Realization Theory for LPV State-Space Representations With Affine Dependence

被引：15

作者：

Petreczky, Mihaly ^{[1
]}

Toth, Roland ^{[3
]}

Mercere, Guillaume ^{[2
]}

机构：

[1] Ctr Rech Informat Signal & Automat Lille, CRIStAL, Cent Lille, CNRS, F-59000 Lille, France

[2] Eindhoven Univ Technol, Control Syst Grp, Dept Elect Engn, POB 513, NL-5600 MB Eindhoven, Netherlands

[3] Univ Poitiers, Lab Informat Automat Syst, 2 Rue P Brousse,Batiment B25,BP 633, F-86022 Poitiers, France

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2017年 / 62卷 / 09期

关键词：

Linear-parameter varying systems; realization theory; minimality; hankel-matrix; IDENTIFICATION; SYSTEMS; SERIES;

D O I：

10.1109/TAC.2016.2629989

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We present a Kalman-style realization theory for linear parameter-varying state-space representations whose matrices depend on the scheduling variables in an affine way (abbreviated as LPV-SSA). We show that minimality of LPV-SSAs is equivalent to observability and span-reachability rank conditions, and that minimal LPV-SSAs of the same input-output map are isomorphic. We present necessary and sufficient conditions for existence of an LPV-SSA in terms of the rank of a Hankel-matrix and a Ho-Kalman-like realization algorithm.

引用

页码：4667 / 4674

页数：8

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