Title :
Calculation of zero dynamics using the Ritt algorithm
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
Abstract :
This paper shows how differential algebra, in particular the Ritt algorithm, can be used to calculate zero dynamics of a polynomial system. We show that for affine polynomial SISO systems the Ritt algorithm gives a result which is equivalent to the ordinary zero dynamics. Furthermore it is shown how the algorithm can be used to calculate zero dynamics for more general affine systems. We also discuss zero dynamics of generalized state-space descriptions
Keywords :
differential equations; dynamics; nonlinear systems; poles and zeros; polynomial matrices; state-space methods; Ritt algorithm; affine systems; differential algebra; nonlinear systems; polynomial SISO system; state-space; zero dynamics; Algebra; Differential equations; Heuristic algorithms; Nonlinear dynamical systems; Nonlinear equations; Nonlinear systems; Polynomials; Zirconium;
Conference_Titel :
Decision and Control, 1994., Proceedings of the 33rd IEEE Conference on
Conference_Location :
Lake Buena Vista, FL
Print_ISBN :
0-7803-1968-0
DOI :
10.1109/CDC.1994.411644
