H_infinity Control and Filtering of Two-Dimensional Systems

1. Front Matter

   Pages I-XIV

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2. Introduction

   Pages 1-4

3. Bounded Real Lemma of 2-D Discrete Systems

   Pages 5-25

4. H_∞ Control of 2-D Discrete Systems in Roesser Model

   Pages 27-41

5. Stabilization and H _∞ Control of 2-D Discrete Systems in FM LSS Model

   Pages 43-53

6. Stabilization and H _∞ Control of Uncertain 2-D Discrete Systems

   Pages 55-65

7. H_∞ Filtering of 2-D Discrete Systems Described by Roesser Model

   Pages 67-79

8. H_∞ Filtering of 2-D Discrete Systems Described by FM LSS Model

   Pages 81-98

9. H_∞ Deconvolution Filtering of 2-D Digital Systems

   Pages 99-114

10. H_∞ Model Reduction of 2-D Discrete Systems

    Pages 115-135

11. Conclusions

    Pages 137-138

12. Back Matter

    Pages 139-147

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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.

• Signal
• control
• filtering
• filters
• model
• process control
• signal processing
• stabilization
• complexity

• Data Storage Institute, Singapore, Singapore

  Chunling Du

• School of Electrical and Electronic Technological University, Singapore, Singapore

  Lihua Xie

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