Open AccessRobust stability analysis based on finite impulse response scaling for discrete‐time linear time‐invariant systems
Author(s) -
Hosoe Yohei,
Hagiwara Tomomichi
Publication year - 2013
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0053
Subject(s) - control theory (sociology) , lti system theory , scaling , linear system , impulse response , mathematics , discrete time and continuous time , impulse (physics) , computer science , physics , mathematical analysis , artificial intelligence , control (management) , classical mechanics , geometry , statistics
In this study, we discuss a dynamic scaling approach exploiting the separator‐type robust stability condition for discrete‐time linear time‐invariant systems. We confine ourselves to a class of what we call finite impulse response (FIR) separators, and establish a systematic and practical framework of searching for an FIR separator satisfying the separator‐type condition. The first step is to give explicit structure of FIR separators suitable for dealing with a given set of structured uncertainties. The second step is to give an explicit linear matrix inequality condition for the analysis. In particular, a minimal realisation of an augmented system to be dealt with in FIR scaling is derived, which is non‐trivial and is very important in reducing the computational load in the numerical computation. Effectiveness of the developed framework is demonstrated numerically, through comparison with the conventional static scaling and μ ‐analysis.