> Problem statement: This study developed a new application for the output model reference adaptive control of linear continuous systems based on the concepts of hyper-stability. Approach: The main idea is to design a non-linear controller which will ensure the minimal error between the reference model and the plant outputs. Results: Therefore, the synthesis of adaptive control with a model of reference was done either using the theory of Lyapunov or from the concept of hyper-stability. The proposed approach was developed and applied to a lateral motion of aircraft, in order to determine the lateral and directional control angles required for trim under steady turns and sideslips. Also, this application is based on the directional and lateral static stability derivatives of the aircraft. Conclusion/Recommendations: Simulation results showed the effectiveness of the proposed application method.
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