A new problem of decreasing the degree of the closed-loop characteristic polynomial of the 2D Roesser model by a suitable choice of state feedbacks is formulated. Sufficient conditions are established under which it is possible to choose state feedbacks such that the non-zero closed-loop characteristic polynomial has degree zero. A procedure for computation of the feedback gain matrices is presented and illustrated by a numerical example.
Faculty of Electrical Engineering, Warsaw University of Technology, Institute of Control and Industrial Electronics, ul. Koszykowa 75, 00-662 Warsaw, Poland
Bibliografia
Dai L. (1988): Observers for discrete singular systems. - IEEE Trans. Automat. Contr., Vol. AC-33, No. 2, pp. 187-191.
Dai L. (1989): Singular Control Systems. - Berlin, Tokyo: Springer.
Fornasini E. and Marchesini G. (1976): State space realization of two-dimensional filters. - IEEE Trans. Automat. Contr., Vol. AC-21, No. 4, pp. 484-491.
Fornasini E. and Marchesini G. (1978): Doubly indexed dynamical systems: State space models and structural properties. - Math. Syst. Theory, Vol. 12.
Kaczorek T. (1988): Singular general model of 2D systems and its solution. - IEEE Trans. Automat. Contr., Vol. AC-33, No. 11, pp. 1060-1061.
Kaczorek T. (1993): Linear Control Systems, Vol. 1 and 2. - New York: Wiley.
Kaczorek T. (2001): Perfect observers for singular 2D linear systems. - Bull. Pol. Acad. Techn. Sci., Vol. 49, No. 1, pp. 141-147.
Kurek J. (1985): The general state-space model for two-dimensional linear digital system. - IEEE Trans. Autom. Contr., Vol. AC-30, No. 6,pp. 600-602.
Roesser P. R. (1975): A discrete state-space model for linear image processing. - IEEE Trans. Automat. Contr., Vol. AC-20, No. 1, pp. 1-10.