Stability analysis and design of cooperative control for linear delta operator system-Reference-Cited by-同舟云学术

Stability analysis and design of cooperative control for linear delta operator system

Published:2023 Issue:6 Volume:8 Page:12671-12693
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Xue Yanmei¹,Han Jinke¹,Tu Ziqiang¹,Chen Xiangyong²³

Affiliation:

1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China

2. School of Automation and Electrical Engineering, Linyi University, Linyi 276000, Shandong, China

3. School of Mathematical and Computational Science, Hunan University of Science and Technology, Xiangtan 411201, Hunan, China

Abstract

<abstract><p>This paper investigates the cooperative state feedback control problem for delta operator-based large-scale systems with independent subsystems. First, the state feedback controller is introduced to interconnect the adjacent subsystems into a closed-loop system. Second, the Lyapunov function in delta domain is constructed, and the linear matrix inequality method is used to design the cooperative state feedback stability controller for the whole large-scale interconnected system. Third, a performance index is introduced for the design of the optimal cooperative state feedback controller. Finally, stability of the closed-loop system is proved on the basis of stability theory, and simulation examples are given for showing the effectiveness of the design method.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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