Generalized Nyquist criterion of continuous-time periodic systems and its implementation (II): numerical computations and convergence

Author

Zhou, Jun ; Hagiwara, Tomomichi

Author_Institution

Dept. of Electr. Eng., Kyoto Univ., Japan

Volume

3

fYear

2002

fDate

5-7 Aug. 2002

Firstpage

1706

Abstract

For Part I see ibid. p.1700 (2002). In this second part, we consider the numerical implementation problem of the generalized Nyquist stability criterion described in Part I, derived by means of the 2-regularized determinants about the harmonic return difference operators of finite-dimensional linear continuous-time periodic systems. Numerical implementation of this generalized Nyquist criterion is developed through the staircase truncation on the harmonic return difference operator. To illustrate the results of the second part, the asymptotic stability of the lossy Mathieu differential equation is investigated.

Keywords

Nyquist criterion; asymptotic stability; continuous time systems; convergence; differential equations; multidimensional systems; time-varying systems; Mathieu differential equation; Nyquist criterion; asymptotic stability; continuous-time systems; finite-dimensional systems; harmonic return difference operator; linear systems; periodic systems; stability criterion; staircase truncation; Asymptotic stability; Convergence of numerical methods; Differential equations; Output feedback; Stability analysis; Stability criteria;

fLanguage

English

Publisher

ieee

Conference_Titel

SICE 2002. Proceedings of the 41st SICE Annual Conference

Print_ISBN

0-7803-7631-5

Type

conf

DOI

10.1109/SICE.2002.1196573

Filename

1196573