Specifically, they will be able to
- apply and understand methods of linear algebra in the context of system and control theory problems (k3),
- describe the system properties of reachability and observability with the help of suitable subspaces and carry out triangular decompositions based on this (k3,k4),
- transform MIMO systems to controller normal form and describe the geometric principles of this transformation (k3,k6),
- calculate Gramians and explain their system-theoretical significance (k3,k4),
- explain and carry out model order reduction using balanced truncation (k4,k6),
- use Youla parameterization for control loops with two degrees of freedom in the SISO case for controller design and explain the underlying mathematical structures (k2,k3,k6)
- explain and calculate signal and system norms and carry out robustness analyses with unstructured model uncertainties (k2,k3,k4)
- Explain and interpret analytical restrictions (k3,k5)
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- Methods of linear algebra for control theory
- Triangular decomposition of dynamic systems, reachable subspace and non-observable subspace
- Control normal form (MIMO case)
- Gram's matrices
- Model order reduction
- Basics of rings as euclidean domains
- Youla parameterization
- Signal and system norms
- Robustness
- Analytical restrictions
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