Part I. Basic control concepts and representation of dynamic systems
1. Introduction to control systems
1.1 Definitions: Plant, controller, output variable, control variable, disturbances
1.2 Open-loop and closed-loop systems

2. Dynamic systems
2.1 Types of dynamic systems
2.1.1 Time-variant and time-invariant systems
2.1.2 Linear and non-linear systems
2.1.3 Linearization of non-linear systems
2.2 Mathematical model of electrical and mechanical systems
2.3 Representation in the frequency domain
2.3.1 Transfer functions
2.3.2 Poles and zeros of a system
2.3.3 Canonic form and canonic gain
2.4 Block diagram representation
2.5 Systems with multiple inputs and outputs
2.6 Representation in state-space

Part II. Time response and stability study
3. Time response characterization of a dynamic system
3.1 Introduction
3.2 Elementary input signals
3.3 First order systems
3.4 Second order systems
3.5 Higher order systems

4. Stability analysis
4.1 Introduction
4.2 Stability by means of pole localization in the complex plane
4.3 Routh-Hurwitz criterion
4.4 Steady-state error and system type

Part III. Controller design in the frequency domain
5. Analysis and design of control systems
5. Analysis and design of control systems
5.1 Proportional, Integral and Derivative control actions
5.1.1 Proportional controller
5.1.2 Proportional-Integral controller
5.1.3 Proportional-Integral-Derivative (PID)
5.2 Analysis and design of controllers based on root locus
5.2.1 Root locus
5.2.2 Controller design based on root locus
5.3 PID tuning by means of Ziegler-Nichols method

Part IV. Introduction to state-space
6. State-space
6.1 Definitions and state representation
6.2 Transfer functions to state-space
6.3 State-space to transfer functions
6.4 Poles, zeros and system order in state-space