inf341 Robust Control and State Estimation in Digitalised Energy Systems

The students

• identify fundamentals of robust control and state estimation
• characterize problem-specific solution techniques for different classes of uncertainty
• are aware of reliable software implementations.

Methological competences
The students

• analyze problems of robust control and state estimation for dynamic systems
• analyze fundamental solution techniques on a theoretical basis
• transfer as well as generalize those independently to new fields of applications.

Social competences
The students

• develop solution ideas for real-life control problems within an accompanying project in small teams
• explain the obtained results in short presentations.

Self competences
The students

• critically reflect the achieved results of their project work
• acknowledge limitations of various approaches for robust control and state estimation.

1. Robustness of linear systems/ system analysis
   • Boundary crossing theorem of Frazer and Duncan
   • Mikhailov criterion
   • Kharitonov criterion
   • Frequency response approaches
2. Selected control design techniques/ control synthesis
   • Parameter-space approach of Ackermann and Kaesbauer
   • Eigenvalue and eigenvalue domain assignment
   • H-infinity control
   • Frequency response approaches (Sensitivity function approaches in the frequency domain)
3. Robust LMI-based control techniques
   • Lyapunov stability
   • Polytopic uncertainty modeling
   • Optimality of solutions
4. Duality between control and observer synthesis
   • Robust state estimation
   • Sliding mode observers
5. Interval methods: Solution of static and dynamic problems (Enclosing function values, Branch-and-bound techniques, Verification techniques for differential equations)
6. Fundamentals: Fault detection and fault-tolerant control

• Ackermann, J. Robust Control, Springer-Verlag, 2002.
• Gu, D.-W.; Petkov, P.H.; Konstantinov, M.M., Robust Control Design with MATLAB, Springer-Verlag, 2013
• Ostertag, E. Mono- and Multivariable Control and Estimation, Springer-Verlag, 2011
• Rauh, A. Folien/ Skript zur Vorlesung „Robuste Regelung und Zustandsschätzung“.
• Weinmann, A. Uncertain Models and Robust Control, Springer-Verlag, 1991