Información del artículo
Resumen
Las técnicas de asignación de autoestructuras (Eigenstructure Assignment – EA) han sido aplicadas con éxito al diseño de controladores en diferentes sectores industriales durante las últimas décadas. En este artículo se presentan los aspectos más interesantes del método general y de las técnicas de asignación comúnmente utilizadas. Los métodos de asignación son considerados como técnicas de control modal, por lo que en el diseño de controladores aplicado a cualquier sistema se infiere un análisis de los modos del mismo. Se incluye una revisión de las aplicaciones más interesantes sustentada por los trabajos realizados por numerosos autores. En particular, se introduce una aplicación concreta de los métodos de asignación de autoestructuras al sector aeroespacial.
Palabras clave:
Control aeroespacial
asignación de autoestructuras
desacoplo dinámico
Abstract
The methods based on Eigenstructure Assignment (EA) have been applied to the successful design of controllers in different industrial application over the last decades. In this paper the most interesting aspects of the EA methods are reviewed. The EA methods are considered by control researchers as a modal method. The paper also includes a review to the literature related to aerospace applications and EA controllers design. A numerical example is included in this work to show the whole process taken to design a static controller applied to a spacececraft.
Keywords:
Aerospace control
Eigenstructure assignment
Dynamic decoupling
Texto completo
Referencias no citadas
Andry et al., 1983, Antequera et al., 2006, Aranda and Crespo, 2007, Bong and Choi, 2007, Bruyère et al., 2003, Burrows et al., 1989, Ching-Fang Li, 1993, Choi, 1998, Clarke et al., 2003, Crespo and Aranda, 2009, Crespo and Aranda, 2011, Davidson and Dominich, 1994, De la Cruz and Aranda, 1997, Döll et al., 2001, Duan, 2002, Duan, 2003, Faleiro and Pratt, 1997, Ganet-Choeller and Rongier, 2003, Garrad et al., 1989, Juang et al., 1989, Kautsky et al., 1985, Kimura, 1975, Liu and Patton, 1998, Magni and Jean-Francois, 2002, Mengali, 2003, Merkel et al., 2004, Moore, 1976, Mudge and Patton, 1988, Nieto-Wire, 2007, Nieto-Wire and Sobel, 2009, Oliva and Leite Filho, 2002, Patton and Liu, 1994, Pomfret et al., 2008, Pomfret and Clarke, 2009, Porter and D’azzo, 1978, Pratt, 2000, Satoh and Sugimoto, 2003, Sobel and Shapiro, 1985, Srinathkumar, 1978, Srinathkumar, 2008, Srinathkumar, 2011, Thimmaraya et al., 2010, Tsai et al., 2004, Wang et al., 2011, Wilson et al., 1992, Wonham, 1967, Wu et al., 2004 and Xue and Duan, 2005.
Referencias
[Andry et al., 1983]
Andry, A.N.; Shapiro, E.Y.; Chung, J.C. (1983) “Eigenstructure Assignment for Linear Systems”. IEEE Transactions On Aerospace And Electronic Systems Vol. AES-19, no. 5 Septiembre de 1983, pp. 711-729.
[Antequera et al., 2006]
Antequera, N., Santos, M. y De la Cruz, J.M. (2006). A Helicopter Control based on Eigenstructure Assignment. 11th IEEE Int. Conf. on Emerging Technologies and Factory Automation, 2006, pp.719-724.
[Aranda and Crespo, 2007]
Aranda, J. y Crespo, J. (2007). Agosto de 2007: Modal Analysis Applied to Spacecraft Attitude Control. Congreso AIAA Guidance, Control and Dynamics Conference, Savanah, Georgia, EEUU, 20-23 de Agosto de 2007. Código AIAA Meeting Papers CD-CODE: 1500-339019.
[Bong and Choi, 2007]
Bong, Y.; Choi, J.W. (2007). Eigenstructure Assignment Considering Probability of Instability with Flight Control Application. International Journal of Control, Automation and Systems. Vol. 5, No. 6, Diciembre de 2007, pp. 607-613.
