正采样数据系统的稳定性分析和l1增益特性

IF 1.7 4区 计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS
Meng-Jie Hu, Xinchen Shi, Zhuoqi Sun
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引用次数: 0

摘要

本文研究了正采样数据系统的正稳定性和[公式:见文本]增益表征问题。通过构造一个新的采样周期相关的合成Lyapunov泛函,并引入自由权矩阵法去除单积分项,建立了正采样数据系统异步稳定性的充分条件。此外,还考虑了工程中经常出现的系统扰动。以线性规划技术的形式给出了满足增益性能的正采样数据系统鲁棒稳定性的条件。给出了一个数值算例和基于通信网络模型的实际仿真,说明了理论结果的合理性和适用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Stability analysis and L1-gain characterization of positive sampled-data systems
In this study, the positive stability and [Formula: see text]-gain characterization problem are investigated for positive sampled-data systems. By constructing a new sampling-period-dependent copositive Lyapunov functional, and introducing the free weight matrix method to remove the single integral term, sufficient conditions for the asynchronous stability of the positive sampled-data system are established. Furthermore, system disturbances that occur frequently in engineering are taken into account. Conditions for robust stability of positive sampled-data systems that satisfy [Formula: see text]-gain performance are developed in the form of the linear programming technology. A numerical example and a practical simulation based on a communication network model are provided to illustrate the rationality and application of the theoretical results.
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来源期刊
CiteScore
4.10
自引率
16.70%
发文量
203
审稿时长
3.4 months
期刊介绍: Transactions of the Institute of Measurement and Control is a fully peer-reviewed international journal. The journal covers all areas of applications in instrumentation and control. Its scope encompasses cutting-edge research and development, education and industrial applications.
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