system. For selection of stability region of local controllers, the notion of the v-gap metric and its connection to robust loop-shaping theory is used. The proposed method facilitates the design of gain-scheduled controllers that preserves stability of the closed loop system. The simulation results given show the generality and effectivneness of the proposed control strategy in terms of the stability, performance and robustness, of the system.