Abstract
Active flutter suppression system of a composite plate wing model is designed using a reduced order model. The analysis for a laminated composite wing with segmented piezoelectric sensor/actuator pairs is conducted by the Ritz solution technique. Unsteady aerodynamic forces calculated by doublet lattice method are approximated as the transfer functions of the Laplace variable by the minimum state method. Among the aerodynamic states obtained from rational function approximation, only one aerodynamic state is included in the plant model for feedback purpose. The neglected aerodynamic states are regarded as modeling error. The control system uses the integrated and collocated piezoelectric self-sensing actuator pairs so as to prohibit the non-minimum phase model and the spillover due to the unmodeled dynamics. Based on the mixed-sensitivityH∞ control method, the control parameters are determined. Using a simple wing model, the performance of the controlled system is shown in the frequency and time domain respectively. The electric current and the power requirement for aeroelastic control are also predicted.
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References
Albano, E. and Rodden, W. P., 1969, “A Doublet-Lattice Method for Calculating Lift distributions on Oscillating Surfaces in Subsonic flows.”AIAA Journal, Vol. 7, No. 2, Feb. pp. 279–285.
Doyle, J. C., Glover, K., Khargonekar, P. P. and Francis, B. A., 1989, “State-Space Solutions to StandardH 2 andH ∞ Control Problems,”IEEE Transactions on Automatic Control, Vol. 34, No. 8, pp. 831–847.
Ehlers, S. M. and Weisshaar, T. A., 1992, “Effects of Adaptive Material Properties on Static Aeroelastic Control,” AIAA Paper No. 92-2526,Proceedings of the 33th Structures, Structural Dynamics and Material Conference, TX, April. pp. 914–924.
Glover, K. and McFarlane, D., 1989, “Robust Stabilization of Normalized Coprime Factor Plant Descriptions withH ∞-Bounded Uncertainty,”IEEE Transactions on Automatic Control, Vol. 34, No. 8, pp. 821–830.
Hoadley, S. T. and Karpel, M., 1991, “Application of Aeroservoelastic Modeling Using Minimum-State Unsteady Aerodynamic Approximations,”Journal of Guidance, Control, and Dynamics, Vol. 14, No. 6, pp. 1267–1276.
Leeks, T. J. and Weisshaar, T. A., 1994, “Optimizing Induced Strain Actuators for Maximum Panel Deflection,” AIAA Paper No. 94-1774,Proceedings of the AIAA/ASME Adaptive Structures Forum, SC, April. pp. 378–387.
Leeks, T. J. and Weisshaar, T. A., 1995, “Optimization of Unsymmetric Actuators for Maximum Panel Deflection Control,”Proceedings on Smart Structures and Materials ’95, SPIE, San Diego, CA, March, pp. 62–75.
Lin, C. Y. and Crawley, E. F., 1994, “Towards Optimal Aeroelastic Control Using Elastic and Induced Strain Anisotropy,” AIAA Paper No. 94-1547,Proceedings of the 35th Structures, Structural Dynamics and Material Conference, SC, April, pp. 1781–1792.
Moore, B. C., 1981, “Principal Component Analysis in Linear Systems: Controlability, Observability, and Model Reduction,”IEEE Transactions on Automatic Control, AC-26, pp. 17–31.
Nam, C., Kim, Y. and Weisshaar, T. A., 1995, “Optimal Sizing and Placement of Piezo Actuators for Active Flutter Suppression,”Proceedings on Smart Structures and Materials ’95, SPIE, San Diego, CA, March, pp. 40–51.
Nam, C. and Kim, Y., 1995, “Optimal Design of Adaptive Composite Lifting Surface for Flutter Suppression,”AIAA Journal, Vol. 33, No. 10, Oct. pp. 1897–1904.
Safonov, M. G., Limebeer, D. J. N. and Chiang, R. Y., 1989, “Simplifing theH ∞ Theory via Loop Shifting, Matrix Pencil and Descriptor Concepts,”International Journal of Control, Vol. 50, No. 6, pp. 2467–2488.
Suleman, A. and Venkayya, V. B., 1994, “Flutter Control of Adaptive Composite Panel,” AIAA Ppaer No. 94-1744,Proceedings of the AIAA/ASME Adaptive Structures Forum, SC, April, pp. 118–126.
Zhou, S., Liang, C. and Rogers, C. A., 1994, “Coupled Electro-Mechanical Impedence Modeling to Predict Power requirement and Energy Efficiency of Piezoelectric Actuators Integrated with Plate-Like Structures,” AIAA Paper No. 94-1762,Proceedings of the AIAA/ASME Adaptive Structures Forum, SC, April, pp. 259–269.
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Kim, J.S., Nam, C. H∞ control for flutter suppression of a laminated plate with self-sensing actuators. KSME Journal 10, 169–179 (1996). https://doi.org/10.1007/BF02953656
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DOI: https://doi.org/10.1007/BF02953656