Abstract
This chapter focuses on constructing the transfer function of a system. It utilizes two fundamental methods as mathematical modeling and system identification. Differential equation representing the system should be solved to obtain its output for a given input. Although mathematical modeling can be used in some applications, it depends on the differential equation representing the system. The chapter also focuses on system identification in time domain and introduces the frequency domain approach. System identification is basically an iterative trial and error approach. System identification can be performed in frequency domain as well besides time domain. The only difference between the time and frequency domain approaches is the used input signals and the selected candidate transfer function representations. The MATLAB interface can be used in system identification in frequency domain. The STM32 microcontroller is a perfect candidate for obtaining the input and output signals from the actual system.
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