Abstract
This paper presents the effect which generally ignored initial state errors produce on the transient characteristics of the integral type adaptive law with a fixed gain in the design of an adaptive identification system (AIS) based on the continuous time parametric error model. First, the sufficient condition not to increase the solution norm of the adaptive law when obsever errors are ignored is presented. Secondly, it is shown that boundedness of signals assures that the solution norm does not depart in finite time, even if the sufficient condition is not satisfied. At the end of this paper, effectiveness of the analysis results is demonstrated through digital simulation of a simple example.
