Title :
System immersion into a locally observable polynomial-in-the-state representation
Author :
Ohtsuka, Toshiyuki
Author_Institution :
Dept. of Comput. Mech. Syst., Osaka Univ., Japan
Abstract :
This paper considers immersion of a nonlinear system into a rational-in-the-state representation (RSR) and a polynomial-in-the-state representation (PSR). Particularly, local observability is discussed for an RSR and a PSR after immersion. Adopting some concepts from graph theory, it is shown that, if a given system is immersible, immersions can always be constructed so that an RSR and a PSR are locally observable.
Keywords :
graph theory; nonlinear control systems; observers; polynomials; graph theory; nonlinear system; observers; polynomial-in-the-state representation; rational-in-the-state representation; system immersion; Differential equations; Graph theory; Linear systems; Mechanical systems; Nonlinear equations; Nonlinear systems; Observability; Parameter estimation; Polynomials; State feedback;
Conference_Titel :
Decision and Control, 2003. Proceedings. 42nd IEEE Conference on
Print_ISBN :
0-7803-7924-1
DOI :
10.1109/CDC.2003.1272224
