EFFECTIVE IDENTIFICATION ALGORITHMS FOR ADAPTIVE-CONTROL

Minimum variance adaptive control schemes are considered. By means of the concept of excitation subspace, the notion of effective identification algorithm is introduced. it is shown that, if the system to be controlled is noise-free and minimum phase, the tracking error tends to zero provided that the identification is effective. Finally, the effectiveness of the most popular recursive identification techniques (recursive least squares, stochastic gradient, projection algorithm) is discussed.