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Abstract
To study the aircraft response to a fast pull-up manoeuvre, a short period approximation of the longitudinal model is considered. The model is highly nonlinear and includes parametric uncertainties. To cope with a wide range of command signals, a robust adaptive fuzzy logic controller is proposed. The proposed controller adopts a dynamic inversion approach. Since feedback linearization is practically imperfect, robustifying and adaptive components are included in the control law to compensate for modeling errors and achieve acceptable tracking errors. Two fuzzy systems are implemented. The first system models the nominal values of the system’s nonlinearity. The second system is an adaptive one that compensates for modeling errors. The derivation of the control law based on a dynamic game approach is given in detail. Stability of the closed-loop control system is also verified. Simulation results based on an F16-model illustrate a successful tracking performance of the proposed controller.
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References
- ADAMS, R.J., BUFFINGTON, J.M., SPARKS, A.G., and BANDA, S.S., 1994. Robust multivariable flight control, Springer-Verlag, New York.
- BOYD, S., EL GHAOUI, L., FERON, E., and BALAKRISHNAN, A. 1994. Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia.
- CHAING, R.Y., SAFANOF, M., G., K., MADDEN, K.P., and TEKAWY, J.A. 1990. A Fixed Controller for a Super-Maeuverable Fighter Aircraft Performing the Herbst Manoeuvre. The 29th IEEE CDC, Honolulu.
- CHEN, B.S., UANG, H.J., and TSENG, C.S.1998. Robust Tracking Enhancement of Robot Systems Including Motor Dynamics: A Fuzzy-Based Dynamic Game Approach. IEEE Trans. on Fuzzy Systems, 6: 538-552.
- HEDRICK, J.K. and GOPALSWAMY, S. 1990. Nonlinear Flight Control Design via Sliding Methods. J. Guidance, 13: 850-858.
- KOSKO, B. 1997. Fuzzy Engineering. Prentice Hall, New Jersey.
- LEE, A.W. and HEDRICK, J.K. 1994. Application of approximate I/O linearization to aircraft flight control. Journal of Dynamic Systems, Measurement, and Control, 166: 429-436.
- NELSON, R.C.1998. Flight Stability and Automatic Control. WCB/McGraw-Hill, Singapore.
- REINER, J., BALAS, G.J., and GARRAD, W.L. 1995. Robust Dynamic Inversion for Control of Highly Maneuverable Aircraft. Journal of Guidance, Control and Dynamics, 18: 18-24.
- SINGH, S. and STEINBERG, M. 1996. Adaptive Control of Feedback Linearizable Nonlinear Systems with Application to Flight Control. Journal of Guidance, Control, and Dynamics, 19: 871-877.
- SPILLMAN, M.S. 2000. Robust Longitudinal Flight Control Design Using Linear Parameter-Varying Feedback. Journal of Guidance, Control, and Dynamics, 23: 101-108.
- WANG, L.X. 1994. Adaptive Fuzzy Systems and Control. Prentice Hall, New Jersey.
- WILSON, H.W. 2000. The Use of Fuzzy Logic in Adaptive Flight Control Systems. Aeronautical Journal, 104: 31-37.
References
ADAMS, R.J., BUFFINGTON, J.M., SPARKS, A.G., and BANDA, S.S., 1994. Robust multivariable flight control, Springer-Verlag, New York.
BOYD, S., EL GHAOUI, L., FERON, E., and BALAKRISHNAN, A. 1994. Linear Matrix Inequalities in System and Control Theory. SIAM, Philadelphia.
CHAING, R.Y., SAFANOF, M., G., K., MADDEN, K.P., and TEKAWY, J.A. 1990. A Fixed Controller for a Super-Maeuverable Fighter Aircraft Performing the Herbst Manoeuvre. The 29th IEEE CDC, Honolulu.
CHEN, B.S., UANG, H.J., and TSENG, C.S.1998. Robust Tracking Enhancement of Robot Systems Including Motor Dynamics: A Fuzzy-Based Dynamic Game Approach. IEEE Trans. on Fuzzy Systems, 6: 538-552.
HEDRICK, J.K. and GOPALSWAMY, S. 1990. Nonlinear Flight Control Design via Sliding Methods. J. Guidance, 13: 850-858.
KOSKO, B. 1997. Fuzzy Engineering. Prentice Hall, New Jersey.
LEE, A.W. and HEDRICK, J.K. 1994. Application of approximate I/O linearization to aircraft flight control. Journal of Dynamic Systems, Measurement, and Control, 166: 429-436.
NELSON, R.C.1998. Flight Stability and Automatic Control. WCB/McGraw-Hill, Singapore.
REINER, J., BALAS, G.J., and GARRAD, W.L. 1995. Robust Dynamic Inversion for Control of Highly Maneuverable Aircraft. Journal of Guidance, Control and Dynamics, 18: 18-24.
SINGH, S. and STEINBERG, M. 1996. Adaptive Control of Feedback Linearizable Nonlinear Systems with Application to Flight Control. Journal of Guidance, Control, and Dynamics, 19: 871-877.
SPILLMAN, M.S. 2000. Robust Longitudinal Flight Control Design Using Linear Parameter-Varying Feedback. Journal of Guidance, Control, and Dynamics, 23: 101-108.
WANG, L.X. 1994. Adaptive Fuzzy Systems and Control. Prentice Hall, New Jersey.
WILSON, H.W. 2000. The Use of Fuzzy Logic in Adaptive Flight Control Systems. Aeronautical Journal, 104: 31-37.