On Stability of Systems With Aperiodic Sampling Devices

Author

Chung-Yao Kao ; Fujioka, Hiroyuki

Author_Institution

Dept. of Electr. Eng., Nat. Sun Yat-Sen Univ., Kaohsiung, Taiwan

Volume

58

Issue

8

fYear

2013

fDate

Aug. 2013

Firstpage

2085

Lastpage

2090

Abstract

This technical note is concerned with stability analysis of aperiodic sampled-data systems. The stability problem is tackled from a pure discrete-time point of view, where the at-sampling behavior of the system is modelled as the response of a nominal discrete-time LTI system in feedback interconnection with a structured uncertainty. Conditions under which the uncertainty is positive real (PR) are identified. Based on the PR property, a number of integral quadratic constraints (IQC) are derived and the IQC theory is applied to derive stability conditions. Numerical examples are given to illustrate the effectiveness of the proposed approach.

Keywords

discrete time systems; feedback; identification; sampled data systems; stability criteria; uncertain systems; IQC theory; PR uncertainty condition identification; aperiodic sampled data system stability; aperiodic sampling devices; feedback interconnection; integral quadratic constraints; nominal discrete time LTI system; positive real uncertainty condition identification; stability analysis; stability conditions; structured uncertainty; Eigenvalues and eigenfunctions; Linear matrix inequalities; Numerical stability; Power system stability; Robust stability; Stability analysis; Uncertainty; Nonuniform sampling; sampled-data systems; stability;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/TAC.2013.2246491

Filename

6459535