%0 Journal Article
%A Faraji-Niri, Mona
%A Jahed Motlagh, Mohammad Reza
%T Asynchronous Stochastic Controller Design for a Class of Markov Jump Linear Systems
%J Journal of Control
%V 12
%N 2
%U http://joc.kntu.ac.ir/article-1-426-en.html
%R 10.29252/joc.12.2.41
%D 2018
%K Asynchronous Control, Linear Matrix Inequality, Markov Jump Linear System, Stochastic Control.,
%X This paper investigates asynchronous controller design problem for a class of continuous-time Markov jump linear systems. The mentioed asynchronous phenomenon is a case in which the system and the controller Markov chainsare not matched, however they are relevant according to certain probabilities. This phenomenon describes a realistic and practical situation which arises as a result of inaccurate observation of the system’s Markov chain. The proposed design scheme considers the closed-loop system as a unified Markov jump linear system and utulizes the multiple Lyapunov function approach. By this approach, firstly, the stabilizability of the closed-loop system is ensured and then the asynchronous state-feedback controller is synthesizesed. The designed controller is formulated in terms of linear matrix inequalities; which are easy to check. A numerical example illustrates the usefulness of the developed method.
%> http://joc.kntu.ac.ir/article-1-426-en.pdf
%P 41-51
%& 41
%!
%9 Research paper
%L A-10-533-1
%+ Pooyesh Institiute of Higher Education
%G eng
%@ 2008-8345
%[ 2018