Category: Control theory

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 […]

This article deals with a simple differentiator circuit, using an operational amplifier. Your browser does not support SVG  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 […]

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. Your browser does not support SVG  Using the voltage divider formula, we can write: If […]

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 […]