Category: Control Theory

The Bode canonical form is a widely used representation of the transfer function. One of the main reasons is that, using the parameters contained in the formula, drawing a graphical representation of the transfer function, in the frequency domain, becomes particularly easy. The parameters that appear in the formula have a physical meaning that can […]

This article refers to the analysis of a simple low pass filter. The circuit is made of a resistor and capacitor, connected in series. In order to keep things simple, the calculations will be carried out in the Laplace domain.   Using the voltage divider formula, we can write: If the formula is simplified and […]

This article deals with a simple differentiator circuit, using an operational amplifier.   If we use the generic formula of the transfer function of a generic operational inverting amplifier, we can write: Where is the feedback impedance, while is the impedance connected to the input. The transfer function has just one zero in the origin […]

In this article, a resonant RLC circuit will be analyzed. This circuit contains a capacitor and an inductor that continuously exchange their energy with one another. As a result this kind of device can manifest an oscillator behaviour and its transfer function includes a second order factor in the denominator. Another interesting feature of this […]

In this article, we will deal with a simple high pass filter, made using a capacitor and a resistor, connected in series. We already saw something similar in the article about a RC circuit, but this time the output voltage will be measured on the resistor instead of the capacitor. Obviously the circuit will behave […]