本論文提出一個使用T-S模糊小腦模型控制調節DC-DC升降壓轉換器之輸出電壓。模糊和非線性系統控制是我們實現升降壓轉換器的主要理論。設計T-S模糊小腦控制的靈感來自於PDC設計控制增益和權重值成一個單一的向量擴充與T-S模糊和小腦模型控制的相似, 最後將穩定性分析的問題轉換成線性矩陣不等式(LMIs)的型式並且用Matlab去求解。這種控制方法有三方面的優勢
(1)小腦模型控制提高了初始權重的準確性-小腦模型控制的權重使用來自於PDC設計的LMI解出的控制增益。(2)放寬對系統不確定性的假設-我們放棄去假設一個系統不確定性嚴格上限為已知。(3)基於LMI設計加入了適應能力,讓小腦模型控制允許時變參數在系統中。

We propose a output voltage regulation for DC-DC Buck-Boost converter using Takagi-Sugeno fuzzy cerebellar model articulation control (T-S CMAC). The T-S CMAC design is inspired by the structure similarity of the T-S fuzzy and CMAC where the parallel distributed compensation (PDC) to design control gains and weighting parameter are augmented into a single vector. The stability analysis and controller synthesis are then systematically formulated into linear matrix inequalities (LMIs) and using matlab to solved. The advantages of this approach are three fold, i) increasing accuracy of CMAC initial weights-we assign the initial weights of CMAC using the control gains solved by the LMIs from the PDC design; and ii) relaxes assumption on system uncertainty – we give up the assumption that a strict upper bound on system uncertainly is known, iii) introduces adaptive ability in LMI-based design –lead the CMAC design allows time-varying parameters in the system.

Abstract in Chinese  I
Abstract in English  II
Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . III
List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . V
List of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . VII
1 INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.1 Research Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.1.1 Definition and principle of various types of converter . . . . . . . . . . 1
1.1.2 Linear matrix inequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3
1.1.3 Fuzzy system . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
1.1.4 Cerebellar model articulation controller with T-S fuzzy model . . . .5
1.2 Literature Review . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
1.3 Problem Formulation and Motivations . . . . . . . . . . . . . . . . . . . . . . . .14
1.4 Organization of Thesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2 DC-DC BUCK-BOOST CONVERTER MATHEMATICAL MODEL . . . . . . . . .15
2.1 DC-DC Buck-Boost Converter Structure . . . . . . . . . . . . . . . . . . . . . . . 16
2.2 Mathematical Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17
2.2.1 Averaging method of one time scale discontinuous system . . . . . 17
2.2.2 DC-DC Buck-Boost converter maths model . . . . . . . . . . . . . . . . . . . 18
3 TAKAGI-SUGENO FUZZY CEREBELLAR MODEL ARTICULAI
TION CONTROLLER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
3.1 Nominal Tracking Controller . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
3.2 Overall Controller Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
4 NUMERICAL SIMULATIONS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
4.1 DC-DC Buck-Boost Converter Component Design . . . . . . . . . . . . . . . .30
4.1.1 Inductor section . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32
4.1.2 Capacitor section . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
4.2 DC-DC Buck-Boost Converter Simulations . . . . . . . . . . . . . . . . . . . . . . 35
4.2.1 Example 1 (Varying load) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35
4.2.2 Example 2 (Reference voltage variation test) . . . . . . . . . . . . . . . . . . 37
5 PRACTICAL EXPERIMENTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
5.1 Experiment Environment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
5.2 Experiment Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
6 CONCLUSIONS AND FUTURE WORKS . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
6.1 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44
6.2 Future Works . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46

List of Figures
1.1 Buck converter circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.2 Boost converter circuit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3
1.3 CMAC basic structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .6
1.4 CMAC separate each input to each memory region . . . . . . . . . . . . . . . 6
1.5 CMAC structure with T-S fuzzy model . . . . . . . . . . . . . . . . . . . . . . . . . . 8
2.1 System structure of DC-DC Buck-Boost Converter . . . . . . . . . . . . . . . . .16
2.2 MOSFET turn-on condition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18
2.3 MOSFET turn-off condition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19
4.1 Boundary condition at DC-DC Buck-Boost Converter’s CCM/DCM . . . . .32
4.2 capacitor volatge ripple at DC-DC Buck-Boost Converter’s CCM condition 34
4.3 Output Voltage when Vref = 8v, RLoad = 30Ω. . . . . . . . . . . . . . . . . . . . . .36
4.4 Output Voltage when Vref = 8v, RLoad = 50Ω. . . . . . . . . . . . . . . . . . . . . . 36
4.5 Output Voltage when Vref = 8v, RLoad = 50Ω. . . . . . . . . . . . . . . . . . . .. . .38
4.6 Output Voltage when Vref = 25v, RLoad = 50Ω. . . . . . . . . . . . . . . . . . . . .38
5.1 System structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
5.2 DSP card . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40
5.3 DSP I/O box . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
5.4 TDS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 41
5.5 Power supply . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
5.6 Output Voltage when Vin = 15v, Vref = 8v. . . . . . . . . . . . . . . . . . . . . . . . . .43

List of Tables
2.1 Definition of mathematical symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
4.1 Definition of mathematical symbols . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
4.2 Parameter of varying load of Buck-Boost converter . . . . . . . . . . . . . . . . . 35
4.3 Parameter of reference voltage variation of Buck-Boost converter . . . . . 37
5.1 Parameter of experiment results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43

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