6533b855fe1ef96bd12b07d1

RESEARCH PRODUCT

Delay-Dependent Control for Networked Control Systems with Large Delays

Yilin WangHamid Reza KarimiZhengrong Xiang

subject

Delay dependentMathematical problemArticle SubjectComputer sciencelcsh:TA1-2040General MathematicsControl systemlcsh:MathematicsControl (management)General EngineeringControl engineeringlcsh:Engineering (General). Civil engineering (General)lcsh:QA1-939

description

We consider the problems of robust stability and control for a class of networked control systems with long-time delays. Firstly, a nonlinear discrete time model with mode-dependent time delays is proposed by converting the uncertainty of time delay into the uncertainty of parameter matrices. We consider a probabilistic case where the system is switched among different subsystems, and the probability of each subsystem being active is defined as its occurrence probability. For a switched system with a known subsystem occurrence probabilities, we give a stochastic stability criterion in terms of linear matrix inequalities (LMIs). Then, we extend the results to a more practical case where the subsystem occurrence probabilities are uncertain. Finally, a simulation example is presented to show the efficacy of the proposed method.

10.1155/2013/643174https://doaj.org/article/19a75b11bfae493cbb1c7ba2e93653b5