Buscar en
Revista Iberoamericana de Automática e Informática Industrial RIAI
Toda la web
Inicio Revista Iberoamericana de Automática e Informática Industrial RIAI Sintonización de controladores Pareto-óptimo robustos para sistemas multivaria...
Información de la revista
Vol. 12. Núm. 2.
Páginas 177-188 (Abril - Junio 2015)
Compartir
Compartir
Descargar PDF
Más opciones de artículo
Visitas
3736
Vol. 12. Núm. 2.
Páginas 177-188 (Abril - Junio 2015)
Open Access
Sintonización de controladores Pareto-óptimo robustos para sistemas multivariables. Aplicación en un helicóptero de 2 grados de libertad
Tuning of Pareto-optimal robust controllers for multivariable systems. Application on helicopter of two-degress-of-freedom
Visitas
3736
J. Carrillo-Ahumadaa,
Autor para correspondencia
, G. Reynoso-Mezab, S. García-Nietoc, J. Sanchisc, M.A. García-Alvaradod
a Instituto de Química Aplicada. Universidad del Papaloapan. Circuito Central 200, colonia Parque Industrial, Tuxtepec, Oaxaca, México 68301
b Programa de Posgraduados en Ingeniería de la Producción y Sistemas (PPGEPS). Pontificia Universidad Católica de Paraná (PUCPR). Inmaculada Concepción 1155(80215-901). Curitiba (PR), Brasil
c Instituto Universitario de Automática e Informática Industrial. Universidad Politécnica de Valencia. Camino de Vera s/n 46022. Valencia, España
d Departamento de Ingeniería Química y Bioquímica. Instituto Tecnológico de Veracruz. Av. Miguel Ángel de Quevedo 2779. Veracruz, Ver., México 91860
Este artículo ha recibido

Under a Creative Commons license
Información del artículo
Resumen
Texto completo
Bibliografía
Descargar PDF
Estadísticas
Resumen

La sintonización de controladores Pareto-óptimo robustos ha sido empleada para mejorar el rendimiento de un helicóptero de dos grados de libertad con un algoritmo de control lineal. El procedimiento de sintonización del controlador está basado en la minimización simultánea de las integrales de la suma del cuadrado del error y de la acción de control. Como resultado de dicha minimización y dado que los objetivos entran en conflicto, se obtiene un conjunto de soluciones que describen un frente de Pareto. Posteriormente, un proceso de análisis en los mismos es llevado a cabo para seleccionar los controladores a implementar en el sistema físico. Los resultados experimentales con los controladores seleccionados muestran que el procedimiento de ajuste es eficaz y práctico.

Palabras clave:
Sistema no lineal
control robusto
control óptimo
índices de desempeño
tiempo real.
Abstract

The tuning of Pareto-optimal robust controllers was applied to improve the performance of a helicopter with two-degrees-of-freedom with a linear control algorithm. The tuning procedure is based on the simultaneous minimization of the integral of square sum of errors and the integral of square sum of control action. A 2D Pareto front is built with these integrals. Afterwards, a decision-making process is carried out to select the most preferable controller. Experimental results on the physical platform validate the tuning procedure as practical and reliable.

