Open AccessOutput feedback control for singular Markovian jump systems with uncertain transition rates
Author(s) -
Chen Jian,
Lin Chong,
Chen Bing,
Wang QingGuo
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.2016.0548
Subject(s) - control theory (sociology) , mathematics , output feedback , jump , controller (irrigation) , transition rate matrix , bilinear interpolation , markov process , control (management) , computer science , statistics , physics , quantum mechanics , artificial intelligence , agronomy , biology
The static output feedback stabilisation problems for singular Markovian jump system are studied. Transition rates are assumed to be generally uncertain, namely, they could be unknown or only their estimate values are known. A criterion on the existence of an output feedback controller is established in terms of bilinear matrix inequalities (BMIs) to guarantee the closed‐loop systems are stochastically admissible. To solve the BMIs in the criteria, the other criterion is presented by using a less conservative linearisation method, and an algorithm is proposed to solve the related conditions. Finally, three numerical examples are given to show the effectiveness of their methods.