Open AccessH ∞ filtering for switched linear parameter‐varying systems and its application to aero‐engines
Author(s) -
Zhu Kongwei,
Zhao Jun,
Liu Yanyan
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.2016.0438
Subject(s) - control theory (sociology) , lyapunov function , state (computer science) , filter (signal processing) , function (biology) , stability (learning theory) , matrix (chemical analysis) , linear system , computer science , mathematics , algorithm , control (management) , nonlinear system , artificial intelligence , physics , mathematical analysis , materials science , quantum mechanics , evolutionary biology , machine learning , composite material , computer vision , biology
This study deals with the H ∞ filtering problem for switched linear parameter‐varying (LPV) systems using the multiple parameter‐dependent Lyapunov function technique. The parameter and mode‐dependent switching law and the filter state‐relied controllers are designed to ensure the H ∞ performance without requiring the stability of each individual subsystem. An H ∞ filtering synthesis condition is obtained by a matrix optimisation iterating algorithm. Simulation result on a switched LPV aero‐engine model shows the feasibility and the validity of the H ∞ filtering scheme.