Set Membership Strategy for Closed Loop Aircraft Flutter Controller Design

We consider the problem of set membership identification and control for closed loop aircraft flutter platform within the practical case of bounded noise. Several mathematical derivations are presented for closed loop aircraft flutter identification and control through our mentioned set membership strategy. First, a more practical closed loop aircraft flutter platform is constructed with the external bounded noise, extending the classical while noise and statistical noise. Then set membership strategy is proposed to achieve the dual goals of flutter identification and flutter control. More specifically, set membership identification is applied to identify the unknown parameters, thus relating with the flutter model frequency and damping coefficient simultaneously. Meanwhile, set membership control is proposed to construct one linearly parameterized aircraft flutter controller, while replacing external noise by its bounded value, and controller parameters are chosen as their corresponding mean values. Finally, numerical example is exemplified to show the applicability of the theoretical results. Generally, here our contributions are two folds. One is set membership identification and the other is set membership control, while combining closed loop structure and bounded noise for closed loop aircraft flutter platform.