Open AccessDecentralised output‐feedback controller syntheses with restricted frequency‐domain specifications via generalised Kalman–Yakubovich–Popov lemma: a unified approach
Author(s) -
Chou YungShan,
Chang YunLun
Publication year - 2015
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.2014.0844
Subject(s) - control theory (sociology) , controller (irrigation) , frequency domain , lemma (botany) , mathematics , diagonal , kalman filter , transfer function , computer science , control (management) , engineering , mathematical analysis , ecology , statistics , geometry , poaceae , electrical engineering , artificial intelligence , agronomy , biology
This study is concerned with output‐feedback H‐infinity controller synthesis in finite frequency domain for continuous‐time multi‐channel linear systems. The recently developed results of full‐order centralised H‐infinity control theory in this field are extended to the subject of decentralised control. Both the block‐diagonal reduced‐order dynamic and static controller designs are discussed in a unified manner. Sufficient solvability conditions are given in terms of linear‐matrix‐inequalities. A numerical example is provided that establishes the efficacy of the proposed controller syntheses.