Multiobjective control design based on geometric structure of the controller 制御器の幾何学的構造に基づく多目的制御系設計
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著者
書誌事項
- タイトル
-
Multiobjective control design based on geometric structure of the controller
- タイトル別名
-
制御器の幾何学的構造に基づく多目的制御系設計
- 著者名
-
下村, 卓
- 著者別名
-
シモムラ, タカシ
- 学位授与大学
-
大阪大学
- 取得学位
-
博士(工学)
- 学位授与番号
-
乙第7610号
- 学位授与年月日
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1998-10-14
注記・抄録
博士論文
目次
- Contents / p5 (0004.jp2)
- Abstract / p9 (0006.jp2)
- 1 Introduction / p1 (0007.jp2)
- 1.1 Overview / p1 (0007.jp2)
- 1.2 Perspectives / p3 (0008.jp2)
- 1.3 Notations / p4 (0009.jp2)
- 1.4 Organization / p4 (0009.jp2)
- 2 Generalization of the ILQ Regulator Design Method / p7 (0010.jp2)
- 2.1 Foreword / p7 (0010.jp2)
- 2.2 Problem Formulation / p9 (0011.jp2)
- 2.3 Basic Results of the ILQ Regulator with Some New Results / p11 (0012.jp2)
- 2.4 Generalized ILQ Regulator with Robustness / p15 (0014.jp2)
- 2.5 Non-Minimum Phase Plants / p24 (0019.jp2)
- 2.6 Synthesis of Optimal Servo Systems via Generalized ILQ Design / p26 (0020.jp2)
- 2.7 Numerical Example / p27 (0020.jp2)
- 2.8 Summary / p32 (0023.jp2)
- 3 Subspace Controller Design to the Mixed H₂/H∞ Synthesis with Uncommon LMI Solutions / p35 (0024.jp2)
- 3.1 Foreword / p35 (0024.jp2)
- 3.2 Problem Formulation / p36 (0025.jp2)
- 3.3 Preliminaries / p37 (0025.jp2)
- 3.4 Concept of Uncommon Solutions / p40 (0027.jp2)
- 3.5 Parametrizations of P,R, and K / p41 (0027.jp2)
- 3.6 Geometric Structure of P,R, and K / p41 (0027.jp2)
- 3.7 State Transformation / p42 (0028.jp2)
- 3.8 Deduction of the H∞ Controller / p42 (0028.jp2)
- 3.9 Subspace Controller Design / p44 (0029.jp2)
- 3.10 Jointly Convex H₂/H∞ Formula / p47 (0030.jp2)
- 3.11 Design Procedure / p48 (0031.jp2)
- 3.12 Numerical Example / p49 (0031.jp2)
- 3.13 New Interpretation / p57 (0035.jp2)
- 3.14 Summary / p62 (0038.jp2)
- 4 Synthesis of Simultaneous Strictly Positive Real H₂ Controllers from the Viewpoint of the Inverse Problem / p63 (0038.jp2)
- 4.1 Foreword / p63 (0038.jp2)
- 4.2 Problem Formulation / p65 (0039.jp2)
- 4.3 Preliminaries / p67 (0040.jp2)
- 4.4 Inverse Optimality / p69 (0041.jp2)
- 4.5 Parametrizations of K, L for H₂ Optimality / p70 (0042.jp2)
- 4.6 Parametrization of K for SPR / p71 (0042.jp2)
- 4.7 Simultaneous SPR/H₂ Controllers / p72 (0043.jp2)
- 4.8 A Class to Achieve LTR / p81 (0047.jp2)
- 4.9 SPR-Constrained H₂-Cost Minimization / p85 (0049.jp2)
- 4.10 Numerical Example / p86 (0050.jp2)
- 4.11 Summary / p92 (0053.jp2)
- 5 Strictly-Positive-Real-Constrained H₂ Controllers with Uncommon LMI solutions / p95 (0054.jp2)
- 5.1 Foreword / p95 (0054.jp2)
- 5.2 Problem Formulation / p97 (0055.jp2)
- 5.3 Preliminaries / p97 (0055.jp2)
- 5.4 Parametrization of SPR-Constrained H₂ Controllers / p98 (0056.jp2)
- 5.5 Jointly Convex LMI formulas for SPR/H₂ Controllers / p102 (0058.jp2)
- 5.6 Numerical Example / p103 (0058.jp2)
- 5.7 Summary / p104 (0059.jp2)
- 6 Conclusions / p105 (0059.jp2)
- 6.1 Contributions / p105 (0059.jp2)
- 6.2 Future Research / p107 (0060.jp2)
- Appendices / p109 (0061.jp2)
- A Proofs of Lemmas 2.5 and 2.6 / p109 (0061.jp2)
- A.1 Proof of Lemma 2.5 / p109 (0061.jp2)
- A.2 Proof of Lemma 2.6 / p110 (0062.jp2)
- B I/O transformation matrix V₂ in Section 4.3.3 / p111 (0062.jp2)
- Bibliography / p113 (0063.jp2)
- Publications / p121 (0067.jp2)