雙線性系統之控制設計

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姓名

郭毓娟(Yu-Jung Guo) 查詢紙本館藏

畢業系所

機械工程學系

論文名稱

雙線性系統之控制設計
(Stabilizing Controllers for Bilinear System)

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摘要(中)

本篇論文研究對於連續雙線性系統的控制器設計。我們提出的控制器設計分成兩大類來討論：第一類是GSAS控制，在我們的設計下，雙線性系統透過此類控制可以達到漸進穩定；第二類是指數控制，透過此類的控制雙線性系統可以達到指數穩定。而這兩類的控制器我們分別以非連續性、連續性、平滑性三種控制形態來討論。

關鍵字(中)

★ 雙線性系統
★ 控制器設計
★ 漸進穩定
★ 指數穩定

關鍵字(英)

論文目次

Content
Figure List……………………………………………………………. ...V
Abstract……………………………………………………………………VII
1 Introduction………………………………………………………………1
2 The Reachability of Dyadic Bilinear Systems………………………3
2.1 The Concerned system…………………………………………………4
2.2 The Reachability of Dyadic Bilinear Systems……………………5
2.2.1 Introduction……………………………………………………...5
2.2.2 Preliminaries………………………………………………….…6
2.2.3 Reachability of Dyadic Bilinear Systems……………………9
2.2.4 Conclusion…………………………………………………….13
3 GSAS Control Laws……………………………………………………..14
3.1 Discontinuously GSAS Control.…………..……………………..14
3.1.1 Control Law…………………………………………………..…14
3.1.2 Stability Analysis……………………………………………15
3.1.3 Example Simulation………………………..…………………19
3.2 Continuously GSAS Control….……………………………..………21
3.2.1 Control Law…………………………………..………………..21
3.2.2 Stability Analysis……………………………………………..21
3.2.3 Example Simulation……………………………..…………..26
3.3 Smoothly GSAS Control.…………………...…………….…………28
3.3.1 Control Law………………………………………………..……28
3.3.2 Stability Analysis…………….………………………………28
3.3.3 Example Simulation……………………………….………….30
4 Exponential Control Laws………………………………………..….32
4.1 Discontinuously Exponential Control...……...…………..…32
4.1.1 Control Law………………………………………..…………..32
4.1.2 Stability Analysis…………………………...……………….33
4.1.3 Example Simulation……………………………………...…….38
4.2 Continuously Exponential Control….…………………….…....40
4.2.1 Control Law…………………………………………..……..40
4.2.2 Stability Analysis……………………..………………….….40
4.2.3 Example Simulation…………………………………………..42
4.3 Smoothly Exponential Control...……………..….…………...44
4.3.1 Control Law………………………………………………..…..44
4.3.2 Stability Analysis………………………………………………45
4.3.3 Example Simulation………………………..……………………47
5 Conclusion…………………………………………………..…………..49
Simulation Results……………………………………..…………………50
Reference……………………………………………..…………………..83

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指導教授

黃衍任(Yean-Ren Hwang)

審核日期

2000-6-29

推文