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第36届中国控制会议

作者： Le Feng Xiangjie Liu Yongpeng Zhang The State Key Laboratory of Alternate Electrical Power system with Renewable Energy Sources North China Electric Power University Dept of Engineering Technology Prairie View A&M University

ISBN: (纸本)9781538629185

The time-delay in state variables can impacts the stability of power system. The problem about stability analysis of linear systems with time-varying delays is concerned. A general criterion of the system asymptotic stability is established by segmenting delay intervals. Corollaries under different conditions are given. The three delay intervals with delay information are segmented finitely based on the idea of time-delay segment. And a general Lyapunov functional formula is *** information on the bound of the delay is fully exploited. A general sufficient condition is derived with less conservative for the system asymptotic stability. Different methods are used comprehensive during the calculation process of the functional derivative, such as the piecewise analysis, the convex combination technique and integral inequality. Analyzing WSCC 3-machine 9-bus system indicate that the delay stability margin is less conservative than the results in the other literature and verify the effectiveness of the stability criterion.

关键词： Power system time-varying delay system Stability delay segment LMI

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Absolute Stability of Nonlinear systems with Two Additive time-varying delay Components

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International Journal of Automation and computing 2011年第4期8卷 391-402页

作者： Bassem Ben Hamed Mohamed Chaabane Walid Kacem Higher Institute of Applied Sciences and Technology of Gab`es Department of Mathematics Street Amor Ben El Khatab 6029 Gab`es Tunisia National Engineering School of Sfax Department of Electrical Engineering Street Soukra km 3.5 B.P. 1173 3038 Sfax Tunisia

In this paper, we present a new sufficient condition for absolute stability of Lure system with two additive time-varying delay components. This criterion is expressed as a set of linear matrix inequalities （LMIs）, which can be readily tested by using standard numerical software. We use this new criterion to stabilize a class of nonlinear time-delay systems. Some numerical examples are given to illustrate the applicability of the results using standard numerical software.

关键词： time-varying delay system additive delay absolute stability linear matrix inequalities (LMIs) S-procedure Lyapunov Krasovskii functional stabilization.

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