本文主要目的在探討描述系統架構下之相關控制理論。首先以變分法建立單人對局理論,再進一步經由推導最佳控制理對界實引理,而發展強健H∞狀態回饋控制率。為瞭解此控制率的效用,文中並以智慧樑板結構為例,設計減震控制器,同時採用數值計算以驗證之。 Through the calculus of variation for establishing one-player game theory, an optimal control theory and bounded real lemma for descriptor systems are conducted to develop a design method for robust H∞ control laws. Thereafter, the developed control methods are applied to treat vibration suppression for beam-plate structures. Numerical simulation is presented to illustrate the design procedure for state feedback controller.