一类线性双曲型系统的Lyapunov-Razumikhin技术的采样数据控制

2021 European Control Conference (ECC) Pub Date : 2021-06-29 DOI:10.23919/ecc54610.2021.9655186

Xinyong Wang, C. Fiter, Ying Tang, L. Hetel

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引用次数: 0

摘要

本文研究了一类具有分布采样数据控制器的线性双曲型系统的稳定性。首先，我们将原始系统转换为等效系统，其中采样引起的误差被建模为重置积分器。然后利用适当的Lyapunov函数与Razumikhin技术相结合，给出了系统Rε -稳定的充分条件。最后，通过数值算例验证了本文的计算结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Sampled-data Control for a Class of Linear Hyperbolic Systems via the Lyapunov-Razumikhin Technique*

This work investigates the stability for a class of linear hyperbolic systems with distributed sampled-data controllers. First, we convert the original system into an equivalent system in which the sampling induced error is modeled as a reset integrator. Then by means of an appropriate Lyapunov function coupled with the Razumikhin technique, suﬃcient conditions are given for the Rε - stability of the system. Finally, our results are validated by a numerical example.

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2021 European Control Conference (ECC)

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