Novel Delay-Dependent Stabilization Criterion for Lur’e Systems with Sector-Restricted Nonlinearities and External Disturbances via PD Feedback Approach

作者: Chun Yin , Shouming Zhong , Xiaoyun Liu , Zijian Liu

DOI: 10.1007/S10957-011-9857-8

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摘要: In this paper, the effects of time delay on Open image in new window control Lur’e systems are considered. Using a convex representation nonlinearity, novel delay-dependent stability criterion is derived for via proportional-derivative (PD) feedback law. The Lyapunov–Krasovskii functional based discretization approach used purpose obtaining condition by utilizing Projection Lemma. utilized to not only guarantee but also reduce effect external disturbance an norm constraint. Finally, two numerical examples show effectiveness proposed method.

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