摘要
针对存在时变采样周期和时延的网络化控制系统,讨论混合鲁棒H2/H∞控制性能约束下控制问题.通过矩阵Jordan变换,将时变采样周期和时延的不确定性转变为系统参数的不确定性,建立了离散时间凸多面体不确定系统模型.利用矩阵不等式方法,设计了满足混合鲁棒H2/H∞性能的控制状态反馈控制器.对不稳定的连续时间系统,该控制器能使闭环系统保持渐近稳定并对外界干扰具有良好的抑制性.控制器存在的充分条件和具体参数通过求解线性矩阵不等式给出,计算简单.数值仿真结果表明所设计控制器的有效性.
The uncertainties of the time varying sampling period and time delays in networked control system（NCS） were converted to the uncertainty of the parameter matrix by the Real Jordan form approximation,and a discrete-time model with parameters uncertainties lying inside a polytypic framework was proposed.Using the linear matrix inequalities（LMIs） method,a state feedback controller was designed which satisfied the mixed robust H2/H∞ performance.For unstable continuous-time system,the proposed control law confirms the closed-loop system asymptotic stable and restrains the disturbances.The sufficient conditions for existence of the controller and the controller parameters,presented by LMIs,are simple and effective.The simulation results show the validity of the design methods.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2012年第9期66-71,共6页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
国家自然科学基金资助项目(60874053)
中央高校基本科研业务费专项资金资助项目(ZZQ10003)
关键词
网络化控制系统
时变采样周期
混合H2/H∞控制
凸多面体不确定
线性矩阵不等式
networked control system（NCS）
time-varying sampling period
mixed robust H2/H∞ control
polytopic uncertainty
linear matrix inequalities（LMIs）
