Dynamic Systems

In this module, students are introduced to the fundamentals of representing and analyzing dynamic signals and systems, illustrated through examples from mechatronic application systems. Upon successful completion of the module, students will be able to:

• Describe and analyze continuous-time and discrete-time dynamic systems
• Classify dynamic systems based on their characteristics and assign them to appropriate categories
• Demonstrate the skills needed to analyze continuous and discrete signals both in the time domain and frequency domain, and apply them effectively in system analysis
• Represent linear time-invariant (LTI) systems in both continuous and discrete time, analyze their key properties such as stability, switch between different representations, and use them for signal processing (e.g., filtering)

Below is an overview of the main topics covered in the lecture "Dynamic Systems":

Classes and Characteristics of Dynamic Systems

• LTI systems, SISO/MIMO, event-driven and hybrid systems, deterministic/stochastic systems
• Nonlinear systems, equilibrium points, linearization

Continuous-Time and Discrete-Time Signals:

• Basic signals, sampling, A/D and D/A conversion
• Fourier transform, Laplace transform

Continuous-Time Systems:

• Differential equations, state-space representation, impulse response
• Transfer function, poles and zeros, continuous-time filters
• Stability, block diagrams
• Frequency response, Bode plots

Discrete-Time Systems:

• Discretization methods (fundamental matrix, bilinear transform, etc., comparison)
• Difference equations, state-space representation, z-transform, impulse response
• Transfer function, poles and zeros, discrete-time filters
• Stability, block diagrams

The lecture-related materials will be made available for download on Stud.IP throughout the course of the lecture. These include the script, exercises, exam materials, and supplementary literature.