不确定分段线性系统的参数相关PWQ Lyapunov函数稳定性判据

IF 0.7 4区计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS

Modeling Identification and Control Pub Date : 2018-01-01 DOI:10.4173/MIC.2018.1.2

M. Hovd, Sorin Olaru

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引用次数: 3

摘要

从不确定分段线性动力学的稳定性分析出发，研究了分段二次Lyapunov函数的计算问题。作为主要贡献，Johansson和Rantzer(1998)提出的用于PWL和PWA动力学稳定性分析的线性矩阵不等式(LMI)方法被扩展到考虑基于改进的松弛技术的参数不确定性。结果应用于锁相环(PLL)基准的分析，并证明了在参数空间中保证稳定区域的能力远远超过了目前的技术水平。

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Parameter-dependent PWQ Lyapunov function stability criteria for uncertain piecewise linear systems

The calculation of piecewise quadratic (PWQ) Lyapunov functions is addressed in view of stability analysis of uncertain piecewise linear dynamics. As main contribution, the linear matrix inequality (LMI) approach proposed in Johansson and Rantzer (1998) for the stability analysis of PWL and PWA dynamics is extended to account for parametric uncertainty based on a improved relaxation technique. The results are applied for the analysis of a Phase Locked Loop (PLL) benchmark and the ability to guarantee a stability region in the parameter space well beyond the state of the art is demonstrated.

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来源期刊

Modeling Identification and Control 工程技术-计算机：控制论

CiteScore

3.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The aim of MIC is to present Nordic research activities in the field of modeling, identification and control to the international scientific community. Historically, the articles published in MIC presented the results of research carried out in Norway, or sponsored primarily by a Norwegian institution. Since 2009 the journal also accepts papers from the other Nordic countries.