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一类线性离散时间系统有限时间控制问题
引用本文:沈艳军.一类线性离散时间系统有限时间控制问题[J].控制与决策,2008,23(1):107-109.
作者姓名:沈艳军
作者单位:三峡大学,理学院,湖北,宜昌,443002
摘    要:讨论一类具有时变、有限能量外部扰动的线性离散时间系统的有限时间控制问题.首先研究问题可解的充分条件,并讨论了状态反馈控制器存在的条件,这些条件可归结为基于线性矩阵不等式(LMI)的可解性问题;然后给出状态反馈控制器和输出反馈控制器的具体设计;最后通过仿真验证了该方案的有效性.

关 键 词:离散时间系统  有限时间有界  线性矩阵不等式  扰动
文章编号:1001-0920(2008)01-0107-03
收稿时间:2006-10-26
修稿时间:2007-02-26

Finite-time control for a class of linear discrete-time systems
SHEN Yan-jun.Finite-time control for a class of linear discrete-time systems[J].Control and Decision,2008,23(1):107-109.
Authors:SHEN Yan-jun
Affiliation:SHEN Yan-jun(College of Science,Three Gorges University,Yichang 443002,China.)
Abstract:The finite time control problem for a class of linear discrete-time system with time-varying norm-bounded exogenous disturbance is discussed.Sufficient conditions for feasible problems are studied.The conditions for the existence of state feedback controller are discussed,which can be reduced to feasibility problems based on linear matrix inequality(LMI).The concrete design of state feedback controller and output feedback controller is given.Finally,an example shows the effectiveness of the proposed methodl...
Keywords:Linear discrete-time system  Finite-time bounded  LMI  Exogenous disturbance
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