Volume 12, Issue 2 (Journal of Control, V.12, N.2 Summer 2018)
JoC 2018, 12(2): 41-51 |
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Faraji-Niri M, Jahed Motlagh M R. Asynchronous Stochastic Controller Design for a Class of Markov Jump Linear Systems. JoC 2018; 12 (2) :41-51
URL: http://joc.kntu.ac.ir/article-1-426-en.html
URL: http://joc.kntu.ac.ir/article-1-426-en.html
1- Pooyesh Institiute of Higher Education
2- Iran University of Science and Technology
2- Iran University of Science and Technology
Abstract: (6673 Views)
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.
Keywords: Asynchronous Control, Linear Matrix Inequality, Markov Jump Linear System, Stochastic Control.
Type of Article: Research paper |
Subject:
Special
Received: 2016/12/6 | Accepted: 2018/01/3 | Published: 2018/10/3
Received: 2016/12/6 | Accepted: 2018/01/3 | Published: 2018/10/3
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