Finite‐time stable of time‐varying delay distributed parameter systems with input saturation via periodically intermittent control-Reference-Cited by-同舟云学术

Finite‐time stable of time‐varying delay distributed parameter systems with input saturation via periodically intermittent control

Published:2023-03-22 Issue:9 Volume:46 Page:10268-10278
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Xia Wenhua¹^ORCID,Luo Yiping²,Zhou Bifeng³,Wang Zhujun¹

Affiliation:

1. School of Computational Science and Electronics Hunan Institute of Engineering Hunan China

2. College of Electrical and Information Engineering Hunan Institute of Engineering Hunan China

3. Hunan Electrical College of Technology Hunan China

Abstract

A class of time‐varying delay distributed parameter systems with input saturation is investigated in this paper. The periodic intermittent control method is adopted to make the system stable in finite time, improve the control performance of the system, and save on control cost. A periodic intermittent controller combined saturated input is designed to ensure the stability of the proposed system in finite time. Lyapunov–Krasoviskii stability theory and matrix inequality techniques are used to analyze the finite‐time stability of the system, and sufficient conditions for the system to be stable in finite time are obtained. Finally, the correctness of the theorems is verified by simulation experiments.

Funder

National Natural Science Foundation of China

Science and Technology Program of Hunan Province

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9119

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