Robust Filtering and Control of 2-D State-Delayed Systems: A Delay-Dependent Approach
| Autor: | Shyh-Feng Chen, 陳世豐 |
|---|---|
| Rok vydání: | 2006 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 94 This dissertation studies the robust filtering and control problems for two-dimensional (2-D) state-delayed systems in the Fornasini-Marchesini second model by using a delay-dependent approach. A 2-D system is one that has dynamics depending on two independent integer variables i and j. 2-D signals and systems have become more and more important in the fields like image processing, digital signal processing, and process control. The study of 2-D systems has attracted increasing attentions in recent years. A particular case of 2-D systems, 2-D state-delayed systems, can be found in many practical applications such as the material rolling process, partial difference equation modeling, and image data processing/transmission. Thus the analysis and synthesis of 2-D state-delayed systems are worthwhile investigation issues. The main focus of this research is the use of linear matrix inequality (LMI) techniques for both analysis and synthesis problems. Firstly, a computationally tractable sufficient condition for the asymptotic stability of 2-D state-delayed systems, which depend on the size of delays in both horizontal and vertical directions, are derived in terms of LMIs. Then, delay-dependent H-infinity performance and H-2 performance criteria are proposed. Based on the results, efficient methods to solve the robust H-infinity filtering, H-2 filtering, and mixed H-2/H-infinity filtering problems are developed. Differently from the quadratic stability framework, the filter design methods in this dissertation adopt the parameter-dependent Lyapunov function approach, which utilizes different Lyapunov matrices in the entire polytope domain and produces less conservative design results. Finally, the state feedback controller synthesis problem for the system is also considered. A new delay-dependent robust stability condition is derived, and used to develop a robust stabilization method. The goal is to find a state feedback controller such that the closed-loop system is robustly stable for all admissible uncertainties. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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