H ∞ Control and Filtering of Two-dimensional Systems

✍ Scribed by Chunling Du, Lihua Xie

• Publisher: Springer
• Year: 2002
• Tongue: English
• Leaves: 152
• Series: Lecture Notes in Control and Information Sciences 278
• Edition: 1st
• Category: Library

✦ Synopsis

Over the past decades a considerable interest has been concentrated on problems involving signals and systems that depend on more than one variable. 2-D signals and systems have been studied in relation to several modern engineering fields such as process control, multidimensional digital filtering, image enhancement, image deblurring, signal processing etc. Among the major results developed so far, 2-D digital filters are investigated as a description in frequency domain or as a convolution of the input and the unit response, which has a great potential for practical applications in 2-D image and signal processing. This monograph aims to address several problems of control and filtering of 2-D discrete systems. Specifically the problems of Hinfinity filtering, Hinfinity control, stabilization, Hinfinity model reduction as well as Hinfinity deconvolution filtering of 2-D linear discrete systems are treated.

✦ Table of Contents

Introduction....Pages 1-4
Bounded Real Lemma of 2-D Discrete Systems....Pages 5-25
H ∞ Control of 2-D Discrete Systems in Roesser Model....Pages 27-41
Stabilization and H ∞ Control of 2-D Discrete Systems in FM LSS Model....Pages 43-53
Stabilization and H ∞ Control of Uncertain 2-D Discrete Systems....Pages 55-65
H ∞ Filtering of 2-D Discrete Systems Described by Roesser Model....Pages 67-79
H ∞ Filtering of 2-D Discrete Systems Described by FM LSS Model....Pages 81-98
H ∞ Deconvolution Filtering of 2-D Digital Systems....Pages 99-114
H ∞ Model Reduction of 2-D Discrete Systems....Pages 115-135
Conclusions....Pages 137-138

✦ Subjects

Systems and Information Theory in Engineering;Control Engineering;Signal, Image and Speech Processing;Vibration, Dynamical Systems, Control;Systems Theory, Control