Automatica, Vol.37, No.2, 251-256, 2001
Adaptive control for linear slowly time-varying systems using direct least-squares estimation
In this paper, we propose a least-squares-based non-recursive identification algorithm capable of dealing with slowly lime-varying parameters. The minimized criterion is an L-2 norm of the identification error with forgetting factor. The proposed estimation algorithm does not require explicit knowledge on the noise bound or the region where the true parameters lie. Finally, a pole placement hybrid controller is designed and the system's state is shown to be bounded.
Keywords:adaptive control;identification;time-varying systems;direct least squares;hybrid controller