Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling
This work presents a strategy to control nonlinear responses of aeroelastic systems with control surface freeplay. The proposed methodology is developed for the three degrees of freedom typical section airfoil considering aerodynamic forces from Theodorsen’s theory. The mathematical model is written...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/597827 |
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| Summary: | This work presents a strategy to control nonlinear responses of aeroelastic systems with control
surface freeplay. The proposed methodology is developed for the three degrees of freedom typical
section airfoil considering aerodynamic forces from Theodorsen’s theory. The mathematical model
is written in the state space representation using rational function approximation to write the
aerodynamic 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 simulations
with different initial conditions are performed using a modified Runge-Kutta algorithm to compare
the system with and without control forces. It is shown that this approach can compute linear
control gain able to stabilize aeroelastic systems with discontinuous nonlinearities. |
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| ISSN: | 1070-9622 1875-9203 |