A Quantitative Measure of Observability and Controllability

被引：13

作者：

Kang, Wei ^{[1
]}

Xu, Liang ^{[2
]}

机构：

[1] Naval Postgrad Sch, Fac Appl Math, Monterey, CA 93943 USA

[2] Naval Res Lab, Monterey, CA USA

来源：

PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年

关键词：

D O I：

10.1109/CDC.2009.5399945

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Observability and controllability are fundamental concepts of control systems. In this paper, we use dynamical optimization and its computational methods as the tool to define and to quantitatively measure the observability and reachability. In addition, the duality between the observability and reachability becomes straightforward under the definitions introduced in this paper. Several examples are given to illustrate the concepts, including an example in which a system being observable under linear control theory is proved to be weakly unobservable.

引用

页码：6413 / 6418

页数：6

共 6 条

[1]

FAHROO F, 1998, P AIAA GUID NAV CONT

[2] Homogeneous pattern selection and director instabilities of nematic liquid crystal polymers induced by elongational flows [J].

Forest, MG ;

Wang, Q ;

Zhou, H .

PHYSICS OF FLUIDS, 2000, 12 (03) :490-498

[3]

Isidori A., 1995, NONLINEAR CONTROL SY, DOI 10.1007/978-1-84628-615-5

[4]

Kailath Thomas, 1980, Linear Systems

[5] On the convergence of nonlinear optimal control using pseudospectral methods for feedback linearizable systems [J].

Kang, W. ;

Gong, Q. ;

Ross, I. M. ;

Fahroo, F. .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2007, 17 (14) :1251-1277

[6]

Krener A. J., 2009, PREPRINT

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