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Learning objectives and acquired competences:
The module considers state-space methods for analysis and control of linear time-invariant dynamical systems with multiple inputs and multiple outputs (MIMO LTI systems), both for continuous-time systems as well as in the discrete-time setting. Upon successful completion, students are able
- to analyze dynamical systems with respect to stability, controllability, and observability as well as related properties,
- to know and use special state representations (like the controller canonical form, the Jordan form or a Kalman decomposition),
- to design state feedback controllers by methods including eigenvalue assignment and the LQR approach, and
- to design state observers to reconstruct unmeasured state components.
Contents:
- introduction into state-space representations and theory
- system properties of continuous-time and discrete-time LTI systems
- design of state feedback controllers and state observers
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