本文研究離散時間、線性、非時變正值系統之動態輸出回授H∞控制器設計問題。首先針對輸出矩陣具有特定形式之正值系統，本文推導出以線性矩陣不等式（linear matrix inequality, LMI）與線性不等式組成之充要條件，其甚至適用於控制器為降階與具結構限制的情形。針對更具一般性之正值系統，本文提出相似的充分條件以及兩階段式之設計演算法。另外，更進一步地以類似論點延伸至另一種狀態空間之控制器合成問題。最後，模擬結果證實了本文所提方法是有效的。 This paper is concerned with the H-infinity dynamic output-feedback stabilization of discrete-time positive linear time-invariant systems. It is first shown that for a class of positive systems whose output matrix has a particular form, necessary and sufficient condition is derived in terms of a set of linear matrix inequality (LMI) and linear inequalities, even if the output feedback controllers are of reduced-order and/or have structural constraints. Analogously, for the more general case, sufficient conditions of similar form are also derived and a two-stage algorithm is developed. Further extension to the synthesis problem in a different state space is also made by similar arguments. Finally, simulation is conducted that establishes the effectiveness of the proposed methods.
