臺灣博碩士論文加值系統

本論文將考慮一類Neutral系統基於觀測器控制之設計。首先，文中針對Neutral系統，採用Lyapunov泛函理論作為穩定性的分析法則，並分別提出與單一時間延遲相關或無關可穩化的準則來保證此類線性迴授控制系統之漸進穩定性；然後，再利用線性矩陣不等式(LMI)這個有效的求解工具，來分別設計系統的觀測器與控制器。其次，本文也將分別提出針對Neutral系統之多重時間延遲相關或無關穩定化的準則來保證此類線性迴授控制系統之漸進穩定性，並分別設計此類系統的觀測器與控制器。最後，本文將針對Neutral系統之保證代價值基於觀測器控制之設計，並提出與單一時間延遲無關可穩化的準則來保證此類線性迴授控制系統之漸進穩定性，再利用線性矩陣不等式法則，同時設計出此系統的觀測器與控制器增益。此外，文中也將提出一些數值範例與電腦模擬來說明本文的主要結果。

In this dissertation, the stabilization problem and observer-based control of neutral systems are investigated. Firstly, the Lyapunov functional theory is used to guarantee the stability of the system under consideration. The delay-dependent and the delay-independent stabilization criteria are proposed to guarantee asymptotic stability for the neutral systems via linear control. Linear matrix inequality (LMI) approach is used to design the observer and the controller. Secondly, by using the same techniques, we will provide an observer-based controller design method. The delay-dependent and the delay-independent stabilization criteria are proposed to guarantee asymptotic stability for the neutral systems with multiple time delays. Finally, a guaranteed-cost observer-based control for the neutral systems is considered. The analysis is also based on Lyapunov functional so as to establish an upper bound on the closed-loop value of a quadratic cost function. Delay-independent stabilization criterion is proposed to guarantee asymptotic stability for the neutral systems via linear control. By using the LMI approach, we will provide a criterion to design the observer gain and the controller gain simultaneously. Some examples and computer simulation results will also be provided to illustrate our main results.

誌謝 i
摘要 iii
ABSTRACT iv
NOMENCLATURE v
CHAPTER 1 INTRODUCTION 1
1.1 Motivation ………………………………………………….. 1
1.2 Brief Sketch of the Contents ………………………….…….. 5
CHAPTER 2 MATHEMATICAL PRELIMINARIES 7
2.1 Some Definitions …………………………………………… 7
2.2 Preliminary Lemmas ……………………………………….. 8
CHAPTER 3 OBSERVER-BASED CONTROL DESIGN OF NEUTRAL SYSTEMS WITH SINGLE TIME DELAY 11
3.1 Introduction …………………………………………....…... 11
3.2 Delay-dependent Observer-based Control Design of Neutral Systems with Single Time Delay…………………………… 13
3.3 Delay-independent Observer-based Control Design of Neutral Systems with Single Time Delay............................... 26
CHAPTER 4 OBSERVER-BASED CONTROL DESIGN OF NEUTRAL SYSTEMS WITH MULTIPLE TIME DELAYS 36
4.1 Introduction …………………………………………….….. 36
4.2 Delay-dependent Observer-based Control Design for a Class of Neutral Systems with Multiple Time Delays…………… 38
4.3 Delay-independent Observer-based Control Design for a Class of Neutral Systems with Multiple Time Delays…….. 51
CHAPTER 5 GUARANTEED-COST OBSERVER-BASED CONTROL DESIGN OF NEUTRAL SYSTEMS 64
5.1 Introduction ……………………………………………….. 64
5.2 Guaranteed-cost Delay-independent Observer-based Control Design of Neutral Systems with Single Time Delay………. 66
CHAPTER 6 CONCLUSIONS AND DISCUSSIONS 75
REFERENCES 81

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