Open AccessDynamic output‐feedback stabilisation for Markovian jump systems with incomplete transition description and input quantisation: linear matrix inequality approach
Author(s) -
Kwon Nam Kyu,
Park Chaneun,
Park PooGyeon
Publication year - 2017
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.2017.0316
Subject(s) - control theory (sociology) , output feedback , controller (irrigation) , jump , feedback controller , markov process , linear matrix inequality , transition rate matrix , mathematics , feedback control , state transition matrix , matrix (chemical analysis) , computer science , control (management) , symmetric matrix , mathematical optimization , control engineering , engineering , physics , statistics , eigenvalues and eigenvectors , materials science , quantum mechanics , artificial intelligence , agronomy , composite material , biology
In this study, a dynamic output‐feedback stabilisation problem for Markovian jump systems (MJSs) with incomplete transition description and input quantisation is investigated. While the previous researches about output‐feedback stabilisation for MJSs assumed that the transition rates are completely known, a more general situation where the transition rates are partly unknown is considered. Moreover, the proposed controller includes non‐linear control part to eliminate the effect of input quantisation. Two numerical examples are provided to demonstrate the feasibility of the proposed dynamic output‐feedback controller.