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基于LMI的不确定离散多时滞系统鲁棒控制
引用本文:李阳.基于LMI的不确定离散多时滞系统鲁棒控制[J].内蒙古大学学报(自然科学版),2012,43(5):528-532.
作者姓名:李阳
作者单位:辽宁石油化工大学理学院,辽宁抚顺,113001
基金项目:国家自然科学基金资助项目(20273028)
摘    要:针对一类离散时间多时滞不确定系统,给出了新的充分条件以保证该系统的鲁棒稳定性.通过采用Lyapunov方法,结合线性矩阵不等式(LMI)技术,设计出系统的状态反馈鲁棒控制器.最后,通过仿真案例表明所提出理论结果的正确性和有效性.

关 键 词:离散系统  多时滞  鲁棒稳定  线性矩阵不等式(LMI)

LMI-based Robust Control of Uncertain Discrete-time Systems with Multiple Time Delays
LI Yang.LMI-based Robust Control of Uncertain Discrete-time Systems with Multiple Time Delays[J].Acta Scientiarum Naturalium Universitatis Neimongol,2012,43(5):528-532.
Authors:LI Yang
Institution:LI Yang(College of Sciences,Liaoning Shihua University,Fushun 113001,China)
Abstract:Focusing on a class of uncertain discrete-time systems with multiple delay,new sufficient conditions are presented to guarantee the robust stability of the system.By using Lyapunov method and linear matrix inequalities(LMI),a state feedback robust controller is designed.At last,a simulation case is provided to illustrate the correctness and effectiveness of the proposed theoretical results.
Keywords:discrete-time system  multiple delay  robust stability  linear matrix inequality(LMI)
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