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arXiv 2103.02894eess.SYcs.SY
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随机线性网络量化控制系统的稳定性和$\mathcal{H}_{\infty}$性能分析

Stability and $\mathcal{H}_{\infty}$ Performance Analysis of Stochastic Linear Networked and Quantized Control Systems

Wei Ren, Junlin Xiong

摘要:

本文研究了具有两种通信时延和随机丢包的线性网络化量化控制系统的稳定性和$\mathcal{H}_{\infty}$性能分析问题。针对连续时间网络控制系统,提出了一种新的离散时间随机系统模型,并通过一个具有范数有界不确定性的多面体系统对其进行了过逼近.基于过近似系统模型,给出了线性网络化量化控制系统在不同情况下保证输入到状态稳定性和$\mathcal{H}_{\infty}$性能的充分条件.最后给出了一个数值例子来说明所得到的结果。

英文摘要:

This paper studies the stability and $\mathcal{H}_{\infty}$ performance analysis problem for linear networked and quantized control systems with both communication delays random packet losses. To deal with the network-induced uncertainties and random packet dropouts, a novel discrete-time stochastic system model is developed for continuous-time networked control systems, and further overapproximated via a polytopic system with norm-bounded uncertainty. Based on the overapproximated system model, sufficient conditions are established for linear networked and quantized control systems in different cases to guarantee input-to-state stability and $\mathcal{H}_{\infty}$ performance with respect to the network-induced errors. Finally, a numerical example is presented to illustrated the developed results.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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