H[infinity] control and filtering of two-dimensional systems

✍ Scribed by 謝, 麗華. ; Chunling Du; Lihua Xie

Publisher: Springer
Year: 2002
Tongue: English
Leaves: 131
Series: Engineering online library.; Lecture notes in control and information sciences, 278
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

cover-image-medium.jpg......Page 1
Overview......Page 2
Outline of the Monograph......Page 4
Background References......Page 5
State-Space Models......Page 6
Relationships Between tne Models......Page 8
Stability of 2-D LSS Model......Page 9
Bounded Real Lemma of 2-D Roesser Model......Page 11
Bounded Real Lemma of 2-D FM LSS Model......Page 16
Finite Horizon Case......Page 18
Infinite Horizon Case......Page 21
Conclusion......Page 26
H_infinity Control of 2-D Systems in Roesser Model......Page 27
Robust Stabilization of 2-D Systems......Page 33
H_infinity Control of a Thermal Process......Page 36
Robust Stabilization of a Process in Darboux Equation......Page 38
Conclusion......Page 41
Output Feedback Stabilization of FM LSS Model......Page 42
H_infinity Control of FM LSS Model......Page 45
Examples......Page 48
Conclusion......Page 52
Robust Stabilization of FM LSS Model......Page 53
Robust H_infinity Control of FM LSS Model......Page 56
Application Examples......Page 60
Conclusions......Page 63
Observer-Based 2-D H_infinity Filter Design......Page 64
Riccati Inequality Approach......Page 66
LMI Approach......Page 67
Design of 2-D H_infinity Filter of General Form......Page 68
A Numerical Example......Page 74
Conclusions......Page 76
Finite Horizon H_infinity Filtering of 2-D Discrete Systems......Page 77
Infinite Horizon 2-D H_infinity Filtering via a Riccati Inequality Approach......Page 81
Infinite Horizon 2-D H_infinity Filtering via an LMI Approach......Page 82
Design of Infinite Horizon 2-D H_infinity Filter of General Form......Page 84
Numerical Examples......Page 87
Conclusion......Page 94
Problem Formulation and Preliminaries......Page 95
H_infinity Deconvolution Filter Design......Page 97
Robust H_infinity Deconvolution Filter Design......Page 98
Example......Page 105
Conclusion......Page 110
Problem Formulation and Preliminaries......Page 111
H_infinity Model Reduction......Page 113
Computational Techniques for 2-D H_infinity Model Reduction......Page 119
Numerical Examples......Page 121
Conclusions......Page 131

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