Stabilization of Markovian Jump Systems Via a Partially Mode-Dependent Controller of Dwell Times

In this paper, the stabilization problem of discrete-time Markovian jump systems (DMJSs) with partially mode-dependent controllers of dwell times is studied. Firstly, a kind of partially mode-dependent controller (PMC) experiencing dwell times is proposed, whose stability problem is transformed into...

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Bibliographic Details
Main Authors: Guoliang Wang, Xiangzhou Gao, Xijie Li
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8890679/
Description
Summary:In this paper, the stabilization problem of discrete-time Markovian jump systems (DMJSs) with partially mode-dependent controllers of dwell times is studied. Firstly, a kind of partially mode-dependent controller (PMC) experiencing dwell times is proposed, whose stability problem is transformed into a similar one about another DMJS. Secondly, by exploiting a switched quadratic Lyapunov function (SQLF), sufficient conditions for the designed controller are given in terms of linear matrix inequalities (LMIs). Moreover, more extensions about stabilization realized by fault-tolerant and disordered controllers are considered. Finally, two practical examples are used to show the effectiveness and practicability of the proposed methods.
ISSN:2169-3536