最佳化控制與智慧追蹤攔截

本課程「最佳控制與智慧攔截系統」是一門專題的課程。課程內容主要是專業推導 以超快速的 保結構加倍收斂法(Structure-preserving doubling algorithm SDA) 應用到 以衝擊角引導(Impact Angle Guidance) 技術執行的 pursuer/target 3D 決策攔截系統的高效數值方法,目前已知道SDA 可以成功的在FPGA (Field programmable gate array ) 上執行, 可以比MATLAB 提供的 lqr.m 求解攔截系統中每一時刻相映的 Riccati 方程 要快了20倍以上的計算時間,精度上也多了2位以上的有效數字。 本課程目前沒有特定的課本,將先以下列的文獻資料為主要推導3D 決策攔截系統的相互牽制關係,並利用目前廣泛採納的 SDDRE (state-dependent differential Riccati equations) 方.式執行每一刻攔截者對 目標物的最佳控制。我們針對相映的CARE(Continous-time Riccati equation) 提出了高效能的 SDA 方法,完全取代傳統的 MATLAB 的lqr.m.

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