A quantitative measure of observability and controllability

Author

Kang, Wei ; Xu, Liang

Author_Institution

Fac. of Appl. Math., Naval Postgrad. Sch., Monterey, CA, USA

fYear

2009

fDate

15-18 Dec. 2009

Firstpage

6413

Lastpage

6418

Abstract

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.

Keywords

controllability; duality (mathematics); linear systems; observability; optimisation; reachability analysis; control systems; controllability; duality; dynamical optimization; linear control theory; observability; quantitative measure; reachability; Computer applications; Control systems; Control theory; Controllability; Laboratories; Linear systems; Nonlinear control systems; Nonlinear systems; Observability; Optimization methods;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on

Conference_Location

Shanghai

ISSN

0191-2216

Print_ISBN

978-1-4244-3871-6

Electronic_ISBN

0191-2216

Type

conf

DOI

10.1109/CDC.2009.5399945

Filename

5399945