Institute for measurement and sensor technology

Teaching in the Winter Semester 22/23

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Measurement and Control Theory

Content

Also listed at module handbook

Measurement Theory

  • Basic terminology, measurement technology tasks, measuring chain
  • Measurement statistics (modeling, probability and distribution functions, confidence interval and complete measurement result, deviation propagation, linear fit and correlation)
  • Stationary and dynamic properties of measuring equipment (stationary characteristic measurement curve, compensation methods, spline interpolation and smoothing splines, sensitivity, differential principle)
  • Resistance measuring bridges (adjustment procedures, deflection procedures, strain gauges)
  • Fourier series and Fourier transformation (derivation, properties, convolution theorem, time frame, examples of applications, filters, carrier frequency procedures)
  • Scanning of measurement signals (discrete-time Fourier transformation, aliasing, reconstruction, discrete Fourier transformation)

Control Theory

  • Fundamentals and modeling of technical systems
  • Description of dynamic systems in the time domain (LTI systems, causal systems, differential equations to describe dynamic systems, linearization, block diagrams, solution in time domain, test functions)
  • State space representation (normal forms, controllability, observability, stability, homogeneous and particulate solutions)
  • Description of dynamic systems in the frequency range (Laplace transformation, transfer function, matrix transfer function, locus, Bode plot, amplitude and phase margin)
  • Control circuit (types of recirculation, stationary behavior and lasting offset, stability of control circuit, Nyquist procedure, root locus plot)
  • Setting/adjusting controllers (assigning poles, optimum control, heuristic processes)

 

Infos

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