학술논문

Linear Matrix Inequality Approach to Stochastic Stabilization of Networked Control System with Markovian Jumping Parameters
Document Type
Article
Author
Source
(2022): 405-414.
Subject
Language
Korean
ISSN
15986446
Abstract
This paper is concerned with the stochastic stabilization problem for a class of networked control system(NCS) with destabilizing transmission factors. By introducing the effective sampling instant to model randomtime delays and successive packet dropouts as two independent Markov chains, NCS is modeled as a discrete-timeMarkovian jump linear system with mixed integrated Markovian jumping parameters. In this way, a novel frameworkto analyze the stochastic stabilization problem of NCS is provided. The necessary and sufficient conditions forthe stochastic stabilization of the NCS are obtained by the Lyapunov method and the state-feedback controller gainthat depends on the delay modes is obtained in terms of the linear matrix inequalities (LMIs) formulation via theSchur complement theory. Finally, numerical examples are provided to illustrate the effectiveness of the proposedmethod.
This paper is concerned with the stochastic stabilization problem for a class of networked control system(NCS) with destabilizing transmission factors. By introducing the effective sampling instant to model randomtime delays and successive packet dropouts as two independent Markov chains, NCS is modeled as a discrete-timeMarkovian jump linear system with mixed integrated Markovian jumping parameters. In this way, a novel frameworkto analyze the stochastic stabilization problem of NCS is provided. The necessary and sufficient conditions forthe stochastic stabilization of the NCS are obtained by the Lyapunov method and the state-feedback controller gainthat depends on the delay modes is obtained in terms of the linear matrix inequalities (LMIs) formulation via theSchur complement theory. Finally, numerical examples are provided to illustrate the effectiveness of the proposedmethod.