文章基本信息

标题：Asymptotic Tracking of Periodic Operation Based on Control Contraction Metrics
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作者：Ruigang Wang ; Jie Bao
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2016
卷号：49
期号：7
页码：574-578
DOI：10.1016/j.ifacol.2016.07.404
语种：English
出版社：Elsevier
摘要：Periodic operations can be beneficial to chemical and biological systems, leading to better efficiency and plant economy compared to steady state operation. In this paper, the tracking control of desired periodic operation based on control contraction metrics is considered. A relaxation method is proposed to convert the nonconvex control synthesis problem into a convex sum-of-squares programming. Finally, an application to a Lotka-Volterra system of sustained oscillating chemical reactions is presented for illustration. The main advantages of this approach include: (1) the feedback information is geodesics, which is a general deviation considering local nonlinearity; (2) the differential state feedback control law is reference trajectory independent; (3) the control design can be carried out via numerical optimization.
关键词：Periodic operationControl contraction metricsSums-of-squaresLotka-Volterra system