标题：L1-gain analysis and control of positive linear systems with delays
作者：Fang, Tao ;Zhu, Shuqian ;Zhang, Chenghui
作者机构：[Fang, Tao ;Zhu, Shuqian ] School of Mathematics, Shandong University, Jinan 250100, China;[Zhang, Chenghui ] School of Control Science and Engineerin 更多
会议名称：32nd Chinese Control Conference, CCC 2013
会议日期：July 26, 2013 - July 28, 2013
来源：Chinese Control Conference, CCC
摘要：In this paper, the problem of L1-gain analysis and control is investigated for positive linear systems with delays. Due to the nonnegative property of positive systems, it is natural to evaluate the system performance via the L1-gain. Firstly, the necessary and sufficient condition is given to guarantee that the positive linear delay system is asymptotically stable and satisfies the prescibed L1-gain. Then, based on the above condition, for the single-input system, by using the singular value decomposition (SVD) approach, the necessary and sufficient condition is provided for the existence of the L1-controller. This condition can be described as a linear programming (LP) problem. The proposed approach can be extended to the multi-input case and the existence condition is provided for the controller with a special form. Finally, a numerical example is provided to show the effectiveness and correctness of the theoretical results. © 2013 TCCT, CAA.