Lecture

Linear Systems in Sinusoidal Regime

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In course

EE-282: Initiation to electronics

Présentation des principaux composants de base de l'électroniques. Analyse de circuits à base d'amplificateurs opérationnels. Introduction aux circuits logiques élémentaires. Principe de la conversion Analogique-Numérique. Modèles simplifiés des transistor ...

Description

This lecture covers the analysis of linear systems in sinusoidal regime, focusing on frequency response and transfer functions. It explains how the system responds to sinusoidal inputs, discussing amplitude, phase, and stability criteria. The lecture also delves into the concept of linear electric quadripoles and their transfer functions, emphasizing the importance of specifying the load. Additionally, it explores the construction of Bode diagrams to represent the frequency response of cascaded quadripoles, providing insights into gain and phase relationships.

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Official source

Ontological neighbourhood

Information engineering

Control theory and engineering: Control theory

Related concepts (32)

Transfer function

In engineering, a transfer function (also known as system function or network function) of a system, sub-system, or component is a mathematical function that models the system's output for each possible input. They are widely used in electronic engineering tools like circuit simulators and control systems. In some simple cases, this function can be represented as two-dimensional graph of an independent scalar input versus the dependent scalar output, called a transfer curve or characteristic curve.

Frequency response

In signal processing and electronics, the frequency response of a system is the quantitative measure of the magnitude and phase of the output as a function of input frequency. The frequency response is widely used in the design and analysis of systems, such as audio and control systems, where they simplify mathematical analysis by converting governing differential equations into algebraic equations.

Linear system

In systems theory, a linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that are much simpler than the nonlinear case. As a mathematical abstraction or idealization, linear systems find important applications in automatic control theory, signal processing, and telecommunications. For example, the propagation medium for wireless communication systems can often be modeled by linear systems.

Bode plot

In electrical engineering and control theory, a Bode plot ˈboʊdi is a graph of the frequency response of a system. It is usually a combination of a Bode magnitude plot, expressing the magnitude (usually in decibels) of the frequency response, and a Bode phase plot, expressing the phase shift. As originally conceived by Hendrik Wade Bode in the 1930s, the plot is an asymptotic approximation of the frequency response, using straight line segments.

Step response

The step response of a system in a given initial state consists of the time evolution of its outputs when its control inputs are Heaviside step functions. In electronic engineering and control theory, step response is the time behaviour of the outputs of a general system when its inputs change from zero to one in a very short time. The concept can be extended to the abstract mathematical notion of a dynamical system using an evolution parameter.

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