多目標靜態輸出回授控制設計

Multiobjective Static Output Feedback Control Design

黃蘊馨(Iun-Shing Huang)

指導教授 ： 周永山

淡江大學/工學院/電機工程學系碩士班/碩士(2019年)

https://doi.org/10.6846/TKU.2019.00728

摘要

控制工程問題通常考慮設計一個控制器使系統兼具多個性能，這是控制領域廣為討論的議題，此即所謂多目標控制。C.W. Scherer 等人針對動態輸出回授(dynamic output feedback, DOF)控制器提出了一套非常傑出的多目標控制解法，其條件為線性矩陣不等式(linear matrix inequality, LMI)形式，可運用數值軟體有效求解。相較之下，靜態輸出回授(static output feedback, SOF)控制器容易實現，然而迄今尚未有類似的通用解法。
本論文延續近期一連續時線性非時變系統的新型靜態輸出回授合成方法，探討離散時間系統的 H-infinity 靜態輸出回授設計問題，並將此方法推廣至其他問題，如 H2性能控制、區域極點配置(regional pole placement)控制。末了，本論文將提出數值例子，模擬驗證所提方法之效能。

關鍵字

多目標控制 ； 靜態輸出回授 ； 線性矩陣不等式

並列摘要

Control problems often consider the design of a controller such that the closed-loop system has certain desired properties. This has been a hot issue in the control field, which is called multi-objective control. An outstanding method for dynamic output feedback controller synthesis on this subject was provided by C. W. Scherer et al. The solvability conditions are in terms of linear matrix inequalities (LMIs), which can be efficiently solved by available software. In comparison, there lacks such a unified approach for static output feedback (SOF) synthesis, though the implementation of SOF is simpler.
By following a new approach to SOF synthesis for continuous-time linear time-invariant systems, this thesis considers the problem of designing H-infinity SOF for discrete-time systems. Extension is made to the synthesis problems of other control performances, such as H2 control and regional pole placement. Finally, numerical example is given that establishes the effectiveness of the proposed method.

並列關鍵字

multi-objective control ； static output feedback (SOF) ； linear matrix inequality (LMI)

參考文獻

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