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基于狀態觀測器的線性離散時間系統的最優預見控制

Optimal preview control based on state observers for linear discrete-time systems

  • 摘要: 研究了帶有預見信息的線性離散時間系統的狀態觀測器,并將其應用到預見控制系統.為了滿足設計觀測器的需要,首先導出了包含可預見的目標值信號和干擾信號的擴大誤差系統,并由此得到最優預見控制器.在設計狀態觀測器時,通過改寫輸出方程充分利用了可預見的目標值信號和干擾信號.設計的狀態觀測器針對原系統是全維觀測器,而針對擴大誤差系統則是降維觀測器.最后通過數值仿真證明了所設計的狀態觀測器的有效性.

     

    Abstract: A state observer with preview information for linear discrete-time systems was studied and applied to preview control systems. To design the state observer, an augmented error system with previewable desired tracking and disturbance signals was derived first, which leads to obtaining an optimal preview controller. While in designing the state observer, previewable desired tracking and disturbance signals were fully utilized through reformulation of the output equation. The state observer is a full-order dimensional observer with respect to the original system;whereas it is a reduced-order observer with respect to the augmented error system. Numerical simulation verifies the effectiveness of the state observer.

     

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