Abstract: Based on the Linear Matrix Inequality (LMI) technique,the problem of preview control was proposed for descriptor discrete-time systems with polytopic uncertainties.The difference operator and the discrete lifting technique in preview control theory were used,and an augmented error system including previewed information was constructed.Then the preview control problem of the original system  was transformed into a stabilization problem of the augmented error system.T he previewable signals  were utilized by modifying the output equation when considering the output feedback.The sufficient condition of asymptotically stable of the closed-loop system was derived and the gain matrix could be realized by solving an LMI.The numerical simulation examples illustrated the superiority of the preview controller for the descriptor system.

Key words: augmented error system, preview control, polytopic uncertain, descriptor system, output feedback, robust tracking

摘要： 基于线性矩阵不等式技巧,考虑参数不确定广义系统的预见控制问题,采用差分算子和离散提升技术,推导出包含未来目标值信号的扩大误差系统,将原系统的预见跟踪控制问题转化为扩大误差系统的稳定性问题。考虑输出反馈时,改造输出方程、充分利用可预见的信号的信息,给出闭环系统渐近稳定的充分条件。 通过求解线性矩阵不等式,可确定预见控制器增益矩阵。 通过数值仿真表明了所设计控制器的有效性。

关键词: 扩大误差系统, 预见控制, 参数不确定性, 广义系统, 输出反馈, 鲁棒跟踪