Open AccessWeighted L 2 gain performance controller parameterisation of linear switching plants with average dwell time
Author(s) -
Xie Wei,
Wu Weilin,
He Wei,
Zhang Langwen
Publication year - 2019
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.2018.5825
Subject(s) - dwell time , control theory (sociology) , controller (irrigation) , mathematics , computer science , control (management) , artificial intelligence , clinical psychology , biology , medicine , agronomy
This study addresses the problem of weighted L 2 performance controller parameterisation for a plant switching among a finite family of given configurations. It is assumed that switching is a piecewise constant function of time and obeys an average dwell time switching logic. With a multiple Lyapunov functions‐based technique, a dynamical switching output‐feedback controller is solved with Riccati inequalities or linear matrix inequalities formulation. Furthermore, based on the controller construction, there exists a controller parameterisation, which guarantees that the closed‐loop switching linear system with the average dwell time switching scheme achieves certain weighted L 2 controlled performance.