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New Stabilization of Continuous‐Time Delayed Systems Based on Partially Delay‐Dependent Controllers
Author(s) -
Wang Guoliang,
Liu Li
Publication year - 2016
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.1306
Subject(s) - control theory (sociology) , controller (irrigation) , linear matrix inequality , state (computer science) , full state feedback , computer science , class (philosophy) , property (philosophy) , process (computing) , mathematics , control (management) , mathematical optimization , algorithm , philosophy , epistemology , artificial intelligence , agronomy , biology , operating system
In this paper, a new approach is developed to discuss the stabilization problem for a class of continuous‐time delayed systems, which is firstly achieved by a kind of partially delay‐dependent controller. The main property of the desired controller is that both non‐delay and delay states are contained. Different from the traditional stabilization methods realized by totally non‐delay or delay state feedback controllers, both non‐delay and delay states are contained but take place asynchronously, where the probability distributions of such terms are considered in the controller design process. Based on the established model, new stabilization conditions depending on such probabilities are presented with linear matrix inequality forms. Moreover, another general case in terms of probability having uncertainty is also considered. Finally, numerical examples are used to illustrate the effectiveness and superiority of the design methods.