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Basics of Automation and Control I


Paweł Malczyk, Ph.D.




Course number and semester

ANW123, B.Sc. studies, 3rd semester


4 points

Classes per week

Lectures - 2h, tutorials - 1h


None — this course is accessible for all students enrolled in technical universities.

Course objectives

  • Fundamentals of modeling, analysis and control design for linear dynamic systems. This includes both theoretical and some practical aspects of the topic.
  • Knowledge and skills necessary for modeling, analysis and control design for linear dynamic systems.

Learning outcomes

  1. Remember the basic structure of feedback control systems and understand the purpose of its components. Be able to offer some illustrative examples of control systems in engineering fields.
  2. Be able to recognize that ordinary differential equations (ODEs) can describe the dynamic behavior of physical systems.
  3. Understand the application of Laplace transforms and their role in solving ODEs and obtaining transfer functions.
  4. Be able to linearize a nonlinear algebraic and ODEs through the use of Taylor series expansion.
  5. Be able to calculate and interpret the time-responses of linear dynamic systems.
  6. Understand the concepts of state variables, state differential equations, and output equations. Know how to calculate the transfer function from a state variable model, and vice versa.
  7. Be aware of block diagrams and be able to transform them.
  8. Be aware of frequency spectrum of continuous-time signals.
  9. Understand the powerful concept of frequency response and its role in control system design.
  10. Understand the differences between controlling the transient response and the steady-state response of a system.
  11. Be aware of key test signals used in controls and of the resulting transient response characteristics of basic linear dynamic systems.
  12. Understand the concept of absolute, relative stability, and bounded-input, bounded-output stability of dynamic systems.
  13. Know how to apply Routh-Hurwitz stability criteria to determine absolute and parametric stability of linear systems.
  14. Understand the Nyquist stability criteria and the role of Nyquist and Bode plots.
  15. Be capable of analyzing the relative stability and performance of feedback control system using frequency response methods considering phase and gain margin.
  16. Be familiar with time-domain and frequency domain performance specifications.
  17. Be able to choose and apply P, PD, PI, and PID controllers to improve the system performance.
  18. Recognize the improvements afforded by feedback in reducing system sensitivity to parameter changes, disturbance rejections, and measurement noise attenuation.

Recommended reading

  1. K. Ogata [O]. Modern Control Engineering, Prentice Hall, 3rd Edition, 1997.
  2. R. Dorf, R. Bishop [DB]. Modern Control Systems, Pearson Prentice Hall, 11th Edition, 2008.
  3. K. Astrom, R. Murray [AM]. Feedback Systems. An Introduction for Scientists and Engineers, Princeton University Press, 2012.
  4. Lecture notes/materials provided by the lecturer.