April 2021
Intermediate
368 pages
9h 18m
English
book
Embedded Digital Control with Microcontrollers
by Cem Unsalan, Duygun E. Barkana, H. Deniz Gurhan
Content preview from Embedded Digital Control with Microcontrollers
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6Constructing Transfer Function of a System
The first step in controlling a system is to know how it behaves for different input signals. The input output relation obtained for this purpose is called transfer function of the system as explained in detail in Chapter 4. Afterward, control methods can be applied on it. This chapter focuses on constructing the transfer function of a system. To do so, we will use two fundamental methods as mathematical modeling and system identification. Mathematical modeling is a theoretical approach in which the system structure should be known in advance. On the other hand, system identification is a more general approach which can be applied to any system. Through these two approaches, we will obtain both the continuous- and discrete-time transfer functions for the system of interest. Here, we pick the simple RC filter as an electrical system to explain the concepts in the following sections. Besides, we pick the DC motor as a more advanced electro-mechanical system at the end of chapter application. We will benefit from the extracted transfer functions here throughout the book. The reader can also apply the methods introduced in this chapter to his or her system to understand its characteristics. Hence, suitable controllers can be designed for it as will be practiced in the following chapters.
6.1 Transfer Function from Mathematical Modeling
It is mandatory to know the relation between input and output of a system to analyze and design a ...
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