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针对一类线性离散系统,提出一种基于二维模型的非脆弱离散重复控制设计方法.通过独立地考虑重复控制系统的控制与学习行为,建立离散重复控制系统的二维模型.在此基础上,针对重复控制器和反馈控制器具有不确定性的离散重复控制系统,给出了基于线性矩阵不等式的系统稳定性条件和重复控制律.最后,数值仿真实例验证了所提方法的有效性.
For a class of linear discrete systems, a non-fragile discrete repeat control method based on two-dimensional model is proposed. The two-dimensional model of discrete repetitive control system is established by considering the control and learning behaviors of the repetitive control system independently , And the system stability and the iterative control law based on the linear matrix inequality are given for the discrete repeat control system with uncertainties of repetitive controller and feedback controller.Finally, numerical simulation shows the effectiveness of the proposed method.