CLC number: TP273
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2015-08-14
Cited: 0
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Mei-qin Liu, Hai-yang Chen, Sen-lin Zhang. H∞ reference tracking control design for a class of nonlinear systems with time-varying delays[J]. Frontiers of Information Technology & Electronic Engineering, 2015, 16(9): 759-768.
@article{title="H∞ reference tracking control design for a class of nonlinear systems with time-varying delays",
author="Mei-qin Liu, Hai-yang Chen, Sen-lin Zhang",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="16",
number="9",
pages="759-768",
year="2015",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1500053"
}
%0 Journal Article
%T H∞ reference tracking control design for a class of nonlinear systems with time-varying delays
%A Mei-qin Liu
%A Hai-yang Chen
%A Sen-lin Zhang
%J Frontiers of Information Technology & Electronic Engineering
%V 16
%N 9
%P 759-768
%@ 2095-9184
%D 2015
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1500053
TY - JOUR
T1 - H∞ reference tracking control design for a class of nonlinear systems with time-varying delays
A1 - Mei-qin Liu
A1 - Hai-yang Chen
A1 - Sen-lin Zhang
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 16
IS - 9
SP - 759
EP - 768
%@ 2095-9184
Y1 - 2015
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1500053
Abstract: This paper investigates the H∞; trajectory tracking control for a class of nonlinear systems with time-varying delays by virtue of Lyapunov-Krasovskii stability theory and the linear matrix inequality (LMI) technique. A unified model consisting of a linear delayed dynamic system and a bounded static nonlinear operator is introduced, which covers most of the nonlinear systems with bounded nonlinear terms, such as the one-link robotic manipulator, chaotic systems, complex networks, the continuous stirred tank reactor (CSTR), and the standard genetic regulatory network (SGRN). First, the definition of the tracking control is given. Second, the H∞; performance analysis of the closed-loop system including this unified model, reference model, and state feedback controller is presented. Then criteria on the tracking controller design are derived in terms of LMIs such that the output of the closed-loop system tracks the given reference signal in the H∞; sense. The reference model adopted here is modified to be more flexible. A scaling factor is introduced to deal with the disturbance such that the control precision is improved. Finally, a CSTR system is provided to demonstrate the effectiveness of the established control laws.
This paper investigates the H infinity trajectory tracking control for a class of nonlinear systems with time-varying delays by Lyapunov-Krasovskii stability theory and the linear matrix inequality (LMI) technique.
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