CLC number: O231
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2019-12-19
Cited: 0
Clicked: 5543
Citations: Bibtex RefMan EndNote GB/T7714
Ya-ting Zhang, Jun-e Feng. Output tracking of delayed logical control networks with multi-constraint[J]. Frontiers of Information Technology & Electronic Engineering, 2020, 21(2): 316-323.
@article{title="Output tracking of delayed logical control networks with multi-constraint",
author="Ya-ting Zhang, Jun-e Feng",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="21",
number="2",
pages="316-323",
year="2020",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1900376"
}
%0 Journal Article
%T Output tracking of delayed logical control networks with multi-constraint
%A Ya-ting Zhang
%A Jun-e Feng
%J Frontiers of Information Technology & Electronic Engineering
%V 21
%N 2
%P 316-323
%@ 2095-9184
%D 2020
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1900376
TY - JOUR
T1 - Output tracking of delayed logical control networks with multi-constraint
A1 - Ya-ting Zhang
A1 - Jun-e Feng
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 21
IS - 2
SP - 316
EP - 323
%@ 2095-9184
Y1 - 2020
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1900376
Abstract: In this study, the output tracking of delayed logical control networks (DLCNs) with state and control constraints is further investigated. Compared with other delays, state-dependent delay updates its value depending on the current state values and a pseudo-logical function. Multiple constraints mean that state values are constrained in a nonempty set and the design of the controller is conditioned. Using the semi-tensor product of matrices, dynamical equations of DLCNs are converted into an algebraic description, and an equivalent augmented system is constructed. Based on the augmented system, the output tracking problem is transformed into a set stabilization problem. A deformation of the state transition matrix is computed, and a necessary and sufficient condition is derived for the output tracking of a DLCN with multi-constraint. This condition is easily verified by mathematical software. In addition, the admissible state-feedback controller is designed to enable the outputs of the DLCN to track the reference signal. Finally, theoretical results are illustrated by an example.
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