具多面體不確定性之多模式奇異系統的觀測器式控制

Observer-Based Control for a Multimode Singular System with Polytopic Uncertainties

黃怡靜(Yi-Ching Huang)

指導教授 ： 李青旻

義守大學/電機資訊學院/電機工程學系/碩士(2019年)

摘要

本論文主要針對具有多面體不確定性的離散時間多模式奇異系統，探討系統的可接受性(廣義穩定性)分析與相應控制器設計問題，尤其是在受限於經費、技術現實，致使多模式奇異系統的狀態訊號無法全部被觀測的時機，也導致觀測器設計的需求，因此，發展適當的分析與設計條件，以適用於同時滿足該奇異系統下觀測器與控制器的設計要求，是本論文的主要論述與貢獻。首先，延伸發展一個既有的可接受性等效條件，使其適用於具不確定參數變動的奇異系統的分析性問題。再利用此發展的條件及分離定理，配合具受限系統等效 (r.s.e) 之各奇異系統其可接受性不變的特性，可分別針對觀測器與控制器進行設計，而能滿足整體閉迴路動態奇異系統的可接受性要求。以結果而言，本論文提供一組(嚴格)線性矩陣不等式的可接受性分析條件，以及以此條件為基礎，所發展出具模式相依的觀測器及控制器設計條件。

關鍵字

多面體不確定性 ； 多模式奇異系統 ； 觀測器式控制 ； 線性矩陣不等式

並列摘要

In this thesis, an observer-based controller design problem for a discrete-time multimode singular system with polytopic uncertainties is considered, which is based on a set of necessary and sufficient conditions in terms of linear matrix inequalities (LMIs) for an admissibility analysis problem. A proposed mode dependent observer and a controller can be designed separately via two sets of derived LMI-based synthesis conditions. In this thesis, there are two principal contributions. One is that a set of strictly LMI-based necessary and sufficient conditions for an admissibility analysis problem for a discrete-time singular system is extended to the case with polytopic uncertainties. Another is that a feasible observer and a controller can be designed independently via two sets of strictly LMI-based synthesis conditions.

並列關鍵字

Polytopic Uncertainty ； Multimode Singular Systems ； Observer-based Control ； LMI

參考文獻

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