Stabilization of a Chain of Integrators With an Unknown Delay in the Input by Adaptive Output Feedback

H.-L. Choi, J.-T. Lim
2006 IEEE Transactions on Automatic Control  
In this note, we consider a stabilization problem of a chain of integrators with an unknown delay in the input. We propose an adaptive output feedback control scheme in which the delay-related low-gain parameter is tuned online by utilizing the integral value of the input norm-bound. Thus, a priori knowledge on the delay is not required for controller design. Index Terms-Adaptive output feedback, chain of integrators, time-delay systems, unknown delay. 2 ( 3 ; 1). Moreover, the bound of control
more » ... input can be made arbitrarily small. Proof: Proof is in the Appendix. Remark 1: In Lemma 1, the parameters K and L can be selected without any knowledge on . Compared with the controller (3) , the 0018-9286/$20.00 © 2006 IEEE Authorized licensed use limited to: Korea Advanced Institute of Science and Technology. Downloaded on February 7, 2010 at 23:45 from IEEE Xplore. Restrictions apply.
doi:10.1109/tac.2006.878742 fatcat:ensrwn2offhpffy6gfwh3f3yra