[Bruyère et al., 2003]
Bruyère, L., White, B.A., Tsourdos, A. (2003). Dynamic Inversion for Missile Lateral Velocity Control Via Polynomial Eigenstructure Assignment. AIAA Guidance, Navigation and Control Conference and Exhibit. 11-14 de Agosto de 2003, Austin, Texas.
[Burrows et al., 1989]
Burrows, S.P., Patton R. J., Szymanski J. E. (1989). Robust Eigenstructure Assignment with a Control Design Package. IEEE Control Systems Magazine. Issue 4, Junio de 1989, pp. 29-32.
[Ching-Fang Li, 1993]
Ching-Fang Li (1993): Ching-Fang Li. “Advanced Control Systems Design”. Prentice Hall Series in Advanced Guidance and Control and their Applications, 1993.
[Choi, 1998]
Choi, J.W. (1998). A Simultaneous Assignment Methodology of Right/Left Eigenstructures, IEEE Transaction on Aerospace and Electronic Systems. Vol. 34, Issue 2, Abril de 1998, pp. 625-634.
[Clarke et al., 2003]
Clarke, T., Ensor, J., Griffin, J. (2003). Desirable Eigenstructure for Good Short-Term Helicopter. Proceedings of the Institution for Mechanical Engineering Vol. 217 Part G: Journal of Aerospace Engineering, 2003, pp.43-56.
[Crespo and Aranda, 2009]
Crespo, J. y Aranda, J. (2009). Application of the Eigenstructure Assignment Method to Design Flexible Spacecrafts Controllers. Congreso EUCASS - European Conference for Aeroespace Sciences, Versailles, Francia, del 6 al 9 de Julio de 2009. ISBN: 978-2-930389-47-8.
[Crespo and Aranda, 2011]
Crespo, J. y Aranda, J. (2011). Eigenstructure Assignment Based Controllers Applied to Flexible Spacecraft. Proceedings of the Institution of Mechanical Engineeers, Part G. Journal of Aeroespace Engineering. 2011. DOI: 10.177/2041302510393027.
[Davidson and Dominich, 1994]
Davidson, J.B., Dominich A. (1994). Gain Weighted Eigenspace Assignment. NASA Technical Memorandum 109130, Mayo de 1994.
[De la Cruz and Aranda, 1997]
De la Cruz, J.M.; Aranda, J. (1997) Método de Asignación de Autoestructura para Diseño de Sistemas MIMO . XVII Curso de Automática en la Industria, 16-20 de Junio de 1997.
[Döll et al., 2001]
Döll, C.; Le Gorrec, Y., Ferreres, G. y Magni, J.F. (2001). A Robust Self- Scheduled Missile Autopilot. Design by Multi-model Eigenstructure Assignment Control Engineering Practice 9. Vol. 9, Octubre 2001, pp.1067-1078.
[Duan, 2002]
Duan G. R. (2002). Parametric Eigenstructure Assignment via State Feedback: A Simple Numerically Reliable Approach. Proceedings of the 4° World Congress on Intelligent Control and Automation, vol. 1, Junio de 2002, 165-173.
[Duan, 2003]
Duan G. R. (2003). Parametric Eigenstructure Assignment Via Output Feedback Based on Singular Value Decompositions . IEE Procedings on Control Theory Applications. Vol. 150, Issue 1. Enero de 2003, pp. 93-100.
[Faleiro and Pratt, 1997]
Faleiro, L., Pratt, R. (1997). RCAM Design Challenge Presentation Document: An Eigenstructure Assignment Approach . GARTEUR/TP-088-18 Abril de 1997.
[Ganet-Choeller and Rongier, 2003]
Ganet-Choeller, M.,Rongier, I. (2003). Scheduled Robust Attitude Control Law for Flexible Launchers using Eigenstructure Assignment and H∞ Techniques. AIAA Guidance, Navigation, and Control Conference And Exhibit, AIAA 11-14 de Agosto de 2003, Austin, Texas.
