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Computation of realizations composed of dynamic and static parts of improper transfer matrices

Kaczorek T.

International Journal of Applied Mathematics and Computer Science

2007

Vol. 17, no 1

23-25

The problem of computing minimal realizations of a singular system decomposed into a standard dynamical system and a static system of a given improper transfer matrix is formulated and solved. A new notion of the minimal dynamical-static realization is introduced. It is shown that there always exists a minimal dynamical-static realization of a given improper transfer matrix. A procedure for the computation of a minimal dynamical-static realization for a given improper transfer matrix is proposed and illustrated by a numerical example.

Minimal order deadbeat functional observers for singular 2D linear systems

Kaczorek T.

Control and Cybernetics

2003

Vol. 32, no 2

301-311

Sufficient conditions for the existence of minimal order deadbeat functional observers for singular 2D linear systems described by the general singular 2D model are established. A procedure for computing matrices of the functional observers is given and illustrated by numerical example.