### 博碩士論文 953203064 詳細資訊

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(Dissipative Filtering-Polya's theorem)

 ★ 強健性扇形區域穩定範圍之比較 ★ 模糊系統混模強健控制 ★ T-S模糊模型之建構、強健穩定分析與H2/H∞控制 ★ 廣義H2模糊控制-連續系統 線性分式轉換法 ★ 廣義模糊控制-離散系統 線性分式轉換法 ★ H∞模糊控制－連續系統 線性分式轉換法 ★ H∞模糊控制—離散系統 線性分式轉換法 ★ 強健模糊動態輸出回饋控制-Circle 與 Popov 定理 ★ 強健模糊觀測狀態回饋控制-Circle與Popov定理 ★ H_infinity 取樣模糊系統的觀測型控制 ★ H∞取樣模糊系統控制與觀測定理 ★ H-ihfinity取樣模糊系統動態輸出回饋控制 ★ H∞模糊系統控制-多凸面法 ★ H∞模糊系統控制-寬鬆變數法 ★ 時間延遲 T-S 模糊系統之強健 H2/H(Infinity) 控制與估測 ★ 寬鬆耗散性模糊控制-波雅定理

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continuous- and discrete-time fuzzy filtering error systems treated in a unified manner.
A premise-dependent HPPD gain (i.e., grade of membership, μ) is considered.
The stabilization and performance analysis is performed on the basis of dissipativity,
here stated using LMI to profit from the advantage of convex optimization.
Using Pólya’’s theorem, we can see the reduction of conservative, such that the performance get more and more better.
It is shown, via theoretical analysis and numerical simulations, that our results are much
less conservative via Pólya’’s theorem.

★ 耗散性
★ 估測器

★ dissipative
★ filter

1.1文獻回顧 ························· 1
1.2研究動機 ························· 3
1.3論文結構 ························· 3
1.4符號標記 ························· 4
1.5預備定理 ························· 4

2.1系統的數學模型 ····················· 6
2.2估測器的數學模型 ···················· 7
2.2.1 Case A :獨立於估測的狀態變數 ··········· 8
2.2.2 Case B :相依於估測的狀態變數 ··········· 13

3.1耗散性定義 ······················· 15
3.2 CaseA :獨立於估測的狀態變數 ············ 18
3.2.1連續系統 ······················· 18
3.2.2離散系統 ······················· 22
3.3 CaseB :相依於估測的狀態變數 ············ 24
3.3.1連續系統 ······················· 24
3.3.2離散系統 ······················· 27

4.1 Case A連續例子 ···················· 30
4.1.1估測器設計與求解-連續系統(CaseA) ········ 33
4.2 Case B離散例子 ···················· 38
4.2.1估測器設計與求解-離散系統 (Case B) ······· 39

5.1波雅定理 ························· 46
5.2 CaseA :獨立於估測的狀態變數 ············ 48
5.2.1連續系統 ······················· 48
5.2.2離散系統 ······················· 51
5.3 CaseB :相依於估測的狀態變數 ············ 53
5.3.1連續系統 ······················· 53
5.3.2離散系統 ······················· 55

6.1 Case A離散例子 ···················· 58
6.1.1估測器設計與求解-離散系統(CaseA)········· 59
6.2 Case B離散例子 ···················· 60
6.2.1估測器求解-離散系統 (Case B) ············ 60

7.1總結 ··························· 62
7.2未來研究 ························· 63

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