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Last updated:

November 28, 2022


Unlimited Duration


This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration


Upon successful completion of this course, students will be able to:

  • Create lumped parameter models (expressed as ODEs) of simple dynamic systems in the electrical and mechanical energy domains
  • Make quantitative estimates of model parameters from experimental measurements
  • Obtain the time-domain response of linear systems to initial conditions and/or common forcing functions (specifically; impulse, step and ramp input) by both analytical and computational methods
  • Obtain the frequency-domain response of linear systems to sinusoidal inputs
  • Compensate the transient response of dynamic systems using feedback techniques
  • Design, implement and test an active control system to achieve a desired performance measure

Mastery of these topics will be assessed via homework, quizzes/exams, and lab assignments.

Course Curriculum

  • Introduction; mechanical elements Unlimited
  • Solving ODEs; cruise control Unlimited
  • Laplace transforms; transfer functions Unlimited
  • Electrical and electro-mechanical system transfer functions Unlimited
  • DC motor transfer function Unlimited
  • Poles and zeros; 1st order systems Unlimited
  • 2nd order systems Unlimited
  • 2nd order systems (cont.) Unlimited
  • More than 2 poles; zeros; nonlinearities and linearization Unlimited
  • Examples of modeling & transfer functions Unlimited
  • Block diagrams; feedback Unlimited
  • Analysis of feedback systems Unlimited
  • Stability; Routh-Hurwitz criterion Unlimited
  • Steady state error analysis Unlimited
  • Root locus introduction Unlimited
  • Root locus example Unlimited
  • Design of transient response using root locus Unlimited
  • Positive feedback Unlimited
  • Examples of design via root locus Unlimited
  • Steady-state error compensation Unlimited
  • Transient response compensation; transient and steady-state error compensation Unlimited
  • Compensation examples Unlimited
  • Feedback compensation and its physical realization Unlimited
  • Feedback design examples Unlimited
  • Frequency response; bode plots Unlimited
  • Bode plot examples Unlimited
  • Gain margin and phase margin Unlimited
  • Design using the frequency response; lead, lag, lead-lag compensators Unlimited
  • The state-space representation Unlimited
  • Solving the state equations in the time and space domains Unlimited
  • Review: modeling and transfer functions Unlimited
  • Review: root locus, feedback design Unlimited
  • Review: frequency domain and design Unlimited

About the instructor

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Massachusetts Institute of Technology