文献类型：期刊文献

英文题名：Reachable Set Estimation for Discrete-Time Periodic Piecewise Systems

作者：Liu, Yun[1]; Yang, Wen[1]; Yang, Chao[1]; Zhao, Zhiyun[1]

机构：[1] East China University of Science and Technology, Key Laboratory of Smart Manufacturing in Energy Chemical Process, Ministry of Education, Shanghai, 200237, China

年份：2023

起止页码：1660

外文期刊名：Proceedings of the IEEE Conference on Decision and Control

收录：EI(收录号：20240715547730)

语种：英文

摘要：This paper investigates the reachable set estimation problem for discrete-time periodic piecewise systems subject to bounded-peak disturbances for the first time. Based on the periodic linear-interpolative formulation, the discrete time-scheduling Lyapunov function-s with non-jumping or jumping modes are constructed to develop criteria of reachable set estimation that can ensure the asymptotic stability and reachability of the investigated system. Moreover, an index optimizing the bounding region of the desirable reachable set is given via resorting to the ellipsoid technique, and their results are compared. Finally, numerical examples are given to validate the effectiveness of the proposed results. ? 2023 IEEE.