International Journal of Control, Vol.66, No.6, 943-954, 1997
On Nonlinear Continuous Observers
The paper investigates the possibility of using smooth maps with continuous inverses (which are called semi-diffeomorphisms here) for the study of observability and observer design for nonlinear smooth systems. A method is proposed for the design of continuous observers for uniformly observable nonlinear systems. The results obtained also cover systems not coverable by all previous results on smooth nonlinear observers.