Systems and Control, 5–7 cr

Core content

• Linear Time Invariant. Elements of systems control. Non-experimental Modelling. Model conversions. Simulation. Similarities and Differences of CT systems and DT systems. Nyquist-Shannon Sampling Theorem.
• Elementary Block Diagram. z Transform, z Transfer Function, Operator Transfer Functions. State-Space Models.
  
• Stability, Root Locus, Controllability, Observability. Möbius-Routh Stability Test. Intersample behavior.
• Analysis and Synthesis of Feedback Controllers. Root Locus.
• State-Feedback Control, State Observers and Observer Based Feedback Control using pole placement designs including analysis of Relative Stability and Sensitivities.
• +1cr: Part D
  

  Pole Placement Design using Transfer Functions. Reliable Implementations of DT LTI controllers, compensators and filters Decoupling Constrained DT MIMOPI Control.

• +1cr: Part E (assumes Part D)
  

  Least Squares and Weighted Least Squares Identification.
  Recursive Forgetting Least Squares Identification.
  Self-Tuning SISOPI and MIMOPI Control.

Complementary knowledge

• Further simulation tools of Matlab
• Creation of Matlab functions
• Stability Test of Schur & Cohn
• Sensitivity of eigenvalue, DC gain and the system response
• LTI and LPV systems
• State space model and Transfer Function Matrix from such model of the subsystems
• Improving accuracy of the computations
• Two skills from the list of 5 skills listed elsewhere