Goal: The students will become familiar with the foundations of system theory. The subject focuses on the description and analysis of linear dynamic systems. It provides an overview about the description of the linear dynamic systems in the time domain, frequency domain and complex frequency domain, investigates the connection between these domains and their applications.
Course description: Introduction to control theory, basic terms, mathematical foundations, differential equations, Laplace-transformation, transfer function. Stability. Time domain description, common inputs, transient response. Frequency domain description, characteristic functions, steady states. Stability in frequency domain, Bode-plots, Nyquist-diagram. Block diagram and connectivity of systems, stability of the closed loop. Discrete systems, difference equations, fixed points, sampling, Shannon’s theorem, z-transformation