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Embedded Systems - Review on continuous processes Appunti scolastici Premium

Contents:
- Modeling with differential equations;
- Taxonomy of systems;
- Solution to linear ODE;
- General solution concept;
- Simulation and numerical methods;
- State space representation;
- Stability.

Esame di Sistemi embedded docente Prof. L. Pomante

Anteprima

ESTRATTO DOCUMENTO

Techniques for autonomous systems

Embedded Systems

Techniques for non-autonomous systems

Embedded Systems

Techniques for non-autonomous systems

Example:

u(t) y(t)

1 1

t t

Embedded Systems

Contents

Modeling with differential equations

 Taxonomy of systems

 Solution to linear ODEs

 General solution concept

 Simulation and numerical methods

 State space representation

 Stability

Embedded Systems

Solution concepts

Embedded Systems

Example of weak solution

Embedded Systems

Contents

Modeling with differential equations

 Taxonomy of systems

 Solution to linear ODEs

 General solution concept

 Simulation and numerical methods

 State space representation

 Stability

Embedded Systems

Simulation methods

x[1] x[2] x(t)

x[3]

I

m

p

o

Embedded Systems

Simulation methods

Embedded Systems

Contents

Modeling with differential equations

 Taxonomy of systems

 Solution to linear ODEs

 General solution concept

 Simulation and numerical methods

 State space representation

 Stability

Embedded Systems

State space representation

One of the most important representations of linear time

invariant systems.

Embedded Systems

State space representation

Embedded Systems

Solution to state space representation

Solution:

Embedded Systems

Exact discretization of autonomous systems x[3] x(t)

x[1] x[2]

I

m t

p

o

Embedded Systems

Contents

Modeling with differential equations

 Taxonomy of systems

 Solution to linear ODEs

 General solution concept

 Simulation and numerical methods

 State space representation

 Stability

Embedded Systems

Stability of linear time invariant systems

Embedded Systems

Stability of nonlinear systems

In the following we focus on the following stability notions:

Global Asymptotic Stability (GAS)

 Input-to-State Stability (ISS)

 Incremental Global Asymptotic Stability (δ-GAS)

 Incremental Input-to-State Stability (δ-ISS)

Embedded Systems


PAGINE

38

PESO

838.66 KB

AUTORE

Atreyu

PUBBLICATO

+1 anno fa


DETTAGLI
Corso di laurea: Corso di laurea magistrale in ingegneria delle telecomunicazioni
SSD:
Università: L'Aquila - Univaq
A.A.: 2011-2012

I contenuti di questa pagina costituiscono rielaborazioni personali del Publisher Atreyu di informazioni apprese con la frequenza delle lezioni di Sistemi embedded e studio autonomo di eventuali libri di riferimento in preparazione dell'esame finale o della tesi. Non devono intendersi come materiale ufficiale dell'università L'Aquila - Univaq o del prof Pomante Luigi.

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