Keywords:
Nonlinear system
robust control
optimal control
performance indices
real-time.
Referencias
[Ahmad et al., 2000a]
S. Ahmad, A. Chipperfield, M. Tokhi.
Modelling and control of a twin rotor multi-input multi-output system.
American Control Conference 2000. Proceedings of the 2000., 3 (2000), pp. 1720-1724
[Ahmad et al., 2000b]
S. Ahmad, A. Chipperfield, O. Tokhi.
Dynamic modeling and optimal control of a twin rotor mimo system. En: National Aerospace and Electronics Conference, 2000. NAECON 2000.
Proceedings of the IEEE 2000, (2000), pp. 391-398
[Carrillo-Ahumada et al., 2011]
J. Carrillo-Ahumada, G. Rodríguez-Jimenes, M. García-Alvarado.
Tuning optimal-robust linear mimo controllers of chemical reactors by using pareto optimality.
Chemical Engineering Journal, 174 (2011), pp. 357-367
[Coello Coello, 2006]
C. Coello Coello.
Evolutionary multi-objective optimization: A historical view of the field.
IEEE Computational Intelligence Magazine, 1 (2006), pp. 28-36
[Corne and Knowles, 2007]
Corne, D.W., Knowles, J.D., 2007. Techniques for highly multiobjective optimisation: some nondominated points are better than others. En: Proceedings of the 9th annual conference on Genetic and evolutionary computation. GECCO ‘07. ACM, New York, NY, USA, pp. 773-780.
[CSS, 2012]
CSS, 2012. Unmanned aerial vehicle. special issue. IEEE Control Systems magazine 32 (5).
[Figueira et al., 2005]
J. Figueira, S. Greco, M. Ehrgott.
Multiple criteria decision analysis: State of the art surveys.
Springer international series, (2005),
[Fregene, 2012]
K. Fregene.
Unmanned aerial vehicles and control: Lockheed martin advanced technology laboratories.
Control Systems, IEEE, 32 (2012), pp. 32-34
[Gabriel, 2008]
Gabriel, C., 2008. Modelling, simulation and control of a twin rotor mimo-system. Master thesis, Polytechnic University of Valencia, Spain.
[García-Sanz and Elso, 2007a]
M. García-Sanz, J. Elso.
Ampliación del benchmark de diseño de controladores para el cabeceo de un helicóptero.
Revista Iberoamericana de Automática e Informática Industrial, 4 (2007), pp. 107-110
[García-Sanz and Elso, 2007b]
M. García-Sanz, J. Elso.
Resultados del benchmark de diseño de controladores para el cabeceo de un helicóptero.
Revista Iberoamericana de Automática e Informática Industrial, 4 (2007), pp. 117-120
[García-Sanz et al., 2006]
M. García-Sanz, J. Elso, I. Egaña.
Control del ángulo de cabeceo de un helicóptero como benchmark de diseño de controladores.
Revista Iberoamericana de Automática e Informática Industrial, 3 (2006), pp. 111-116
[García-Alvarado and Ruiz-López, 2010]
M. García-Alvarado, I. Ruiz-López.
A design method for robust and quadratic optimal mimo linear controllers.
Chemical Engineering Science, 65 (2010), pp. 3431-3438
[Hernández et al., 2013]
L.H. Hernández, J. Pestana, D.C. Palomeque, P. Campoy, J.L. Sanchez-Lopez.
Identificación y control en cascada mediante inversión de no linealidades del cuatrirrotor para el concurso de ingeniería de control cea ifac 2012.
Revista Iberoamericana de Automática e Informática Industrial RIAI, 10 (2013), pp. 356-367
[Huba, 2013]
M. Huba.
Performance measures, performance limits and optimal PI control for the IPDT plant.
Journal of Process Control, 23 (2013), pp. 500-515
[Ishibuchi et al., 2008]
Ishibuchi, H., Tsukamoto, N., Nojima, Y., 2008. Evolutionary many-objective optimization: A short review. En: Evolutionary Computation, 2008. CEC 2008. (IEEE World Congress on Computational Intelligence). IEEE Congress on.
[Juang et al., 2008a]
J.-G. Juang, M.-T. Huang, W.-K. Liu.
PID control using presearched genetic algorithms for a mimo system. Systems, Man, and Cybernetics, Part C: Applications and Reviews.
IEEE Transactions on, 38 (2008), pp. 716-727
[Juang et al., 2008b]
J.-G. Juang, R.-W. Lin, W.-K. Liu.
Comparison of classical control and intelligent control for a mimo system.
Appl. Math. Comput., 205 (2008), pp. 778-971
[Juang et al., 2011]
J.-G. Juang, W.-K. Liu, R.-W. Lin.
A hybrid intelligent controller for a twin rotor mimo system and its hardware implementation.
ISA Transactions, 50 (2011), pp. 609-619
[Liu et al., 2006]
C.-S. Liu, L.-R. Chen, B.-Z. Li, S.-K. Chen, Z.-S. Zeng.
Improvement of the twin rotor mimo system tracking and transient response using fuzzy control technology. En: Industrial Electronics and Applications.
1ST IEEE Conference on., (2006), pp. 1-6
[Lotov and Miettinen, 2008]
Lotov, A., Miettinen, K., 2008. Visualizing the Pareto frontier. In: Branke, J., Deb, K., Miettinen, K., Slowinski, R. (Eds.), Multiobjective Optimization. Vol. 5252 of Lecture Notes in Computer Science. Springer Berlin /Heidel-berg, pp. 213-243.
[Marler and Arora, 2004]
R. Marler, J. Arora.
Survey of multi-objective optimization methods for engineering.
Structural and Multidisciplinary Optimization, (2004), pp. 369-395
[Miettinen, 1998]
K.M. Miettinen.
