Control Systems

Reference

• Norman S. Nise, Control Systems Engineering [website]

• Katsuhiko Ogata, Modern Control Engineering

• Richard C. Dorf and Robert H. Bishop, Modern Control Systems [website]

• Farid Golnaraghi and Benjamin C. Kuo, Automatic Control Systems [website]

• Brian Douglas, The Fundamentals of Control Theory [website][ebook]

• Pao C. Chau, Process Control: A First Course With MATLAB [website]

• Karl J. Åström and Richard M. Murray, Feedback Systems: An Introduction for Scientists and Engineers [website]

• R.V. Dukkipati, Analysis and Design of Control Systems using MATLAB

Online Book

• CSA - Your Controls Resource

• Book: Introduction to Control Systems (Iqbal) - Engineering LibreTexts License: CC-BY-NC

• Book: Chemical Process Dynamics and Controls (Woolf) - Engineering LibreTexts License: CC-BY

• Linear Physical Systems Analysis

Interactive Learning

• Interactive Course for Control Theory
• Umich Control Tutorials

Specific Topics

• Linear Physical Systems - Erik Cheever
• Root Locus Overview - Erik Cheever

Control Theory Map

Control Theory Map

Software

• Octave Online

Interactive Control Systems Learning

• ICCT: Interactive course for control theory, ICCT Interactive Course in Jupyter
• Umich Control Tutorials

Online Video Course

• Brian Douglas Youtube Control System Lectures

  • Routh Horwitz Criterion
  • Root Locus
  • Bode Plots
  • Lead Lag Compensator
  • PID Control
  • Discrete Control
• Steve Brunton Control System Bootcamp
• MATLAB Control System
• MATLAB Channel: Control System in Practice
• MATLAB Channel: Understanding Control System
• MATLAB Channel: Understanding PID Control

Control Learning Videos

• Christopher Lum - YouTube
• katkimshow - YouTube
• Control Theory in Practice - YouTube

Control Theory Interactive

ICCT

• Control Systems Academy - https://www.controlsystemsacademy.com/
• CBE30338: https://jckantor.github.io/CBE30338/
• Linear Physica l Systems Analysis: https://lpsa.swarthmore.edu/
• Python in Education (Institute of Control Theory): https://tu-dresden.de/ing/elektrotechnik/rst/studium/python-in-der-lehre?set_language=en Computational Methods for Control of Infinite-dimensional Systems - Institute for Mathematics and its Applications

Python Control

• Python Control Systems Library—Python Control Systems Library dev documentation
• mpc.pytorch: A fast and differentiable MPC solver for PyTorch

Intelligent Control

• About the Book - DATA DRIVEN SCIENCE & ENGINEERING

  • dynamicslab/databook_matlab: Matlab files with demo code intended as a companion to the book "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by J. Nathan Kutz and Steven L. Brunton https://www.databookuw.com/
  • dylewsky/Data_Driven_Science_Python_Demos: IPython notebooks with demo code intended as a companion to the book "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by J. Nathan Kutz and Steven L. Brunton

Control Systems Online Curriculum

Level 1:

1. Math basics:

   1. Algebra 1: https://www.khanacademy.org/math/algebra and https://www.khanacademy.org/math/algebra2
   2. Trig: https://www.khanacademy.org/math/trigonometry
   3. Basic Calculus: https://www.khanacademy.org/math/ap-calculus-ab and https://www.khanacademy.org/math/ap-calculus-bc
2. Physics Basics:

   1. General Physics: https://www.khanacademy.org/science/physics
   2. More "advanced" general physics: https://www.khanacademy.org/science/ap-physics-1 and https://www.khanacademy.org/science/ap-physics-2
3. MATLAB Basics:

   1. https://ocw.mit.edu/courses/mathematics/18-s997-introduction-to-matlab-programming-fall-2011/index.htm

Level 2:

1. Intermediate Math:

   1. Linear Algebra: https://www.khanacademy.org/math/linear-algebra
   2. Differential Equations: https://www.khanacademy.org/math/differential-equations
2. Intermediate Physics:

   1. Calculus based Mechanics at the college level: https://ocw.mit.edu/courses/physics/8-012-physics-i-classical-mechanics-fall-2008/index.htm
   2. E&M: https://ocw.mit.edu/courses/physics/8-02-physics-ii-electricity-and-magnetism-spring-2007/index.htm
   3. Waves and vibrations: https://ocw.mit.edu/courses/physics/8-03-physics-iii-spring-2003/index.htm
3. Intro to Simulink: https://ctms.engin.umich.edu/CTMS/index.php?example=Introduction&section=SimulinkModeling

Level 3:

1. More rigorous math courses:

   1. Multivariable Calculus: https://www.khanacademy.org/math/multivariable-calculus
   2. Higher level linear algebra: https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/index.htm
   3. Higher level differential equations: https://ocw.mit.edu/courses/mathematics/18-03-differential-equations-spring-2010/
2. More rigorous physics:

   1. Mechanics 2: https://ocw.mit.edu/courses/physics/8-223-classical-mechanics-ii-january-iap-2017/
   2. Mechanics 3: https://ocw.mit.edu/courses/physics/8-09-classical-mechanics-iii-fall-2014/
3. Beginning Engineering:

