Disturbance Rejection Using SPR0 Substitutions
Julio César Tovar Rodríguez1, Ricardo Carreño Aguilera2 and Miguel Patiño Ortiz2
1 ESIME Zacatenco, Departamento Control ICE, Instituto Politécnico Nacional, DF, México. jctovar77@hotmail.com.
2 ESIME Zacatenco, SEPI, Instituto Politécnico Nacional, DF, México. rcrc2013@outlook.com, mpatino2002@ipn.com.
Corresponding author is Julio César Tovar Rodríguez.
]]>Article received on 10/06/2014.
Accepted on 17/12/2014.
Abstract
The disturbance rejection, defined as the problem of designing control laws that ensure, where possible, exogenous disturbances that do not affect the output of the perturbed system, has been resolved by means of algebraic and geometric techniques. This is a steady linear case by means of the static feedback state. Modifications of the Smith form through the SPR0 substitutions are presented which guarantees infinite zeros of a linear single input, single output (SISO) system.
Keywords: Algebraic technique, geometric technique, SPR0 perturbation, SISO.
DESCARGAR ARTÍCULO EN FORMATO PDF
]]> References
1. Wonham, W.M. (1985). Linear Multivariable Control. A Geometric Approach. Springer-Verlag. [ Links ]
2. Goodwin, G.C. & Sink, K.S. Adaptive Filtering, Prediction and Control. Englewood Clifis, NJ, Prentice-Hall. [ Links ]
3. Narenda, K.S. & Taylor, J.H. (1973). Frequency Domain Criteria for Absolute Stability. New York, Academic Press. [ Links ]
4. Tovar, J.C. (2004). SPR0 substitutions in the disturbance rejection. Master Thesis, CINVESTAV-IPN, 55 p. [ Links ]
5. Martinez-García, J.C., Malabre, M., & Dion, J.M. (1999). Commault, Condensed Structural Solutions to the Disturbance Rejection and Decoupling Problems with Stability. International Journal of Control, Vol. 72, No. 15, pp. 1392-1401. DOI:10.1080/002071799220191. [ Links ]
6. Martínez-García, J.C. & Malabre, M. (1995). Simultaneous Rejection and Regular Row by Row Decoupling with Stability: A Geometric Approach. IEEE Transaction on Automatic Control, Vol. 40, No. 2, pp. 365-369. DOI:10.1109/9.341812. [ Links ]
7. Martínez, J.C. (1994). Contribution a l'Étude des Propiétés Structurelles des Systemes Linéaires en veu de leur commande. Thése de Doctorat, 14 Université de Nantes, pp. 26-31. [ Links ]
8. Vidyasagar, M., (1985). Control System Synthesis: A Factorization Approach. MIT Press, Cambrige, Massachusetts, USA. [ Links ]
9. Morse, A.S. (1973). Structural Invariants of Linear Multivariable Systems. SIAM J. of Control and Optimization, Vol. 24, No. 1, pp. 446-465. DOI:10.1137/0311037. [ Links ]
10. Fernández-Anaya, Guillermo, Martínez-García, J.C., Kucera, V., & Aguilar George, D. (2003). MIMO Systems Properties Preservation under SPR0 Substitutions. IEEE Transactions on Circuits and Systems. DOI:10.1109/TCSII.2004.824050. [ Links ]
11. Fernandez, G. (1999). Preservation of SPR functions and Stabilization by Substitutions in SISO plants. IEEE Transactions on Automatic Control, Vol. 44, pp. 2171-2172. DOI:10.1109/9.802939. [ Links ]
]]>