函数仿射LPV状态空间表示与LFT模型的等价性

IF 2 Q2 AUTOMATION & CONTROL SYSTEMS

IEEE Control Systems Letters Pub Date : 2025-07-01 DOI:10.1109/LCSYS.2025.3584839

Mihály Petreczky;Ziad Alkhoury;Guillaume Mercère

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引用次数: 0

摘要

针对一类具有参数泛函仿射依赖的线性变参系统（LPV），其中系统矩阵仿射依赖于调度变量的非线性函数，提出了一种将其转化为线性分数阶变换（LFT）系统的算法。该变换保留了输入输出行为和最小性，并且得到的LFT系统的不确定性块在调度变量中是线性的。

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On the Equivalence Between Functionally Affine LPV State-Space Representations and LFT Models

We propose a transformation algorithm for a class of Linear Parameter-Varying (LPV) systems with functional affine dependence on parameters, where the system matrices depend affinely on nonlinear functions of the scheduling variable, into Linear Fractional Transformation (LFT) systems. The transformation preserves input-output behavior and minimality, and the uncertainity block of the resulting LFT system is linear in the scheduling variables.

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来源期刊

IEEE Control Systems Letters Mathematics-Control and Optimization

CiteScore

4.40

自引率

13.30%

发文量

471