On global and local observability of nonlinear polynomial systems: a decidable criterion

被引：10

作者：

Gerbet, Daniel ^{[1
]}

Roebenack, Klaus ^{[1
]}

机构：

[1] Tech Univ Dresden, Inst Control Theory, D-01062 Dresden, Germany

来源：

AT-AUTOMATISIERUNGSTECHNIK | 2020年 / 68卷 / 06期

关键词：

nonlinear observability; polynomial systems; algebraic geometry; OBSERVER; CONTROLLABILITY; COMPUTATION; EQUATION;

D O I：

10.1515/auto-2020-0027

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is very difficult to check the observability of nonlinear systems. Even for local observability, the observability rank condition provides only a sufficient condition. Much more difficult is the verification of global observability. This paper deals with the local and global observability analysis of polynomial systems based on algebraic geometry. In particular, we derive a decidable criterion for the verification of global observability of polynomial systems. Our framework can also be employed for local observability analysis.

引用

页码：395 / 409

页数：15

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