Nonlinear multiobjective optimization.
Kluwer Academic Publishers, (1998),
[Nejjari et al., 2011]
F. Nejjari, D. Rotondo, V. Puig, M. Innocenti.
Lpv modelling and control of a twin rotor mimo system. Control Automation (MED).
19th Mediterranean Conference on, (2011), pp. 1082-1087
[Rahideh and Shaheed, 2009]
Rahideh, A., Shaheed, M., april 2009. Robust model predictive control of a twin rotor mimo system. En: Mechatronics, 2009. ICM 2009. IEEE International Conference on. pp. 1-6.
[Rahideh and Shaheed, 2012]
A. Rahideh, M. Shaheed.
Constrained output feedback model predictive control for nonlinear systems.
Control Engineering Practice, 20 (2012), pp. 431-443
[Rahideh et al., 2008]
A. Rahideh, M. Shaheed, H. Huijberts.
Stable adaptive model predictive control for nonlinear systems.
En: American Control Conference, (2008), pp. 1673-1678
[Reynoso-Meza et al., 2013]
G. Reynoso-Meza, S. Garcia-Nieto, J. Sanchis, F. Blasco.
Controller tuning by means of multi-objective optimization algorithms: A global tuning framework. Control Systems Technology.
IEEE Transactions on, 21 (2013), pp. 445-458
[Reynoso-Meza et al., 2014a]
Reynoso-Meza, G., Sanchis, J., Blasco, X., Herrero, J.M., August 2014a. A stabilizing PID controller sampling procedure for stochastic optimizers. En: Memories of the 19th World Congress IFAC 2014. pp. 8158-8163.
[Reynoso-Meza et al., 2014b]
G. Reynoso-Meza, J. Sanchis, X. Blasco, M. Martínez.
Controller tuning using evolutionary multi-objective optimisation: current trends and applications.
Control Engineering Practice, 28 (2014), pp. 58-73
[Reynoso-Meza et al., 2014c]
Reynoso-Meza, G., Sánchez, H.S., Blasco, X., Vilanova, R., August 2014c. Reliability based multiobjective optimization design procedure for PI controller tuning. En: Memories of the 19th World Congress IFAC 2014. pp. 10263-10268.
[Ruiz-López et al., 2006]
I. Ruiz-López, G. Rodríguez-Jimenes, M. García-Alvarado.
Robust MI-MO PID controllers tuning based on complex/real ratio of the characteristic matrix eigenvalues.
Chemical Engineering Science, 61 (2006), pp. 4332-4340
[Skogestad, 2003]
S. Skogestad.
Simple analytic rules for model reduction and PID controller tuning.
Journal of Process Control, 13 (2003), pp. 291-309
[Sánchez and Vilanova, 2013a]
Sánchez, H.S., Vilanova, R., 2013a. Multiobjective tuning of PI controller using the NNC method: Simplified problem definition and guidelines for decision making. En: Proceedings of the 18th. IEEE Conference on emerging technologies & factory automation (ETFA).
[Sánchez and Vilanova, 2013b]
Sánchez, H.S., Vilanova, R., 2013b. Nash-based criteria for selection of pareto optimal controller. En: Proceedings of the 17th. International Conference on System Theory, Control anmd Computing.
[Su et al., 2002]
J.-P. Su, C.-Y. Liang, H.-M. Chen.
Robust control of a class of nonlinear systems and its application to a twin rotor mimo system. En: Industrial Technology. IEEE ICIT ‘02.
2002 IEEE International Conference on, 2 (2002), pp. 1272-1277
[Tao et al., 2010a]
C. Tao, J. Taur, Y. Chen.
Design of a parallel distributed fuzzy lqr controller for the twin rotor multi-input multi-output system.
Fuzzy Set. Syst., 161 (2010), pp. 2081-2103
[Tao et al., 2010b]
C.-W. Tao, J.-S. Taur, Y.-H. Chang, C.-W. Chang.
A novel fuzzysliding and fuzzy-integral-sliding controller for the twin-rotor multi-inputmulti-output system.
Fuzzy Systems, IEEE Transactions on, 18 (2010), pp. 893-905
[Toha and Tokhi, 2009]
Toha, S., Tokhi, M., nov. 2009. Dynamic nonlinear inverse-model based control of a twin rotor system using adaptive neuro-fuzzy inference system. En: Computer Modeling and Simulation, 2009. EMS ‘09. Third UKSim European Symposium on. pp. 107-111.
[Vargas et al., 2011]
F.J. Vargas, M.E. Salgado, E.I. Silva.
Optimal ripple-free deadbeat control using an integral of time squared error (ITSE) index.
Automatica, 47 (2011), pp. 2134-2137
[Velasco et al., 2013]
Velasco, J., García-Nieto, S., Reynoso-Meza, G., Sanchis, J., 2013. Implementación de un sistema hardware-in-the-loop para la simulación en tiempo real de pilotos automáticos para uavs. En: de Automática, C.E. (Ed.), Memorias de las XXXIV Jornadas de Automática.
[Vilanova et al., 2012]
R. Vilanova, V. Alfaro, O. Arrieta.
Simple robust autotuning rules for 2-dof PI controllers.
ISA Transactions, 51 (2012), pp. 30-41
[Wen and Lu, 2008]
P. Wen, T.-W. Lu.
Decoupling control of a twin rotor mimo system using robust deadbeat control technique.
Control Theory Applications, IET, 2 (2008), pp. 999-1007
[Witczak et al., 2010]
Witczak, M., Puig, V., de Oca, S., oct. 2010. A fault-tolerant control scheme for non-linear discrete-time systems: Application to the twin-rotor system. En: Control and Fault-Tolerant Systems (SysTol), 2010 Conference on. pp. 861-866.
Copyright © 2014. EA
Opciones de artículo
Herramientas