The Set Invariability Condition of Discrete-time Linear Systems with Disturbance and Actuator Saturation
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The Set Invariability Condition of Discrete-time Linear Systems with Disturbance and Actuator Saturation
Vol. 14, Issue 6, Pages: 81-83(2009)
作者机构:
哈尔滨理工大学应用科学学院
作者简介:
基金信息:
DOI:
CLC:TP215
Published:2009
稿件说明:
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WEI Jin-jin, CHEN Dong-yan, ZHENG Hong-yan. The Set Invariability Condition of Discrete-time Linear Systems with Disturbance and Actuator Saturation[J]. 2009, 14(6): 81-83.
DOI:
WEI Jin-jin, CHEN Dong-yan, ZHENG Hong-yan. The Set Invariability Condition of Discrete-time Linear Systems with Disturbance and Actuator Saturation[J]. 2009, 14(6): 81-83.DOI:
The Set Invariability Condition of Discrete-time Linear Systems with Disturbance and Actuator Saturation
摘要
通过引入复合二次Lyapunov函数
给出了判定带有外界扰动和执行器饱和的离散线性系统集合不变性的充分条件.同时
利用Schur补引理
把集合不变性条件转换为线性矩阵不等式(LMI)
为集合不变性的判断提供了可行的方法.本文结果是已有文献给出的集合不变性条件的推广
它能用来很好地扩大系统的吸引域
Abstract
The set invariability sufficient condition of discrete-time linear systems with disturbance and actuator saturation is given by using composite quadratic Lyapunov functions.We transform the condtion into linear matrix inequality(LMI) by Schur complement lemma
which may provide feasible method for the decision of set invariability.The result generalizes the conclusion in the existing articles about the set invariability condition