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Feedback stabilization of discrete time singularly perturbed systems with communication constraints
Author(s) -
Tian Yitao,
Liu Wei,
Que Xuejie
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.2023
Subject(s) - control theory (sociology) , simple (philosophy) , exponential stability , stability (learning theory) , mathematics , class (philosophy) , upper and lower bounds , state (computer science) , transmission (telecommunications) , discrete time and continuous time , matrix (chemical analysis) , mathematical optimization , computer science , algorithm , control (management) , nonlinear system , mathematical analysis , telecommunications , philosophy , statistics , physics , materials science , epistemology , quantum mechanics , artificial intelligence , machine learning , composite material
In this paper, the quantized feedback problem for a class of discrete time singularly perturbed systems with information constraints is considered. First, a proper coder‐decoder pair is presented so that the transmission errors tend to zero exponentially under information constraints. Next, linear matrix inequalities are constructed such that the resulting closed‐loop system is input‐to‐state stable (ISS) with respect to the transmission error, and the asymptotic stability of the closed‐loop system also can be guaranteed. The theoretical results have shown that the presented method is simple and easy to operate. Moreover, the upper bound of the small perturbed parameter of the stable system can be explicitly estimated using this feasible method. Finally, two numerical examples are given to illustrate the effectiveness of the proposed method.