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. (C) 2000 Elsevier Science Ltd. All rights reserved.