On controllability and observability of linear systems: multiple eigenvalue case

• Autorzy: Yaici M. , Belmehdi A.
• Języki publikacji: EN

Abstrakty

EN

This paper presents a method to verify the controllability and observability of linear multivariable systems with multiple modes using eigenprojectors or constituent matrices. Eigenprojectors are obtained by the partial fraction expansion of the numerator of the transfer function matrix of the system and the constituent matrices are obtained from the spectral decomposition of the state matrix. Eigenprojectors inform on the properties of the corresponding mode separately from the others, so controllability and observability of each mode are checked. A previous paper has dealt with linear systems with single eigenvalues, and the same method gave good results. Numerical examples are given to illustrate this method.

Słowa kluczowe

EN

multivariable systems; linear system controllability; linear systems; eigenvalues and eigenfunctions; transfer function matrix

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Systems Science
• Rocznik: 2004
• Tom: Vol. 30, no 2
• Strony: 11--20
• Opis fizyczny: Bibliogr. 6 poz.

Twórcy

autor

Yaici M.

• Departement d'Informatique, Universite de Bejaia, Algerie

autor

Belmehdi A.

• Departement d'Electronique, Universite de Bejaia, Algerie

Bibliografia

• [1] Bellman R., Introduction to Matrix Analysis, McGraw-Hill Book Company, N. Y. 1970.
• [2] Chatelin F., Valeurs propres de matrices. Editions Masson, Paris 1988.
• [3] Chen C.T., Linear System Theory and Design, Holt, Rinehart and Winston, N.Y. 1984.
• [4] Kalman R.E., Mathematical description of linear dynamical systems, SIAM J. Control, Vol. 1. 1963, 52-192.
• [5] Rachid A., Mehdi D., Réalisation, Réduction et Commande des Systèmes Linéaires, Editions TECHNIP, Paris 1997.
• [6] Yaici M., Belmehdi A., On Controllability and Observability of Linear Systems, ICSE2003 Proceedings, Coventry, UK, Vol. 2, 2003, 785-789.