| Summary: | 碩士 === 國立中正大學 === 電機工程研究所 === 104 === In this thesis, the interval type-2 (IT2) Takagi-Sugeno (T-S) fuzzy control system is applied to a 2kW single-phase bidirectional inverter, which operates on grid-connection mode and rectification mode. At first, the state-space equation of the single phase bidirectional inverter is derived, and an integrator is added to the IT2 T-S fuzzy control system. The state variable of the integration of error is added to the state-space model. The fuzzy membership functions of the premise variable represent the interval type-2 fuzzy set, and formulate the IT2 T-S fuzzy model. The IT2 T-S fuzzy model together with T-S Fuzzy controller to found the IT2 T-S fuzzy closed-loop control system. Secondly, according to the Lyapunov stability theorem, the systems stability of four conditions are proposed. The conditions are both descried by the form of linear matrix inequality (LMI) to solve the LMI stability conditions to obtain the control gain. Theorem 1 is the H∞ performance stability theorem of the IT2 T-S fuzzy control system. By using the H∞ performance, the diode bias term of the IT2 T-S fuzzy control system is eliminated. Theorem 2 is the stability theorem of the robust stability of the IT2 T-S fuzzy control system. Theorem 2 can resist the model uncertainty of the system dynamics. In addition, by adopting the Non Parallel Distributed Compensation (Non-PDC), we can design the fuzzy systems, and reduce the amount of controllers. Theorem 3 is the H∞ performance stability theorem of the Non-PDC IT2 T-S fuzzy control system. Theorem 4 is the stability theorem of the robust Non-PDC IT2 T-S fuzzy control system. The advantage of the Non-PDC fuzzy control system is in reducing the rule of the fuzzy controllers and the difficulty of obtaining the control gain, saving the operation time of the microprocessor, and saving the cost of the microprocessor. Finally, based on the operation of grid-connection mode and rectification mode, comparison among IT2 T-S fuzzy control, Non-PDC IT2 T-S fuzzy control and Division-Summation control can be observed from the simulated and experimental results. The superiority of the single-phase bidirectional inverter with the robust IT2 T-S fuzzy control will be proved via the results.
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