Systems Theory and Control Theory

Description

At the end of this course, the student is able to derive simple dynamical models of systems from many different engineering disciplines such as electrical, mechanical, hydraulic, thermal and chemical systems and discrete-time systems. The student is able to apply the basic methods for modelling, describing and analysing linear dynamic time-invariant systems, and to critically evaluate the obtained results. The student is able to analyze continuous and discrete time system in time domain and in frequency domain, based on different system representations, e.g. a transfer function or a state space model description. For a given linear time-invariant single-input single-output system and given design specification in time domain or frequency domain, the student is able to design a classical compensator using frequency-domain methods (choosing a type of compensator and determining its parameters); design a compensator based on state-feedback, including a closed-loop state estimator; add feed forward to a classical compensator or a state-feedback compensator to eliminate steady-state errors on various types of reference signals; evaluate the designs above critically. The student is able to analyze (periodic, non-periodic continuous and discrete time) signals in the frequency domain, knows how to sample signals and to select an appropriate sampling rate, knows what leakage is and how this can be avoided.