Modeling Dynamics and Control I PDF

Modeling Dynamics and Control I

The vital electric components of the flash circuitry in a single-use disposable camera. In this device, a LC circuit generates a high voltage to fire the flash bulb. (Image by Prof. David Trumper.)

Course Highlights

This course features an extensive problem set archive with solutions in theassignments section. Also, a comprehensive set of laboratory exercises is available in the labs section. These labs include descriptions, instructions, video demonstrations, and step-by-step photographs and images.

Please note that since our last publication, the translated version available may not have the most current content that is available on the MIT OCW site.

Course Description

This course is the first of a two term sequence in modeling, analysis and control of dynamic systems. The various topics covered are as follows: mechanical translation, uniaxial rotation, electrical circuits and their coupling via levers, gears and electro-mechanical devices, analytical and computational solution of linear differential equations, state-determined systems, Laplace transforms, transfer functions, frequency response, Bode plots, vibrations, modal analysis, open- and closed-loop control, instability, time-domain controller design, and introduction to frequency-domain control design techniques. Case studies of engineering applications are also covered.

Study Materials

Special software is required to use some of the files in this section: .mov. This section contains documents created from scanned original files, which are inacessible to scanned reader software. A "#" symbol is used to denote such documents.

Below are some study materials for this course. They are divided into two categories:

1. Supplementary Documents
2. Useful Materials

Supplementary Documents

Supplementary documents handed out in 2.003 so far:

Complex Numbers (PDF)

Subtleties of the Laplace Transform (PDF)

Transfer Function Notes (PDF)^#

Laplace Transform Pairs and Properties (PDF)

Op-Amp Notes (PDF)^#

Bode Examples (PDF), complicatedbode.m (M)

Cell Phone Hinge Design (PDF)

Useful Materials

More Details for 2.003 Inverted Pendulum Demo (PDF - 1.5 MB)

MagLev Demonstration

Mouse Trap 1 (MOV - 3.3 MB)

Mouse Trap 2 (MOV - 7.2 MB)

Pingball (MOV - 1.2 MB)