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

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