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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1832559168633962496 |
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| author | Douglas Domingues Bueno Luiz Carlos Sandoval Góes Paulo José Paupitz Gonçalves |
| author_facet | Douglas Domingues Bueno Luiz Carlos Sandoval Góes Paulo José Paupitz Gonçalves |
| author_sort | Douglas Domingues Bueno |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c7801e9a1b0f481f9d7823b63cbaccad |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-c7801e9a1b0f481f9d7823b63cbaccad2025-02-03T01:30:40ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/597827597827Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno ModelingDouglas Domingues Bueno0Luiz Carlos Sandoval Góes1Paulo José Paupitz Gonçalves2Aeronautical Institute of Technology (ITA), 12 228-900 São José dos Campos, SP, BrazilAeronautical Institute of Technology (ITA), 12 228-900 São José dos Campos, SP, BrazilUniversidade Estadual Paulista (UNESP), 17 033-360 Bauru, SP, BrazilThis 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.http://dx.doi.org/10.1155/2014/597827 |
| spellingShingle | Douglas Domingues Bueno Luiz Carlos Sandoval Góes Paulo José Paupitz Gonçalves Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling Shock and Vibration |
| title | Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling |
| title_full | Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling |
| title_fullStr | Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling |
| title_full_unstemmed | Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling |
| title_short | Control of Limit Cycle Oscillation in a Three Degrees of Freedom Airfoil Section Using Fuzzy Takagi-Sugeno Modeling |
| title_sort | control of limit cycle oscillation in a three degrees of freedom airfoil section using fuzzy takagi sugeno modeling |
| url | http://dx.doi.org/10.1155/2014/597827 |
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