Robust H control for switched stochastic nonlinear systems under sampled‐data

Author:

Zhao Hongpeng1ORCID,Wang Jing2,Huang Dan3

Affiliation:

1. College of Mathematics and Information Science Henan Normal University Xinxiang 453007 Henan People's Republic of China

2. School of Mathematics and Statistics Henan University of Science and Technology Luoyang 471000 Henan People's Republic of China

3. School of Mathematics Harbin Institute of Technology Harbin 150001 Heilongjiang People's Republic of China

Abstract

AbstractIn this article, we consider an output feedback control problem of switched stochastic nonlinear systems under sampled‐data, where the switching converts to asynchronous switching if the switching occurs within the sampling interval. We first construct the output feedback sampled‐data controller by the back‐stepping method. And the limiting conditions of the sampling period are obtained based on the average dwell time method. We show that the closed‐loop system is globally mean‐square asymptotically stable and has a weighted ‐gain. Moreover, our theoretical results are applied to two numerical examples to demonstrate the validity of the proposed method.

Publisher

Wiley

Subject

Electrical and Electronic Engineering,Industrial and Manufacturing Engineering,Mechanical Engineering,Aerospace Engineering,Biomedical Engineering,General Chemical Engineering,Control and Systems Engineering

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