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A synthesis of reduced-order compensators for active flutter suppression of a two-dimensional airfoil is studied using the optimal projection method. In the method, condition for minimizing a quadratic performance index is taken into consideration for a compensator whose the order is less than the order of the controlled plant. A reduced-order compensator is then constructed by satisfying the condition. In this paper, rough derivation of two modified Riccati equations and two modified Lyapunov equations as the condition are shown. Since these equations are coupled each other, it is not possible to solve them at one time. Therefore, iterative calculation methods are examined and an algorithm which improves a defect of the existing iterative method is proposed. Numerical simulations which are carried out using thirteenth-order active flutter suppression systems of a two-dimensional airfoil show that the optimal projection method can yield second-order compensators in all simulation cases, and compensators whose the order is six or more almost show the same control performance as the optimal observer, that is, Kalman filter.

A synthesis of reduced-order compensators for active flutter suppression system based on the optimal projection method.