Aplicación de la ley de conmutación restringida para el control de sistemas lineales conmutados
Palabras clave:
sistemas lineales conmutados, ley de conmutación restringida, función de Lyapunov cuadrática, desigualdad de matriz lineal.Resumen
Se puede emplear una clase especial de sistemas lineales conmutados con ley de conmutación restringida a entrada de estado lógico para modelar una amplia gama de sistemas diferentes. El presente documento presenta un nuevo método de análisis de estabilidad y diseño de controlador para esta clase de sistemas híbridos. Los métodos propuestos se basan en la función cuadrática de Lyapunov. El análisis de estabilidad y el diseño de estos sistemas han dado como resultado la solución de un problema de optimización convexo de tipo de desigualdad de matriz lineal. Los resultados de la simulación en el convertidor dc-dc buck confirman la efectividad del método propuesto.
Descargas
Los datos de descargas todavía no están disponibles.
Citas
Beccuti, A., Mariethoz, S., Cliquennois, S., Wang, S., Morari, M. (2009). “Explicit model predictive control of DC-DC switched mode power supplies with extended Kalman filtering” IEEE Trans. Ind. Electron., Vol. 56, No. 3, pp. 1864–1874.
Bemporad, A., Borrelli, F., Morari, M. (2002). “Model predictive control based on linear programming—The explicit solution,” IEEE Trans. Autom. Control, Vol. 47, pp. 1974–1985.
Bemporad, A., Morari, M. (1999). “Control of systems integrating logic, dynamics, and constraints,” Automatica, Vol. 35, No. 3, pp. 407– 427.
Boyd, S., Ghaoui, L.E., Feron, E., Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory, Philadelphia, The SIAM press.
Ge, S.S., Sun, Z. (2008). “Switched Controllability via Bumpless Transfer Input and Constrained Switching,” IEEE Trans. On Automatic Control, Vol. 53, No. 7.
Greco, L. (2005). “Stability and Stabilization Issues in Switched Systems,” PHD thesis, Bioingegneria, Robotica e Sistemi di Automazione Industriale - Ciclo XVII.
Hejri, M., Mokhtari, H. (2009). “Global hybrid modeling and control of a buck converter: A novel concept,” International Journal of Circuit Theory and Applications, Vol 37, pp 968–986.
Hejri, M., Mokhtari, H. (2010). “Hybrid predictive control of a DC–DC boost converter in both continuous and discontinuous current modes of operation,” Optimal Control Applications and Methods.
Johansson, M. (2002). Piecewise Linear Control Systems-A Computational Approach, New York: Springer-Verla, Vol, 284.
Lin, H., Panos, J. (2009). Antsaklis, “Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results,” IEEE Trans. Automatic Control, Vol. 54, No. 2.
Pettersson, S., Lennartson, B. (2001). “Stabilization of hybrid systems using a min projection strategy,” in Proc. Amer. Control Conf, pp. 223– 228.
Pettersson, S., Lennartson, B. (2002). “Hybrid system stability and robustness verification using linear matrix inequalities,” Inter. J. Control, Vol. 75,N. 16-17, pp. 1335–1355.
Rantzer, A., Johansson, M. (2000). “Piecewise linear quadratic optimal control,” IEEE Trans. Automat Control, Vol. 45, No. 4, pp. 629–637.
Rodrigues, L. (2002). "Dynamic Output Feedback Controller Synthesis for Piecewise Affine Systems," PhD Thesis, Stanford university.
Rodrigues, L., How, J.P. (2003). “Observer-based control of piecewise-affine systems,” Internat. J. Control, Vol. 76, pp. 459–477.
Sen, M., A. Ibeas, A.(2008) “Stability Results for Switched Linear Systems with Constant Discrete Delays,” Mathematical Problems in Engineering, vol. 2008.
Shorten, R., Wirth, F., Mason, O., Wulff, K., King, K. (2007). “Stability Criteria for Switched and Hybrid Systems,” SIAM REVIEW, Vol. 49, No. 4, pp. 545–592.
Sulistyaningsih, D., & Aziz, A. (2018). Development of Learning Design for Mathematics Manipulatives Learning based on E-learning and Character Building. International Electronic Journal of Mathematics Education, 14(1), 197-205.
Sun, Z., Shuzhi S.G. (2004). Switched Linear Systems: Control and Design, Springer-Verlag Publication.
