Ingeniare. Revista chilena de ingeniería, vol. 14 N^o 3, 2006, pp. 276-283

STRUCTURALLY CONSTRAINED ROBUST OPTIMAL CONTROL

CONTROL ÓPTIMO ROBUSTO CON RESTRICCIONES ESTRUCTURALES

Héctor Peña M.¹   Sergio Mora C.¹

1 Escuela de Ingeniería Eléctrica, Pontificia Universidad Católica de Valparaíso, Valparaíso-Chile. hpena@ucv.cl

RESUMEN

Se presenta una solución al problema del control óptimo robusto, sujeto a una ley de control con restricciones de realimentación local de estados. Se muestran los resultados obtenidos por simulación, como medio de validar la propuesta, para incertezas en la matriz de planta del tipo ajustadas y no ajustadas.

Palabras clave: Control óptimo, robustez, restricciones estructurales, incertezas, realimentación.

ABSTRACT

A solution to the robust optimal control problem, subject to local states constraints in the feedback law, is presented. Examples with matched and unmatched uncertainty in the system matrix are presented. Results obtained through simulation are shown as a means of validating the proposal.

Keywords: Optimal control, robustness, structural constraints, uncertainties, feedback.

ACKNOWLEDGMENTS

The authors acknowledge the support given by Universidad Católica de Valparaíso (Valparaíso, Chile), through grants for projects #204.704/2004 and #204.708/2005.

REFERENCES

[1] F.Lin. "Robust Control Design: An Optimal Control Approach". AFI Press. 1997.

[2] H.E. Peña. "Power System Stabilizer Design via Structurally Constrained Optimal Control". Electric Power System Research. 33, pp. 33-40. 1995.

[3] J.C. Geromel. "Methods and Techniques for Decentralized Control Systems: Analysis and Design". Ed CLUP, Milano, Italy. 1987.

[4] A. Fischman, A.S. Bazanella and A.S.E. Silva. "Robust Decentralized Control Applied to Power System Stabilizer Design". IFAC Symposium on Robust Control Design. Río de Janeiro, Brasil. Section TM-B. Sept 1994.

[5] A.S. Bazanella and C.C. Paim. "Robust Design of Damping Controllers in Power Systems". IEEE Power Tech'99 Conference. Budapest, Hungary. Paper BPT99-312-12. August 29-September 2, 1999.

[6] D. Rerkpreedapong, A. Hasanovic and A. Feliachi. "Robust Load Frequency Control Using Genetic Algorithms and Linear Matrix Inequalities". IEEE Transactions on Power Systems. Vol. 18 N^o2, pp. 855-861. Mayo 2003.

[7] S.G. Wang, H.Y. Yeh and N. Roschke. "Robust Control for Structural Systems with Parametric and Unstructured Uncertainties". Proceedings of the American Control Conference. Arlington, VA, pp. 1109-1114. Junio 25-27, 2001.

Recibido el 17 de marzo de 2006, aceptado el 23 de octubre de 2006