# Basics of Automation & Control I

#### Parametric description

Lecturer
Paweł Malczyk, Ph.D., D.Sc.
Course number and semester ECTS Classes per week
ANW123, B.Sc. studies, 3rd semester 4 points Lectures - 2h, tutorials - 1h

#### Prerequisites

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.