臺灣博碩士論文加值系統

在本篇論文中，具乘積式雜訊之Takagi- Sugeno模糊模型用來表示所探討的非線性隨機電力系統。根據隨機建模方式，所考慮的T-S模糊模型之後件部是以Itô隨機微分方程式架構之。在考慮真實環境下操作，對於所控制系統，除了穩定性討論外，其性能要求亦是一重要的討論方向。針對此性能的要求，被動定理被用來探討外部雜訊對系統的影響。再者，針對系統之不確定性，強健性控制問題也同時被加以探討與研究。同時，我們亦提出時間延遲相關之穩定性法則，針對具有時間延遲之非線性隨機系統進行穩定性分析。此外，在狀態無法測量的情況下，模糊觀測器之設計問題也在本篇論文中加以探討。然而，由於能量傳遞的過程可能造成隨機行為的產生，進而導致電力系統成為一隨機系統，因此非線性隨機電力系統被用來證明本論文所提出設計方法有效性與可用性。基於所提出之穩定性法則，我們可以從模擬結果得知隨機電力系統透過所設計出之非線性控制器在均方根之觀念下是漸近穩定且滿足被動特性需求。

In this dissertation, the Takagi-Sugeno (T-S) fuzzy model with the multiplicative noises is used to represent the complex nonlinear stochastic system. According to stochastic modeling approach, the consequently part of concerned T-S fuzzy model is structured by Itô Stochastic Differential Equation (SDE). And for practical environment, the performance requirements are also important issues in control systems except for stability. For those issues, the effect of external disturbance on systems is discussed by passivity theory. Furthermore, the robust control problem is also investigated for the systems with uncertainties. Simultaneously, delay-dependent stability criterion is proposed for stabilizing the nonlinear stochastic systems with time-delay. Besides, under condition as unmeasurable states, a design problem for observer-based fuzzy controller is also discussed and investigated in this dissertation. Moreover, the nonlinear power systems may be leaded to be stochastic systems due to some potential stochastic behaviors during power transmissions. Thus, the stochastic power systems are provided for demonstrating the effectiveness and usefulness of proposed design method. Based on the proposed stability criteria, one can find that the stochastic power systems driven by fuzzy controller is asymptotically stable and passive in the mean square from simulation results.

Abstract I
Acronyms II
Nomenclature III
List of Tables V
List of Figures VI
Index of Chapters and Sections VIII

Chapter 1 Introduction 1
1.1 Background and Motivation 1
1.2 Review of Previous Works 5
1.3 Purpose and Contribution 9
1.4 Organization of this Dissertation 10

Chapter 2 Descriptions of Takagi-Sugeno Fuzzy Model of
Nonlinear Stochastic Systems 11
2.1 Introduction 11
2.2 Structure of Takagi-Sugeno Fuzzy Model with Multiplicative Noise 11
2.2.1. Takagi-Sugeno Fuzzy Modeling Approach 14
2.2.2. Description of Itô Stochastic Differential Equation 16
2.3 Nonlinear Stochastic Power Systems 20
2.3.1. Takagi-Sugeno Fuzzy Model with Multiplicative Noise
of Nonlinear Stochastic Single Synchronous Generator
Power System 21
2.3.2. Takagi-Sugeno Fuzzy Model with Multiplicative Noise of
Nonlinear Stochastic Three-Machines Interconnected
Power Systems 26
2.4 Summary 31

Chapter 3 Passive Fuzzy Control for Takagi-Sugeno Fuzzy Model with Multiplicative Noise 33
3.1 Introduction 33
3.2 Preliminaries and Problem Formulations 33
3.3 Passive fuzzy control for Takagi-Sugeno Fuzzy Model with Multiplicative Noise 37
3.4 Numerical Example 43
3.5 Summary 47

Chapter 4 Passive Fuzzy Control for Uncertain Takagi-Sugeno
Fuzzy Model with Multiplicative Noise 51
4.1 Introduction 51
4.2 Preliminaries and Problem Formulations 51
4.3 Passive fuzzy controller for Uncertain Takagi-Sugeno Fuzzy Model with Multiplicative Noise 55
4.4 Numerical Example 64
4.5 Summary 67

Chapter 5 Passive Fuzzy Control for Time-Delay Takagi-Sugeno
Fuzzy Model with Multiplicative Noise 70
5.1 Introduction 70
5.2 Preliminaries and Problem Formulations 70
5.3 Passive Fuzzy Control for Time-Delay Takagi-Sugeno
Fuzzy Model with Multiplicative Noise 74
5.4 Numerical Example 88
5.5 Summary 90

Chapter 6 Passive Fuzzy Control for Uncertain Time-Delay
Takagi-Sugeno Fuzzy Model with Multiplicative
Noise 95
6.1 Introduction 95
6.2 Preliminaries and Problem Formulations 96
6.3 Passive Fuzzy Control for Uncertain Time-Delay Takagi
-Sugeno Fuzzy Model with Multiplicative Noise 99
6.4 Numerical Example 121
6.5 Summary 124

Chapter 7 Observer-Based Passive Fuzzy Control for Uncertain
Time-Delay Takagi-Sugeno Fuzzy Model with
Multiplicative Noise 127
7.1 Introduction 127
7.2 Preliminaries and Problem Formulations 128
7.3 Observer-Based Passive Fuzzy Control for Uncertain Time
-Delay Takagi-Sugeno Fuzzy Model with Multiplicative
Noise 132
7.4 Numerical Example 149
7.5 Summary 155

Chapter 8 Conclusions and Suggestion of Future Works 158
8.1 Conclusions 158
8.2 Suggestion of Future Works 160

Appendix 161
Bibliography 177
Publications 184

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