Uhlig, F. (1979). “A recurring theorem about pairs of quadratic forms and extensions: A survey,” Linear Algebra and Applications, Vol. 25, pp 219-237.
Yakubovich, V.A. (1977). “The S procedure in non-linear control theory,” Vestnik Leningrad Univ. Math, Vol. 4, pp 73-93.
Bemporad, A., Borrelli, F., Morari, M. (2002). “Model predictive control based on linear programming—The explicit solution,” IEEE Trans. Autom. Control, Vol. 47, pp. 1974–1985.
Bemporad, A., Morari, M. (1999). “Control of systems integrating logic, dynamics, and constraints,” Automatica, Vol. 35, No. 3, pp. 407– 427.
Boyd, S., Ghaoui, L.E., Feron, E., Balakrishnan, V. (1994). Linear Matrix Inequalities in System and Control Theory, Philadelphia, The SIAM press.
Ge, S.S., Sun, Z. (2008). “Switched Controllability via Bumpless Transfer Input and Constrained Switching,” IEEE Trans. On Automatic Control, Vol. 53, No. 7.
Greco, L. (2005). “Stability and Stabilization Issues in Switched Systems,” PHD thesis, Bioingegneria, Robotica e Sistemi di Automazione Industriale - Ciclo XVII.
Hejri, M., Mokhtari, H. (2009). “Global hybrid modeling and control of a buck converter: A novel concept,” International Journal of Circuit Theory and Applications, Vol 37, pp 968–986.
Hejri, M., Mokhtari, H. (2010). “Hybrid predictive control of a DC–DC boost converter in both continuous and discontinuous current modes of operation,” Optimal Control Applications and Methods.
Johansson, M. (2002). Piecewise Linear Control Systems-A Computational Approach, New York: Springer-Verla, Vol, 284.
Lin, H., Panos, J. (2009). Antsaklis, “Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results,” IEEE Trans. Automatic Control, Vol. 54, No. 2.
Pettersson, S., Lennartson, B. (2001). “Stabilization of hybrid systems using a min projection strategy,” in Proc. Amer. Control Conf, pp. 223– 228.
Pettersson, S., Lennartson, B. (2002). “Hybrid system stability and robustness verification using linear matrix inequalities,” Inter. J. Control, Vol. 75,N. 16-17, pp. 1335–1355.
Rantzer, A., Johansson, M. (2000). “Piecewise linear quadratic optimal control,” IEEE Trans. Automat Control, Vol. 45, No. 4, pp. 629–637.
Rodrigues, L. (2002). "Dynamic Output Feedback Controller Synthesis for Piecewise Affine Systems," PhD Thesis, Stanford university.
Rodrigues, L., How, J.P. (2003). “Observer-based control of piecewise-affine systems,” Internat. J. Control, Vol. 76, pp. 459–477.
Sen, M., A. Ibeas, A.(2008) “Stability Results for Switched Linear Systems with Constant Discrete Delays,” Mathematical Problems in Engineering, vol. 2008.
Shorten, R., Wirth, F., Mason, O., Wulff, K., King, K. (2007). “Stability Criteria for Switched and Hybrid Systems,” SIAM REVIEW, Vol. 49, No. 4, pp. 545–592.
Sulistyaningsih, D., & Aziz, A. (2018). Development of Learning Design for Mathematics Manipulatives Learning based on E-learning and Character Building. International Electronic Journal of Mathematics Education, 14(1), 197-205.
Sun, Z., Shuzhi S.G. (2004). Switched Linear Systems: Control and Design, Springer-Verlag Publication.
Uhlig, F. (1979). “A recurring theorem about pairs of quadratic forms and extensions: A survey,” Linear Algebra and Applications, Vol. 25, pp 219-237.
Yakubovich, V.A. (1977). “The S procedure in non-linear control theory,” Vestnik Leningrad Univ. Math, Vol. 4, pp 73-93.
Descargas
Publicado
2018-08-30
Cómo citar
Kashisaz, S., & Manna, M. (2018). Aplicación de la ley de conmutación restringida para el control de sistemas lineales conmutados. Amazonia Investiga, 7(15), 367–385. Recuperado a partir de https://amazoniainvestiga.info/index.php/amazonia/article/view/468
Número
Sección
Articles
.gif)
