Title :
Elementary operation approach to state-space realizations of 2-D systems
Author :
Galkowski, Krzysztof
Author_Institution :
Dept. of Robotics & Software Eng., Tech. Univ. of Zielona Gora, Poland
fDate :
2/1/1997 12:00:00 AM
Abstract :
In this paper, the method for obtaining various state-space realizations of the Roesser type for an assigned two-variable transfer function is developed. Two-variable elementary polynomial operations are employed. A new version of the general, state-space model is constructed. One also throws some new light on the problem of the mutual connections among the different 2-D state-space models such as the Roesser, the Fornasini-Marchesini, and the general one. Singular as well as standard (nonsingular) models are considered
Keywords :
multidimensional systems; multivariable control systems; polynomials; state-space methods; transfer functions; 2D systems; Roesser type; assigned two-variable transfer function; elementary operation approach; elementary polynomial operations; mutual connections; nonsingular models; singular models; state-space realizations; Circuits and systems; Concrete; Displays; Linear systems; MIMO; Polynomials; Robots; State estimation; State-space methods; Transfer functions;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
