Document Type
Article
Publication Date
8-2016
Publication Title
Automatica
Department
Mechanical & Industrial Engineering
Abstract
This paper studies strong delay-independent stability of linear time-invariant systems. It is known that delay-independent stability of time-delay systems is equivalent to some frequency-dependent linear matrix inequalities. To reduce or eliminate conservatism of stability criteria, the frequency domain is discretized into several sub-intervals, and piecewise constant Lyapunov matrices are employed to analyze the frequency-dependent stability condition. Applying the generalized Kalman–Yakubovich–Popov lemma, new necessary and sufficient criteria are then obtained for strong delay-independent stability of systems with a single delay. The effectiveness of the proposed method is illustrated by a numerical example.
Recommended Citation
Li, Xianwei; Gao, Huijun; and Gu, Keqin, "Delay-Independent Stability Analysis of Linear Time-Delay Systems Based on Frequency" (2016). SIUE Faculty Research, Scholarship, and Creative Activity. 46.
https://spark.siue.edu/siue_fac/46
Included in
Acoustics, Dynamics, and Controls Commons, Controls and Control Theory Commons, Control Theory Commons, Process Control and Systems Commons
Comments
This is the Preprint version of an article published by Elsevier in Automatica, available online at http://dx.doi.org/10.1016/j.automatica.2015.12.031. © 2016.