Robust stability test for 2-D continuous-discrete systems with interval parameters

被引：0
|
作者：
Xiao Yang Institute of Information Science
机构：
来源：
JournalofSystemsEngineeringandElectronics | 2004年 / 03期
基金：
中国国家自然科学基金;
关键词：
2-D continuous-discrete systems; 2-D Laplace-Z transformation; interval parameters; bivariate polynomials family; Hurwitz-Schur stability;
D O I：
暂无
中图分类号：
TP11 [自动化系统理论];
学科分类号：
摘要：
It is revealed that the dynamic stability of 2-D recursive continuous-discrete systems with interval parameters involves the problem of robust Hurwitz-Schur stability of bivariate polynomials family. 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. The 2-D hybrid transformation, i. e. 2-D Laplace-Z transformation, has been proposed to solve the stability analysis of the 2-D continuous-discrete systems, to get 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.
引用
收藏
页码：337 / 343
页数：7
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