离散时间切换线性系统的最小状态超调设计.PDFVIP

第 34 卷第 2 期 控 制 理 论 与 应 用 Vol. 34 No. 2 2017 年 2 月 Control Theory Applications Feb. 2017 DOI: 10.7641/CTA.2017.16102 离离离散散散时时时间间间切切切换换换线线线性性性系系系统统统的的的最最最小小小状状状态态态超超超调调调设设设计计计 程福亨1, 孙振东2? (1. 华南理工大学 自动化科学与工程学院, 广东 广州 510640; 2. 中国科学院数学与系统科学研究院系统控制重点实验室, 北京 100190) 摘要: 本文探讨离散时间切换线性系统的最小状态超调设计问题. 对有限时长情形, 给出基于穷尽有哪些信誉好的足球投注网站的构造性 算法, 并采用降价法提高计算效率. 对无限时长情形, 给出基于分段总汇的次优设计方案. 关键词: 切换线性系统; 状态超调; 最优化 中图分类号: TP273 文献标识码: A Minimum state-overshooting design for discrete-time switched linear systems CHENG Fu-heng1, SUN Zhen-dong2? (1. College of Automation Science and Technology, South China University of Technology, Guangzhou Guangdong 510640, China; 2. Key Lab of Systems and Control, Academy of Mathematics and Systems Science, Chinese Academy of Science, Beijing 100190, China) Abstract: In this work, we address the problem of minimum state-overshooting for discrete-time switched linear sys- tems. For ?nite time horizons, the problem is solved in a constructive manner by exhaustive search, and a reduced-order methodology is applied to improve the computational ef?ciency. For in?nite time horizons, sub-optimal solutions are obtained based on proper aggregation of ?nite-time-horizon trajectories. Key words: switched linear systems; state-overshooting; optimization 1 Introduction overshoot that refers to an output exceeding its ?nal, A switched linear system is a hybrid system con- steady-state value. The minimum overshooting prob- sisting of a set of linear subsystems and a rule that co- lem is a classical control problem, and many effort