Linear Parameter-Varying Versus Linear Time-Invariant Reduced-Order Controller Design for Turboprop Aircraft Dynamics
The applicability of parameter-varying reduced-order controllers to aircraft models is proposed. A generalization of the balanced singular perturbation method of the linear time-invariant (LTI) system was used to reduce the order of the linear parameter-varying (LPV) system. Based on the reducedorder model, a low-order LPV controller was designed using the H∞ synthesis technique. The performance of the reduced-order controller was examined by applying it to the lateral-directional control of a 20th-order aircraft model. Furthermore, the time responses of the closed-loop system with several reducedorder LPV controllers and a reduced-order LTI controller were compared. The simulation results show that an , 8th -order LPV controller can maintain stability and provide the same level of closed-loop system performance as a full-order LPV controller. This was not the case with the reduced-order LTI controller, which cannot maintain stability and performance for all allowable parameter trajectories.
El-Zobaidi, H.M.H. & Jaimoukha, I., Robust Control and Model and Controller Reduction of Linear Parameter Varying Systems, Proc. of the 37th IEEE Conference on Decision and Control, Tampa, Florida USA 3, pp. 3015-3020, 1998.
Goddard, P.J., Performance-Preserving Controller Approximation, PhD Dissertation, Trinity College Cambridge, 1995.
Wood, D., Goddard, P.J. & Glover, K., Approximation of Linear Parameter Varying Systems, Proceedings of 35th IEEE Conference on Decision and Control, Kobe, Japan, 1996.
Widowati, Nababan, S.M., Riyanto, B., Saragih, R., Reduced-order of LPV Control with Guaranteed Closed-loop Performance, Journal of Indonesian Mathematics Society, 12(1), 2006.
Saragih, R. & Yoshida, K., Reduced-Order of Structural Control using Singular Perturbation Approach, Proc. of the 4th Int. Conf. on MOVIC, 3, pp. 539-544, 1998.
Widowati, Riyanto, B., Saragih, R. & Nababan, S.M., Model Reduction for Unstable LPV Systems Based on Coprime Factorizations and Singular Perturbation, Proceedings of The 5th Asian Control Conference, Melbourne, Australia, pp. 962-969, 2004.
Saragih, R. & Widowati, Coprime Factor Reduction of Parameter Varying Controller, International Journal of Control, Automation, and Systems, 6(6), pp. 836-844, 2008.
Apkarian, P. & Adam, R.J., Advanced Gain Scheduling Techniques for Uncertain Systems, Proceedings of the American Control Conference, 1997.
Becker, G. & Packard, A., Robust Performance of Linear Parametrically Varying Systems Using Parametrically-Dependent Linear Feedback, System and Control Letters, 23, pp. 205-215, 1994.
Bendotti, P. & Bodenheimer, B., Linear Parameter Varying versus Linear Time Invariant Control Design for a Pressurized Water Reactor, Research Article, California Institute of Technology, EE Dept., Pasadena, USA, 1998.
Bruzelius, F., Linear Parameter Varying Systems, PhD Dissertation, Departement of Signal and Systems, Chalmers University of Technology, Goteborg, Sweden, 2004.
Shin, J.Y., Balas, G.J. & Kaya, A.M., Blending Methodology of Linear Parameter Varying Control Synthesis of F-16 Aircraft System,NASA/CR-2001-211237, NASA Langley Research Center, 2001.
Spillman, M., Robust Longitudinal Flight Control Design Using Parameter-Varying Feedback, Journal of Guidance, Control and Dynamics, 2001.
Riyanto, B., Dissipative Control of Linear Parametrically Varying Systems Using Output Feedback: an LMI Approach, International Conference Modeling, Identification and Control, Austria, 1999.
Riyanto, B., Self-Scheduled H∞ Control Design for N250 Aircraft Dynamics Based on Polytopic LPV Model, Proceedings of the IASTED International Conference Control and Applications, Banff, Canada, pp. 52-57, 1999.
Laban, M., On-line Aircraft Aerodynamic Model Indentification, Ph.D Thesis, Delft University of Technology, 1990.
Mc. Lean, D., Automatic Flight Control Systems, Prentice-Hall, 1990.
Muhammad, H., Hariowibowo, H., Legowo, A. & Jenie, S.D., Aerodynamic Parameter Identification of the N-250-PA1 Gatotkoco, TR-01/1998/FTC-DT, IPTN Flight Test Center, Bandung 1998.
Etkin, B. & Reid, L.D., Dynamic of Flight: Stability and Control, Third Edition John Wiley & Sons, 1996.
Gahinet, P., Nemirovski, A., Laub, A. & Chilali, M., The LMI Control Toolbox, The MathWorks, Inc.: Natick, MA, 1995.
- There are currently no refbacks.