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Guaranteed cost control of distributed parameter networked control systems with time‐varying delay
Author(s) -
Zhu Qixin,
Lu Kaihong,
Zhu Yonghong
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1989
Subject(s) - networked control system , control theory (sociology) , linear matrix inequality , controller (irrigation) , network packet , computer science , distributed parameter system , packet loss , transmission (telecommunications) , control system , function (biology) , lyapunov function , control (management) , mathematical optimization , mathematics , engineering , nonlinear system , differential equation , physics , electrical engineering , quantum mechanics , artificial intelligence , evolutionary biology , agronomy , biology , computer network , mathematical analysis , telecommunications
Distributed parameter networked control systems mean distributed parameter systems are controlled through a network, where the control loops are closed. In this paper, the problem of guaranteed cost and state feedback controller design is investigated for a class of distributed parameter networked control systems. With the network factors, such as transmission delays, data packet dropouts considered, the distributed parameter networked control system is modeled as a linear closed‐loop system with time‐varying delay and uncertain parameters. By selecting an appropriate Lyapunov‐Krasovskii function and using linear matrix inequality (LMI) approach, the controller is designed to render the system stable and it can keep the cost function less than a certain upper value. In addition, numerical simulation is included to demonstrate the theoretical results.