The list of topics for the entry exam to the AGH Doctoral School in discipline Electronics and Electrical Engineering

  1. Measurements – electrical and nonelectrical measurement. Design of measurement channel. A/D and D/A conversion and converters. Synchronization measurement devices in multichannel system. Signal conditioning and channel calibration. Estimation o measurement uncertainties. Measurement technics with vision systems usage. Operating principle of electrical and nonelectrical measurement transducers.
  1. Signal Analysis and Identification – Fourier, Laplace, Laurent (Z) transformations. Correlation function, power spectral density. Continues, discrete, ergodic and random processes. Power and energy signals. Stochastic analysis problems: distribution, probability density function. Time and frequency domain identification problems. Digital signal processing problems.
  1. Control systems – Microprocessor systems, Programmable Logic Controllers, FPGA circuits. Real Time Operating systems for automation. Communication protocols used in industry automation. Combinational and sequential logic systems design. The construction and operation of digital industry automation systems.
  1. Drive systems – the construction, operation and modelling of electric, hydraulic and pneumatic drives and actuators.
  1. Robotics – the construction and modelling of robots. Forward and inverse kinematics of robot manipulators. Statics and dynamics problems. Control Systems in Robotics.
  1. Modelling – linear and nonlinear models of objects mechanical and electrical and technological processes. Classical mechanic, fluid mechanics and thermodynamics problems. Static and dynamic characteristics of dynamic objects (time and frequency domain). Structural dynamics, partial differential equations usage for object modelling. Eigenproblem of the multidimensional objects (mode shapes).
  1. Control systems theory – the object model notations in the form of differential equations, transmittances and state space models. Continuous and discrete models of SISO and MIMO objects. Control systems synthesis of linear SISO, and MIMO objects. Control systems quality indicators. Eigenvalues and eigenvectors of object models. PID control synthesis methods, pole and zero allocation method, phase and stability margin, state controller, LQR, LQG, robust control, adaptive control. Non-linear MIMO objects synthesis methods. Stability, observability and controllability problems. Luenberger and Kalman state observers. Dynamic optimization methods, Bellman's optimality principle, Pontragin's maximum principle.