Title :
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
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;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2013.2246491
