Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
The development of a non-certainty-equivalent adaptive control system for the control of a nonlinear aeroelastic system is the subject of this paper. The prototypical aeroelastic wing section considered here includes structural nonlinearity and a single control surface for the purpose of control. Its dynamical model has two-degree-of-freedom and describes the plunge and pitch motion. It is assumed that the model parameters (except the sign of one of the control input coefficients) are not known. The uncontrolled aeroelastic model exhibits limit cycle oscillation beyond a critical free-stream velocity. Based on the attractive manifold, and the immersion and invariance methodologies, a non-certainty-equivalent adaptive state variable feedback control law for the trajectory tracking of the pitch angle is derived. Using the Lyapunov analysis, asymptotic convergence of the state variables to the origin is established. It is shown that the trajectory of the system converges to a manifold. The special feature of the designed control system is that the closed-loop system asymptotically recovers the performance of a deterministic controller. This cannot happen if certainty-equivalent adaptive controllers are used. Simulation results are presented which show that the control system suppresses the oscillatory responses of the system in the presence of large parameter uncertainties.
Rocznik
Tom
Strony
463--471
Opis fizyczny
Bibliogr. 28 poz., wykr.
Twórcy
autor
autor
- Division of Electronic Information and Communication Eng., Gangwon 210-701, S. Korea
Bibliografia
- [1] Y. C. Fung, An Introduction to the Theory of Aeroelasticity. New York: Wiley, 1955, pp. 207-215.
- [2] E. H. Dowell(Editor), A Modern Course in Aeroelasticity. MA: Kluwer Academic Publishers, 1995, ch. 1.
- [3] V. Mukhopadhyay, “Historical perspective on analysis and control of aeroelastic responses,” Journal of Guidance, Control, and Dynamics, vol. 26, no. 5, pp. 673-684, 2003.
- [4] R. Lind and M. Brenner, Robust Aeroservoelastic Stability Analysis. Great Britain: Springer-Verlag, 1999.
- [5] M. R. Waszak, “Robust multivariable flutter suppression for the benchmark active control technology wind- tunnel model,” Journal of Guidance, Control, and Dynamics, vol. 24, no. 1, pp. 147-153, 2001.
- [6] R. C. Scott, S. T. Hoadley, C. D. Wieseman, and M. H. Durham, “Benchmark active controls technology model aerodynamic data,” Journal of Guidance, Control and Dynamics, vol. 23, no. 5, pp. 914-921, 2000.
- [7] V. Mukhopadhyay, “Transonic flutter suppression control law design and wind-tunnel test results,” Journal of Guidance, Control and Dynamics, vol. 23, no. 5, pp. 930-937, 2000.
- [8] A. G. Kelkar and S. M. Joshi, “Passivity-based robust control with application to benchmark active controls technologywing,” Journal of Guidance, Control and Dynamics, vol. 23, no. 5, pp. 938-947, 2000.
- [9] J. M. Barker and G. J. Balas, “Comparing linear parameter- varying gainscheduled control techniques for active flutter suppression,” Journal of Guidance, Control and Dynamics, vol. 23, no. 5, pp. 948-955, 2000.
- [10] D. M. Guillot and P. P. Friedmann, “Fundamental aeroservoelastic study combining unsteady computational fluid mechanics with adaptive control,” Journal of Guidance, Control and Dynamics, vol. 23, no. 6, pp. 1117-1126, 2000.
- [11] R. C. Scott and L. E. Pado, “Active control ofwind-tunnel model aeroelastic response using neural networks,” Journal of Guidance, Control and Dynamics, vol. 23, no. 6, pp. 1100-1108, 2000.
- [12] J. Ko, A. J. Kurdila, and T. W. Strganac, “Nonlinear control of a prototypical wing section with torsional nonlinearity,” Journal of Guidance, Control and Dynamics, vol. 20, no. 6, pp. 1181-1189, 1997.
- [13] J. Ko, T. W. Strganac, and A. J. Kurdila, “Stability and control of a structurally nonlinear aeroelastic system,” Journal of Guidance, Control, and Dynamics, vol. 21, no. 5, pp. 718-725, 1998.
- [14] J. J. Block and T. W. Strganac, “Applied active control for a nonlinear aeroelastic structure,” Journal of Guidance, Control, and Dynamics, vol. 21, no. 6, pp. 838-845, 1998.
- [15] K. W. Lee and S. N. Singh, “Global robust control of an aeroelastic system using output feedback,” Journal of Guidance, Control and Dynamics, vol. 30, no. 1, pp. 271-275, 2007.
- [16] W. Xing and S. N. Singh, “Adaptive output feedback control of a nonlinear aeroelastic structure,” Journal of Guidance, Control and Dynamics, vol. 23, no. 6, pp. 1109-1116, 2000.
- [17] J. Ko, T.W. Strganac, and A. J. Kurdila, “Adaptive feedback linearization for the control of a typical wing section with structural nonlinearity,” Nonlinear Dynamics, vol. 18, no. 3, pp. 289-301, 1999.
- [18] A. Behal, V. M. Rao, P. Marzocca, and M. Kamaludeen, “Adaptive control for a nonlinear wing section with multiple flaps,” Journal of Guidance, Control, and Dynamics, vol. 29, no. 3, pp. 744-749, 2006.
- [19] S. N. Singh and M. Brenner, “Modular adaptive control of a nonlinear aeroelastic system,” Journal of Guidance, Control, and Dynamics, vol. 26, no. 3, pp. 443-451, 2003.
- [20] K. S. Narendra and A. M. Annaswamy, Stable Adaptive Systems. NJ: Prentice Hall, 1989.
- [21] M. Krstic, I. Kanellakopoulos, and P. Kokotovic, Nonlinear and adaptive control design. NY: John Wilely, 1995.
- [22] A. Astolfi and R. Ortega, “Immersion and invariance : a new tool for stabilization and adaptive control of nonlinear systems,” in IEEE Transaction on Automatic Control, vol. 48, no. 4, 2003, pp. 590-606.
- [23] D. Karagiannis and A. Astolfi, “Nonlinear adaptive control of systems in feedback form : An alternative to adaptive backstepping,” in IFAC Symposium on Large Scale Systems : Theory and Applications, 2004, pp. 71-76.
- [24] A. Astolfi, D. Karagiannis, and R. Ortega, Nonlinear and adaptive Control with applications. London: Springer-Verlag, 2008.
- [25] D. Seo and M. R. Akella, “High-performance spacecraft attitudetracking control through attracting-manifold design,” Journal of Guidance, Control and Dynamics, vol. 31, no. 4, pp. 884-891, 2008.
- [26] D. Seo and M. Akella, “Non-certainty equivalent adaptive control for robot manipulator systems,” Systems & Control Letters, vol. 58, pp. 304-308, 2009.
- [27] K. W. Lee and S. N. Singh, “Immersion and invariance based adaptive control of a nonlinear aeroelastic system,” Journal of Guidance, Control, and Dynamics, vol. 32, no. 4, pp. 1100-1110, 2009.
- [28] K. W. Lee and S. N. Singh, “Noncertainty-equivalent adaptive satellite attitude control using solar radiation pressure,” Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering, November 2009.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0046-0037