本論文研究連續時間、單一延遲、線性、非時變、正向系統之指定頻段H-infinity控制器設計問題，包括靜態輸出回授及動態輸出回授。本文考慮三個設計目標：正向特性、穩定性與指定頻段 性能。針對具不同輸出矩陣特質的系統，推導出線性矩陣不等式(linear matrix inequality, LMI)形式之充分有解條件，而且在若干情況，控制器可具指定的結構限制。相較於絕大多數合成研究聚焦於狀態回授，本論文提出創新的輸出回授設計概念、方法與成果，並且增添了指定頻段H-infinity性能的設計。最後，模擬結果證實了本文所提方法的確有效。 This paper is concerned with H-infinity output-feedback synthesis for continuous-time delay positive linear time-invariant systems in finite frequency domain. Both static and dynamic output feedbacks are considered. Closed-loop positivity, stability, and finite-frequency H-infinity performance are the design objectives under consideration. For the class of time-delay systems with different types of output matrices, sufficient solvability conditions are derived in terms of a set of linear matrix inequality (LMI). In some cases, the conditions are easily modified to deal with the case of structured controllers design. Compared to the most existing results which focus on state feedback issue, this work presents a novel output feedback design, which is technically new. Furthermore, compared to the usual design objectives in this context, i.e., closed-loop positivity and stability, an additional performance objective, finite-frequency H-infinity performance, is incorporated into the design. Finally, simulation is conducted that establishes the effectiveness of the proposed methods.
