Delay-dependent stabilization conditions of positive continuous-time systems

W. Elloumi, A. Benzaouia, M. Chaabane
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Abstract

The synthesis of state feedback controller problem for the class of linear continuous-time systems with time-varying delay is solved by maintaining the positivity of the studied system in the closed-loop. Our state-feedback law is formulated by giving sufficient conditions in terms of LMIs. A numerical example with two types of time delay function is used in order to show the effectivness of our proposed method.
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正连续系统的时滞相关镇定条件
通过在闭环中保持被研究系统的正性,解决了一类具有时变时滞的线性连续系统的状态反馈综合控制器问题。我们的状态反馈律是通过给出lmi的充分条件来制定的。最后以两类时滞函数为例,验证了所提方法的有效性。
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