Adaptive control for linear slowly time-varying systems using direct least-squares estimation

In this paper, we propose a least-squares-based non-recursive identificatio n algorithm capable of dealing with slowly lime-varying parameters. The min imized criterion is an L-2 norm of the identification error with forgetting factor. The proposed estimation algorithm does not require explicit knowle dge 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.