Abstract
Two different approaches to improve the convergence of transient characteristics are developed for the design of an adaptive observer for a single-input single-output linear discrete system where only the input and the output can be measured.
The first approach is to minimize the square function by a new recursive algorithm, in which the past data are exponentially weighted in order to emphasize the effect of current data. The second approach is to introduce unknown initial states into the recursive algorithm.
Simulation studies of a third-order system for different parameter selections are included at the end of the paper to demonstrate the effectiveness of the two schemes.
