M. Fliess et J. Rudolph, HARDY FIELDS AND LOCAL ASYMPTOTIC OBSERVERS FOR DIFFERENTIALLY FLAT SYSTEMS, Comptes rendus de l'Academie des sciences. Serie II. Mecanique, physique, chimie, astronomie, 324(8), 1997, pp. 513-519
We propose a local asymptotic observer around a desired trajectory for
nonlinear differentially flat systems. The system variables are assum
ed to belong to a Hardy field, the largest comparability class of whic
h is the exponential, as is often verified in practice. Then, we ensur
e the exponential convergence of the observer by a scheduled gain whic
h assigns the eigenvalues. An example of a chemical reactor is outline
d.