Open AccessH ∞ performance realisation and switching controller design for linear time‐invariant plant
Author(s) -
Xie Wei
Publication year - 2016
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.2014.1029
Subject(s) - control theory (sociology) , lti system theory , realisation , controller (irrigation) , linear system , closed loop , state space , control engineering , mathematics , computer science , engineering , control (management) , physics , artificial intelligence , mathematical analysis , agronomy , statistics , quantum mechanics , biology
This study focuses on the design of a switching controller, which includes several linear time‐invariant (LTI) controllers designed beforehand and independently, for a specific LTI plant. All of these LTI controllers are capable of stabilising the plant with corresponding H ∞ control performance criterions. It is shown that there exist suitable state space realisations of these controller transfer matrices that guarantee not only certain H ∞ control performance of the overall closed‐loop system under arbitrary switching but also corresponding H ∞ performances of local closed‐loop systems at switching points.