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This work presents a strategy to control nonlinear responses of aeroelastic systems with controlsurface freeplay. The proposed methodology is developed for the three degrees of freedom typicalsection airfoil considering aerodynamic forces from Theodorsen’s theory. The mathematical modelis written in the state space representation using rational function approximation to write theaerodynamic forces in time domain. The control system is designed using the fuzzy Takagi-Sugeno modeling to compute a feedback control gain. It useds Lyapunov’s stability function and linear matrix inequalities (LMIs) to solve a convex optimization problem. Time simulationswith different initial conditions are performed using a modified Runge-Kutta algorithm to comparethe system with and without control forces. It is shown that this approach can compute linearcontrol gain able to stabilize aeroelastic systems with discontinuous nonlinearities.

Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling