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  • 樊仲光,肖剑,梁家荣.一类广义离散系统的有限时间控制[J].广西科学,2013,20(1):1-4.    [点击复制]
  • FAN Zhong-guang,XIAO Jian,LIANG Jia-rong.Finite-time Control for a Class of Singular Discrete-time Systems[J].Guangxi Sciences,2013,20(1):1-4.   [点击复制]
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一类广义离散系统的有限时间控制
樊仲光1, 肖剑2, 梁家荣3
0
(1.河池学院教师教育学院, 广西宜州 546300;2.华中科技大学控制科学与工程系, 湖北武汉 430074;3.广西大学计算机与电子信息学院, 广西南宁 530004)
摘要:
讨论一类具有时变、有限能量外部扰动的广义离散系统的有限时间控制问题,给出非强迫广义离散系统有限时间有界的充分条件,并在此基础上利用非严格线性矩阵不等式方法,提出实现相应的闭环系统有限时间有界的状态反馈控制器与输出反馈控制器的设计方法.
关键词:  广义离散系统  有限时间有界  外部扰动  线性矩阵不等式
DOI:
投稿时间:2012-07-16
基金项目:国家自然科学基金项目(61064002);教育部"新世纪优秀人才支持计划"专项基金项目(NCET-06-0756)资助。
Finite-time Control for a Class of Singular Discrete-time Systems
FAN Zhong-guang1, XIAO Jian2, LIANG Jia-rong3
(1.School of Teacher Education, Hechi University, Yizhou, Guangxi, 546300, China;2.Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan, Hubei, 430074, China;3.School of Computer and Electronic Information Science, Guangxi University, Nanning, Guangxi, 530004, China)
Abstract:
The finite time control problem is discussed for a class of singular discrete-time system with time-varying norm-bounded exogenous disturbance.A sufficient condition is presented to guarantee the corresponding unforced singular discrete-time system finite-time bounded;and then, the concrete designs of state feedback controller and output feedback controller are given to realize the resulting closed-loop systems by using the method of non-strict linear matrix inequality on this foundation.
Key words:  singular discrete-time systems  finite-time bounded  exogenous disturbance  linear matrix inequality (LMI)

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