[Garrad et al., 1989]
Garrad, W.L., Low, E., Prouty, S. (1989). Design of Attitude and Rate Command Systems for Helicopters Using Eigenstructure Assignment. Journal of Guidance, Control and Dynamics, vol. 12, n° 6, Noviembre- Diciembre de 1989, pp. 783-792.
[Juang et al., 1989]
Juang, J., Lim, K., Junkins, J.L. (1989). Robust Eigensystem Assignment for Flexible Structures. Journal of Guidance, Control and Dynamics, Vol.12, N°3, Mayo-Junio de 1989, pp. 381-387.
[Kautsky et al., 1985]
Kautsky, J., Nichols, N.K., Van Dooren, P. (1985). Robust Pole Assignment in Linear State Feedback. International Journal of Control, Vol. 41, 1985, pp. 1129-1155.
[Kimura, 1975]
Kimura, H. (1975). Pole Assignment by Gain Output Feedback. IEEE Transactions on Automatic Control, Issue 4, Vol. 20, Agosto de 1975, pp. 509-516.
[Liu and Patton, 1998]
Liu, G.P., Patton, R.J. (1998). Eigenstructure Assignment for Control System Design. John Wiley and Sons, 1998.
[Magni and Jean-Francois, 2002]
Magni, Jean-Francois. (2002). Robust Modal Control with a Toolbox for Use with MATLAB. ONERA-Toulouse. Kluwer Academic/Plenum Publishers, 2002.
[Mengali, 2003]
Mengali, G. (2003). Role of Eigenvectors in Aircraft Dynamics Optimization. Journal of Guidance, Control and Dynamics, Vol. 26, No. 2, Marzo-Abril de 2003, pp. 340-346.
[Merkel et al., 2004]
Merkel, M. Heinrich, M., Cark, U. (2004). Enhanced Eigenstructure Assignment for Aeroelastic Control Application. Aerospace, Science and Technology. German Aerospace Congress, y Aerospace, Junio de 2004, pp. 533-543.
[Moore, 1976]
Moore, B. C(1976). On the Flexibility Offered by State Feedback in Multivariable Systems Beyond Closed Loop Eigenvalue Assignment. IEEE Transactions on Automatic Control, Octubre de 1976, pp. 207-214.
[Mudge and Patton, 1988]
Mudge, S.K., Patton, R.J. (1988). Analysis of the Technique of Robust Eigenstructure Assignment with Application to Aircraft Control. IEE Proceedings, Vol. 135, n° 4, Julio de 1988, pp. 275-281.
[Nieto-Wire, 2007]
Nieto-Wire y Sobel, C. (2007). Eigenstructure Assignment for a Tailless Aircraft . AIAA Guidance, Navigation and Control Conference and Exhibit, 20-23 de Agosto de 2007, Hilton Head, Carolina del Sur.
[Nieto-Wire and Sobel, 2009]
Nieto-Wire, C. y Sobel, K. (2009). Reconfigurable Delta Operator Eigenstructure Assignment for a Tailless Aircraft. AIAA Guidance, Navigation and Control Conference, Chicago, Illinois, Agosto de 2009. AIAA-2009-6306.
[Oliva and Leite Filho, 2002]
Oliva, A.P., Leite Filho, W.C. (2002). Eigenstructure versus Optimal Control for Decoupling. Control Engineering Practice, Vol. 19, Issue 10, Octubre de 2002, pp. 1059-1079.
[Patton and Liu, 1994]
Patton, R.J.; Liu, G.P. (1994). Robust Control Design Via Eigenstructure Assignment, Genetic Algorithms and Gradient-Based Optimisation. IEE Proceedings-Control theory applications, Mayo de 1994, volumen 141, issue 3, pp 202-208.
[Pomfret et al., 2008]
Pomfret, A., Griffin, S., Clarke, T. (2008). Eigenstructure Assignment for Helicopter Hover Control. Proceedings of the 17th World Congress. The International Federation of Automatic Control Seoul, Korea, 6-11 de Julio, 2008-IFAC, pp. 5776-5781.
