本篇論文提出一種新的模糊模型：線性分式轉換(Linear fractional transformation，LFT)架構的系統，
並分別設計出二階及三階兩種控制器，研究相同受控系統的控制問題。
論文中研究一個含有分式項的模糊控制問題，
以PDC動態輸出回饋控制器來使其達到二次漸進穩定，
並滿足廣義$H_{2}$性能指標的要求。採用全等轉換(congruence transform)
的方法來分析與設計控制器，使控制目標滿足廣義$H_{2}$的性能指標。
因為系統為LFT架構，所以必須考慮LFT架構的比例條件，此限制為求解時重要的條件之一。
在論文中，我們設計了兩種控制器，經過蕭氏轉換(Schur complement)與全等轉換之後，
可以分別得兩組控制器的線性矩陣不等式(LMIs)，
來對原本的控制問題求解。我們也考慮因為線性矩陣不等式數目太多，
易造成求解時的難度增加，
所獲得的解過於侷限等情形提出簡化線性矩陣不等式(LMIs)數目與增加求解裕度的方法。
亦嘗試限制$Delta$滿足二次模(2-norm)的架構，探討如此限制下的求解條件。
最後，使用含有分式項的倒車例子進行電腦的模擬求解。

No

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