%0 Journal Article %T Active Noise Control with Sampled-Data Filtered-x Adaptive Algorithm %A Masaaki Nagahara %A Ken-ichi Hamaguchi %A Yutaka Yamamoto %J Mathematics %D 2013 %I arXiv %X Analysis and design of filtered-x adaptive algorithms are conventionally done by assuming that the transfer function in the secondary path is a discrete-time system. However, in real systems such as active noise control, the secondary path is a continuous-time system. Therefore, such a system should be analyzed and designed as a hybrid system including discrete- and continuous- time systems and AD/DA devices. In this article, we propose a hybrid design taking account of continuous-time behavior of the secondary path via lifting (continuous-time polyphase decomposition) technique in sampled-data control theory. %U http://arxiv.org/abs/1308.3300v1