# Modeling (Dynamics)

A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modeling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, chemistry) and engineering disciplines (such as computer science, electrical engineering), as well as in non-physical systems such as the social sciences (such as economics, psychology, sociology, political science). Mathematical models are also used in music, linguistics and philosophy (for example, intensively in analytic philosophy).

from Mathematical Model - Wikipedia

This topic includes the following resources and journeys:

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28 items

## ITCLI: An Interactive Tool for Closed-Loop Identification

Intermediate
App
Application

The Interactive Tool for Closed-Loop Identification (ITCLI) is an interactive software tool for understanding SISO closed-loop identification using prediction-error techniques. The tool...

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## DC Motor Speed: System Modeling

Beginner
Project
Theory

This examples walks through modeling a simple DC motor in MATLAB.

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## What Are Dynamic Models? Chapter 1 from Dynamic Models in Biology

Beginner
Book
Theory

Throughout this book we use a wide-ranging set of case studies to illustrate different aspects of models and modeling. In this introductory chapter we describe and give examples of different...

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## Modeling Physical Systems, An Overview

7 min
Beginner
Video
Theory

This video sets the stage for the topics that I want to cover over the next month or two. This is an overview of how you go from a physical system to a linear model where you can design a...

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## Using Simscape™ to Model a Quanser QUBE-Servo 2 with Friction

15 min
Intermediate
Article / Blog
Theory

Modelling a DC servomotor is one of the common examples used in control system textbooks and courses. Given that so many systems use DC motors, e.g. robot manipulator arms, it’s an important...

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## Creating Discrete-Time Models

Intermediate
Example
Theory

This MATLAB example shows how to create discrete-time linear models using the `tf``zpk``ss`, and `frd` commands.

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## Perspectives on Control-Relevant Identification Through the Use of Interacti...

Intermediate
Peer Reviewed Paper
Theory

This paper presents a control-relevant identification methodology through an intuitive interactive tool called "Interactive Tool for Control Relevant Identification (ITCRI)". ITCRI...

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## Manuscript about ITISE: an Interactive Software Tool for System Identificati...

Intermediate
Peer Reviewed Paper
Theory

The paper describes the conceptual basis, main features and functionality of an interactive software tool developed in support of system identification education and discovery.

This...

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## Averaging Methods in Nonlinear Dynamical Systems

Intermediate
Book
Theory

Perturbation theory and in particular normal form theory has shown strong growth during the last decades. So it is not surprising that the authors have presented an extensive revision of the...

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## Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields...

Beginner
Book
Theory

From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review...

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## Nathan Kutz:"Data-driven Discovery of Governing Physical Laws"

73 min
Intermediate
Video
Theory

Seminar by Dr.Nathan Kutz on "Data-driven Discovery of Governing Physical Laws" on 10/31/2018 CICS Seminar Series

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## Educational Tool for Teaching GRAFCET

Intermediate
App
Application

e-GRAFCET is a tool for supporting the teaching-learning process of GRAFCET ( which can be implemented using the programming language Sequential Function Chart – SFC). While this tool was...

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Beginner
App
Application

Tinkercad is a free, easy-to-use web app that equips the next generation of designers and engineers with the foundational skills for innovation: 3D design, electronics, and coding!

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## Equations of Motion for a Planar Vehicle

43 min
Beginner
Video
Theory

In this video we outline equations of motion for a simple planar vehicle. This model is suitable for vehicles such as boats or hovercraft that that are rest...

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## Second Order Dynamics in Process Control

17 min
Beginner
Video
Theory

How do we simulate two first order transfer functions in series, a inherently second order system, or two coupled differential equations? Tune in to find out!

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## First Order Dynamics in Process Control

15 min
Beginner
Video
Theory

An overview on the identification and behavior of first order dynamics in process control.

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## Discrete-Time Dynamical Systems

9 min
Intermediate
Video
Theory

This video shows how discrete-time dynamical systems may be induced from continuous-time systems.

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## Manipulating Aerodynamic Coefficients

25 min
Beginner
Video
Theory

In this video we discuss some potential problems you may encounter when attempting to perform operations with dimensionless aerodynamic coefficients such as ...

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## Dynamic Behavior and Input Types in Process Control

13 min
Beginner
Video
Theory

An introduction to the four types of dynamic behavior and five types of inputs (step, ramp, pulse, impulse, and sinusoidal), and why transfer functions are u...

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## Predicting Second Order Transfer Function Behavior

4 min
Beginner
Video
Theory

Given a second order transfer function, I'll cover how we can predict the system behavior and derive the appropriate time constants and damping coefficient.

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## A Nonlinear, 6 DOF Dynamic Model of an Aircraft: the Research Civil Aircraft...

103 min
Beginner
Video
Theory

In this video we develop a dynamic model of an aircraft by describing forces and moments generated by aerodynamic, propulsion, and gravity that act on the ai...

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## Dynamic Modeling in Process Control

14 min
Beginner
Video
Theory

I'll show you how we can build the dynamic models necessary to derive process transfer functions as an introduction to process control.

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## Building a Matlab/Simulink Model of an Aircraft: the Research Civil Aircraft...

51 min
Beginner
Video
Application

In this video we implement the RCAM model as a Matlab script that is called from a Simulink model. The result is a fully encapsulated Simulink model of a no...

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## Simulating the Lorenz System in Matlab

15 min
Intermediate
Video
Application

This video shows how simple it is to simulate dynamical systems, such as the Lorenz system, in Matlab, using ode45.

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## Second Order Dynamics Example

4 min
Beginner
Video
Theory

How will a second order process respond in the time domain when subjected to a unit step input? What other behaviors can we expect to see and why? Tune in to...

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