Passivity-Based Asynchronous Control for Markov Jump Systems

The issue of asynchronous passive control is addressed for Markov jump systems in this technical note. The asynchronization phenomenon appears between the system modes and controller modes, which is described by a hidden Markov model. Accordingly, a hidden Markov jump model is used to name the resul...

Full description

Saved in:
Bibliographic Details
Published inIEEE transactions on automatic control Vol. 62; no. 4; pp. 2020 - 2025
Main Authors Wu, Zheng-Guang, Shi, Peng, Shu, Zhan, Su, Hongye, Lu, Renquan
Format Journal Article
LanguageEnglish
Published IEEE 01.04.2017
Subjects
Asynchronous control
Closed loop systems
Electronic mail
hidden Markov model
Hidden Markov models
Linear matrix inequalities
Markov jump systems
Markov processes
passivity
switching
Online AccessGet full text

Cover

More Information
Summary:The issue of asynchronous passive control is addressed for Markov jump systems in this technical note. The asynchronization phenomenon appears between the system modes and controller modes, which is described by a hidden Markov model. Accordingly, a hidden Markov jump model is used to name the resultant closed-loop system. By utilizing the matrix inequality technique, three equivalent sufficient conditions are obtained, which can guarantee the hidden Markov jump systems to be stochastically passive. Based on the established conditions, the design of asynchronous controller, which covers the well-known mode-independent controller and synchronous controller as special cases, is addressed. The DC motor device is applied to demonstrate the practicability of the derived asynchronous synthesis scheme.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2016.2593742