Basics of Automation & Control I

Parametric description

Lectures   Tutorials
Paweł Malczyk, Ph.D., D.Sc.   Marcin Pękal, Ph.D.
Course number and semester ECTS Classes per week
B.Sc. studies, 3rd semester 4 points 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

  • 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.
  • Be able to recognize that ordinary differential equations (ODEs) can describe the dynamic behavior of physical systems.
  • Understand the application of Laplace transforms and their role in solving ODEs and obtaining transfer functions.
  • Be able to linearize a nonlinear algebraic and ODEs through the use of Taylor series expansion.
  • Be able to calculate and interpret the time-responses of linear dynamic systems.
  • 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.
  • Be aware of block diagrams and be able to transform them.
  • Be aware of frequency spectrum of continuous-time signals.
  • Understand the powerful concept of frequency response and its role in control system design.
  • Understand the differences between controlling the transient response and the steady-state response of a system.
  • Be aware of key test signals used in controls and of the resulting transient response characteristics of basic linear dynamic systems.
  • Understand the concept of absolute, relative stability, and bounded-input, bounded-output stability of dynamic systems.
  • Know how to apply Routh-Hurwitz stability criteria to determine absolute and parametric stability of linear systems.
  • Understand the Nyquist stability criteria and the role of Nyquist and Bode plots.
  • Be capable of analyzing the relative stability and performance of feedback control system using frequency response methods considering phase and gain margin.
  • Be familiar with time-domain and frequency domain performance specifications.
  • Be able to choose and apply P, PD, PI, and PID controllers to improve the system performance.
  • Recognize the improvements afforded by feedback in reducing system sensitivity to parameter changes, disturbance rejections, and measurement noise attenuation.

Recommended reading

  • K. Ogata [O]. Modern Control Engineering, Pearson, 5th Edition, 2010.
  • R. Dorf, R. Bishop [DB]. Modern Control Systems, Pearson Prentice Hall, 11th Edition, 2008.
  • K. Astrom, R. Murray [AM]. Feedback Systems. An Introduction for Scientists and Engineers, Princeton University Press, 2020.
  • Lecture notes/materials provided by the lecturer.