Title :
A quantitative measure of observability and controllability
Author :
Kang, Wei ; Xu, Liang
Author_Institution :
Fac. of Appl. Math., Naval Postgrad. Sch., Monterey, CA, USA
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;
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
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5399945
