An H∞ approach to robust adaptive control
Robust adaptive control is investigated using the H∞ approach. An equivalent measure to the H∞- norm is adopted to quantify the unmodeled dynamics associated with adaptive estimation of the nominal model based on time-domain measurement data. Such an equivalent description for modeling errors allows H∞ optimization to be successfully used in adaptive control to achieve robust stability and performance comparable to H∞ control. The proposed adaptive control consists of the total least-squares (TLS) algorithm for adaptive model estimation, and H∞-loopshaping for adaptive controller design. Our results show that the proposed adaptive control system admits robust stability and performance asymptotically, provided that the estimated plant model converges. ©2007 IEEE.
Publication Source (Journal or Book title)
Proceedings of the IEEE Conference on Decision and Control
Gu, G., & Qiu, L. (2007). An H∞ approach to robust adaptive control. Proceedings of the IEEE Conference on Decision and Control, 903-908. https://doi.org/10.1109/CDC.2007.4434257