Title :
Robust stability test for 2-D continuous-discrete systems with interval parameters
Author_Institution :
Inst. of Inf. Sci., Northern Jiaotong Univ., Beijing, China
Abstract :
It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of Hurwitz-Schur stability of bivariate polynomials. It is proved that the Hurwitz-Schur stability of the denominator polynomials of the systems is necessary and sufficient for the asymptotic stability of the 2-D hybrid systems. A 2-D hybrid transformation, i.e. 2-D Laplace-Z transform, has been proposed to the stability analysis of the 2-D hybrid transfer functions of the systems. The edge test for the Hurwitz-Schur stability of interval bivariate polynomials is introduced. The Hurwitz-Schur stability of the interval family of 2-D polynomials can be guaranteed by the stability of its finite edge polynomials of the family. An algorithm about the stability test of edge polynomials is given.
Keywords :
Laplace transforms; asymptotic stability; continuous time systems; discrete systems; multidimensional systems; polynomials; robust control; state feedback; 2D continuous discrete systems; 2D continuous-discrete systems; 2D hybrid systems; 2D hybrid transfer function; 2D hybrid transformation; Hurwitz-Schur stability; Laplace-Z transform; asymptotic stability; bivariate polynomials; denominator polynomials; finite edge polynomials; interval parameters; robust stability test; stability analysis; Asymptotic stability; Polynomials; Robust stability; Signal processing; Stability analysis; Sufficient conditions; System testing; Transfer functions; Two dimensional displays; Upper bound;
Conference_Titel :
American Control Conference, 2003. Proceedings of the 2003
Print_ISBN :
0-7803-7896-2
DOI :
10.1109/ACC.2003.1240466