   1. Electrical:

      1. Circuits: https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-002-circuits-and-electronics-spring-2007/
      2. Signals: https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-003-signals-and-systems-fall-2011/
   2. Mechanical:

      1. Beginning dynamics: https://ocw.mit.edu/courses/mechanical-engineering/2-003sc-engineering-dynamics-fall-2011/syllabus/
      2. More Dynamics and intro to control: https://ocw.mit.edu/courses/mechanical-engineering/2-003j-dynamics-and-control-i-spring-2007/index.htm

Level 4:

1. Helpful Math:

   1. Beginning Stats: https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-041sc-probabilistic-systems-analysis-and-applied-probability-fall-2013/
2. Signal Processing:

   1. Signals and systems: https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-011-signals-systems-and-inference-spring-2018/syllabus/
3. Control:

   1. Dynamics and control 2: https://ocw.mit.edu/courses/mechanical-engineering/2-004-dynamics-and-control-ii-spring-2008/index.htm
   2. More systems and control: https://ocw.mit.edu/courses/mechanical-engineering/2-04a-systems-and-controls-spring-2013/index.htm
   3. Feedback Control: https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-30-feedback-control-systems-fall-2010/index.htm
   4. More intro control: https://www.edx.org/course/introduction-control-system-design-first-mitx-6-302-0x?utm_source=OCW&utm_medium=CHP&utm_campaign=OCW
   5. More state space intro: https://www.edx.org/course/introduction-state-space-control-mitx-6-302-1x?utm_source=OCW&utm_medium=CHP&utm_campaign=OCW
   6. Recommended Resources for this level in addition/ to help with the courses above, these will also help with some of the "higher" level stuff:

      1. katkimshow Intro to control: https://www.youtube.com/playlist?list=PLmK1EnKxphikZ4mmCz2NccSnHZb7v1wV-
      2. Brian Douglas Control System Lectures: https://www.youtube.com/playlist?list=PLUMWjy5jgHK3j74Z5Tq6Tso1fSfVWZC8L
      3. Steve Brunton Control Bootcamp: https://www.youtube.com/playlist?list=PLMrJAkhIeNNR20Mz-VpzgfQs5zrYi085m

Level 5:

1. Optional Math:

   1. Complex Variable: https://ocw.mit.edu/courses/mathematics/18-04-complex-variables-with-applications-fall-2003/
   2. A course designed to help intuition: https://ocw.mit.edu/courses/mathematics/18-098-street-fighting-mathematics-january-iap-2008/index.htm
2. More rigorous practice in signals and systems:

   1. Graduate signals processing: https://ocw.mit.edu/courses/mechanical-engineering/2-161-signal-processing-continuous-and-discrete-fall-2008/lecture-notes/
3. Control:

   1. Higher level dynamics and control: https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-241j-dynamic-systems-and-control-spring-2011/index.htm
   2. Higher level feedback control: https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-302-feedback-systems-spring-2007/calendar/
   3. Slightly higher level control: https://ocw.mit.edu/courses/mechanical-engineering/2-14-analysis-and-design-of-feedback-control-systems-spring-2014/index.htm
   4. Multi-variable control systems: https://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-245-multivariable-control-systems-spring-2004/index.htm

Level 6:

1. Optional Nonlinear Dynamics:

   1. Chaos: https://ocw.mit.edu/courses/mathematics/18-353j-nonlinear-dynamics-i-chaos-fall-2012/index.htm
   2. Continuum: https://ocw.mit.edu/courses/mathematics/18-354j-nonlinear-dynamics-ii-continuum-systems-spring-2015/
2. Non-Linear control:

   1. More theory based: https://web.mit.edu/nsl/www/videos/lectures.html
   2. More practice based: https://www.youtube.com/watch?v=9xDZy5mE-3I&list=PLrxYXaxBXgRoqgaBlitaAA_sgVZ8V6Teg (note, videos in english except introduction)

      1. Resources for these videos: https://sites.google.com/a/g2.nctu.edu.tw/nonlinear-control-systems-2017-fall/course-materials

Level 7:

1. More advanced, but optional, non-linear dynamics:

   1. Chaos: https://ocw.mit.edu/courses/mathematics/18-385j-nonlinear-dynamics-and-chaos-fall-2014/index.htm
   2. Waves: https://ocw.mit.edu/courses/mechanical-engineering/2-034j-nonlinear-dynamics-and-waves-spring-2007/index.htm
2. Control:

   1. Sliding mode: https://www.youtube.com/watch?v=x9WxwM6Ebvo (Note, this is the only videos or online materials I can find in a course-manner on sliding mode, please suggest more if you find them)
   2. Optimal and Robust control: https://www.youtube.com/watch?v=z64cXTZKw4I&list=PLMLojHoA_QPmRiPotD_TnfdUkglTexuqm\

Control eBook

• calcmogul/controls-engineering-in-frc: Controls Engineering in the FIRST Robotics Competition: Graduate-level control theory for high schoolers. License: CC-BY
• https://github.com/calcmogul/control-theory-poster