Studies on H∞ filtering problems for linear discrete-time systems 線形離散時間システムに対するH∞フィルタリング問題に関する研究
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著者
書誌事項
- タイトル
-
Studies on H∞ filtering problems for linear discrete-time systems
- タイトル別名
-
線形離散時間システムに対するH∞フィルタリング問題に関する研究
- 著者名
-
鷹羽, 浄嗣
- 著者別名
-
タカバ, キヨツグ
- 学位授与大学
-
京都大学
- 取得学位
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博士 (工学)
- 学位授与番号
-
乙第9265号
- 学位授与年月日
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1996-05-23
注記・抄録
博士論文
目次
- 論文目録 / (0001.jp2)
- ABSTRACT / (0005.jp2)
- Contents / p1 (0007.jp2)
- 1 Introduction / p1 (0010.jp2)
- 1.Kalman Filter and Minimax Filters / p1 (0010.jp2)
- 2.H∞ Error Criterion / p2 (0011.jp2)
- 3.H∞ Filtering Problem / p4 (0012.jp2)
- 4.Overview of the Thesis / p5 (0012.jp2)
- 2 A Model Matching Approach to H∞ Filtering Problem / p8 (0014.jp2)
- 1.Introduction / p8 (0014.jp2)
- 2.Problem Formulation / p9 (0014.jp2)
- 3. Preliminaries / p10 (0015.jp2)
- 4.Solution via (J, J')-Spectral Factorization / p13 (0016.jp2)
- 5.Structure of H∞ Filtering Problem / p19 (0019.jp2)
- 6.Solution of H∞ Prediction Problem / p22 (0021.jp2)
- 7.Concluding Remarks / p24 (0022.jp2)
- 3 H∞ Filtering with Boundary Constraints / p31 (0025.jp2)
- 1.Introduction / p31 (0025.jp2)
- 2.Problem Formulation / p32 (0026.jp2)
- 3.Boundary Constraints / p34 (0027.jp2)
- 4.Relation to Linear Function Observer Theory / p38 (0029.jp2)
- 5.Numerical Example / p40 (0030.jp2)
- 6.Concluding Remarks / p43 (0031.jp2)
- 4 H∞ Algebraic Riccati Equation and Parametrization of All H∞ Filters / p47 (0033.jp2)
- 1.Introduction / p47 (0033.jp2)
- 2.Algebraic Riccati Equation / p48 (0034.jp2)
- 3.Parametrization of All H∞ Filters / p56 (0038.jp2)
- 4.H₂/H∞ Filtering Problem / p61 (0040.jp2)
- 5.Numerical Examples / p64 (0042.jp2)
- 6.Concluding Remarks / p68 (0044.jp2)
- 5 A Game Theoretic Approach to H∞ Filtering Problem / p73 (0046.jp2)
- 1.Introduction / p73 (0046.jp2)
- 2.Problem Formulation / p74 (0047.jp2)
- 3.Necessary Conditions / p76 (0048.jp2)
- 4.Sufficient Conditions / p83 (0051.jp2)
- 5.Relation to H∞ Filtering Problem / p85 (0052.jp2)
- 6.Concluding Remarks / p87 (0053.jp2)
- 6 Performance of Central H∞ Filter, H∞ Riccati Difference Equation and H∞ Fixed-Lag Smoothing Problem / p90 (0055.jp2)
- 1.Introduction / p90 (0055.jp2)
- 2.Performance Analysis of Central H∞ Filter / p91 (0055.jp2)
- 3.Convergence of the Solution of H∞ RDE / p97 (0058.jp2)
- 4.H∞ Fixed-Lag Smoothing Problem / p99 (0059.jp2)
- 5.Numerical Example / p103 (0061.jp2)
- 6.Concluding Remarks / p106 (0063.jp2)
- 7 Stochastic Minimax Filtering Problem and Its Relation to H∞ Filtering Problem / p108 (0064.jp2)
- 1.Introduction / p108 (0064.jp2)
- 2.Stochastic Minimax Filtering Problem / p109 (0064.jp2)
- 3.Stochastic Minimax Prediction Problem / p115 (0067.jp2)
- 4.Concluding Remarks / p117 (0068.jp2)
- 8 Conclusion / p118 (0069.jp2)
