Adaptive identification, observation, and control of certain linear systems

It has been recently shown that adaptive observers may achieve an arbitrarily-fast rate of convergence if the dynamic order of the observer is sufficiently large. This paper investigates the behavior of an adaptive observer with regard to the choice of design parameters and to the magnitude of parameter, ignorance for the case where arbitrarily-fast convergence is guaranteed and the lower-order cases for which assurance of arbitrarily-fast convergence has not been given. A controller for the arbitrarily-fast placement of plant poles of stable systems is presented, also with evaluation