[Pomfret and Clarke, 2009]
Pomfret, A., Clarke, T. (2009). Desirable eigenstructure for good short-term helicopter handling qualities: the rate command response case. Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering Part G, vol. 223, n° 8, Abril de 2009. DOI: 10.1243/09544100JAERO584, pp 1059-1065.
[Porter and D’azzo, 1978]
Porter, B. y D’azzo, J. (1978). Algorithm for closed-loop eigenstructure assignment by state feedback in multivariable linear systems, Int. J. Control, Vol. 27, pp.943-947, 1978.
[Pratt, 2000]
Pratt, R.W. (2000). Flight Control Systems: Practical Issues in Design and Implementation. Control Engineering Series 57. Edited by Roger W. Pratt, The Institution of Electrical Engineers.
[Satoh and Sugimoto, 2003]
Satoh, A., Sugimoto, K. (2003). Partial Eigenstructure Assignment Approach for Robust Flight Control. Journal of guidance, control and dynamics, Vol. 27, n° 1, 2004, pp. 145-149.
[Sobel and Shapiro, 1985]
Sobel, K.M., Shapiro, E.Y. (1985). Application of Eigenstructure Assignment to Flight Control Design. Some Extensions Journal of Guidance, Vol. 10, Issue. 1, Febrero de 1987, pp. 73-81.
[Srinathkumar, 1978]
Srinathkumar, S. (1978). Eigenvalue/Eigenvector Assignment Using Output Feedback . NASA Technical Paper 1118. Febrero de 1978.
[Srinathkumar, 2008]
Srinathkumar, S. (2008). Eigenstructure Control: A Flight Vehicle Handling Qualities Design Tool. Proceedings of the International Conference on Aerospace Science and Technology 26-28 de Junio de 2008, Bangalore, India.
[Srinathkumar, 2011]
Srinathkumar, S. (2011). Eigenstructure Control Algorithms. ISBN: 978-1-84919-259-0.
[Thimmaraya et al., 2010]
Thimmaraya, R., Nararaj, C. y Lee, D. (2010). Linear Time-Varying Tracking Control with Application to Unmmanned Aerial Vehicles. 2010 AACC. 2010 American Control Conference Marriott Waterfront, Baltimore, MD, USA 30 de Junio a 2 de Julio, 2010, pp. 806-811.
[Tsai et al., 2004]
Tsai, H., Lin, J., Chiang, T., Cheng, C. (2004). Optimal Satellite Attitude Control Systems Design by Combination of Eigenstructure Assignment and LEQG/LTR Methods. Proceedings of the 5th World Congress on Intelligent Control and Automation. Junio de 2004, pp. 407-412.
[Wang et al., 2011]
Wang, F., Ankersen, F., Tsourdos, A., Stanley, A., White, B, The design of polynomial Eigenstructure Assignment Controller and its robust analysis for flexible spacecraft precise control system. AIAA Guidance, Navigatin and Control Conference, AIAA 2011. 8-11 August 201, Portland, Oregon. DOI: 10.2514/6.2011-6508.
[Wilson et al., 1992]
Wilson, Robert F., Cloutier, James R., Yedavalli, R.K. (1992). Control Design for Robust Eigenstructure Assignment in Linear Uncertain Systems. IEEE Control Systems. Octubre de 1992, pp. 29-34.
[Wonham, 1967]
Wonham, W. M (1967). On Pole Assigment in Multi-input Controllable Linear Systems. IEEE Transactions on Automatic Control, AC-12(6), pp. 660-665.
[Wu et al., 2004]
Wu, F., Wei, W., Grimble, M.J. (2004). Robust MIMO Control-System Design Using Eigenstructure Assignment and QFT . IEE Proceedings: Control theory and applications, Vol. 151, n° 2, 2004, pags. 198-209.
[Xue and Duan, 2005]
Xue, Y.; Duan, G-R. (2005). Eigenstructure Assignment for Linear Systems with Constrained Output Via State Feedback – a Parametric Approach. Proceedings of the fourth international conference on machine learning and cybernetics, Guangzhou, 18-21de Agosto de 2005, pp. 1454-1459.
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