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Finite‐region stabilization via dynamic output feedback for 2‐D Roesser models
Author(s) -
Hua Dingli,
Wang Weiqun,
Yu Weiren,
Wang Yixiang
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4740
Subject(s) - control theory (sociology) , mathematics , output feedback , stability (learning theory) , generalization , controller (irrigation) , observer (physics) , discrete time and continuous time , full state feedback , matrix (chemical analysis) , control (management) , mathematical analysis , computer science , statistics , physics , materials science , quantum mechanics , machine learning , artificial intelligence , agronomy , composite material , biology
Finite‐region stability (FRS), a generalization of finite‐time stability, has been used to analyze the transient behavior of discrete two‐dimensional (2‐D) systems. In this paper, we consider the problem of FRS for discrete 2‐D Roesser models via dynamic output feedback. First, a sufficient condition is given to design the dynamic output feedback controller with a state feedback‐observer structure, which ensures the closed‐loop system FRS. Then, this condition is reducible to a condition that is solvable by linear matrix inequalities. Finally, viable experimental results are demonstrated by an illustrative example.