在過去的研究中，一般常用感應馬達的穩態響應等效電路來做模擬，但其卻忽略了暫態響應的部分，常導致當負載等外在因素改變時，使得模擬結果與時際狀態產生了誤差。故本研究提出以非線性控制與非線性函數來求出較為精確的轉移函數，不僅符合穩態響應的性能表現，也能逼近暫態響應。在研究步驟中，首先要建立一個接近於實際系統的數學模型，再利用此模型之輸入與輸出關係來做系統鑑別。為了要得知感應馬達的非線性特性，以便求得更精確的數學模型來進行控制器設計，本研究採用非線性控制設計法NCD (Nonlinear Control Design)來進行非線性部分的誤差逼近，以求出較精準的非線性轉移函數。本研究所提出方法透過模擬驗證顯示，其誤差均可達到所預期的範圍內。

According to the recent studies knows that the induction motors are difficult to be simulated precisely through the equivalend circuit of a steady-state response without including a transient one. This study will explore calculation of the precise transfer function of nonlinear control and nonlinear function, which can both cope with the steady-state response performance as well as approximate the transient response. Here, the first step is to set up a methematic model based on a real system. Second, through the Nonlinear Control Desicn (NCD) to acquire the nonlinear characteristics of the mathematically and use the identified data based on the given inputs and outputs to simulate the induction motor. These approaches are helpful to design the relative controllers for back up the system stability. The nonlinear parts are explored by using the noninear function to approximate the NCD error to achieve a more precise transfer function while keeping simulation errors within an acceptable fange.