Pedagogical Degrees

Doc. - Docent - 2003 - Czech Technical University in Prague

Prof. - Professor - 2004 - Czech Technical University in Prague

 

Boards

Chair - Doctoral Studies Board in the field of Control Engineering and Robotics at the CTU in Prague.

Member - Scientific Board of the Technical University of Liberec

Member - Scientific Board of the Faculty of Mechatronics at the Technical University of Liberec

Member - Doctoral Studies Field Board at the Thomas Bata Technical University in Zlin.

 

Courses

Michael Sebek teaches graduate and post-graduate courses in systems, control theory and algorithms at various universities. Since 1994, he has taught the following courses:

Systems and Control

Undergraduate program in Cybernetics and Measurement
Czech Technical University in Prague
Winter semesters since 2005, 3+2 hours weekly
Summary:

  1. Introduction: Hidden technology, Top 10 and Bottom 5 control systems, Control systems structure, Basic formulae, Nice examples.
  2. Time-domain: Transient design specs, 1st, 2nd and higher order systems, steady-state design specs, regulation and tracking.
  3. Feedback: Feedforward and feedback, PID controllers, lead-lag controllers, classical tuning, simple pole placement, anti-windup.
  4. Frequency methods: Nyquist criterion, stability margins, bandwidth, Bode formulae and stabilization, closed/loop frequency response, design in frequency domain.
  5. Modern frequency methods: Loop-shaping, sensitivity, uncertainty, robust stability and behavior, limits of control.
  6. State-space methods: State-space model, transformations, Controllability, State feedback, Pole-placement via state feedback.
  7. State-space methods contd.: SRL and LQR, Observer, Observability, Output feedback, Separation principle.
  8. Polynomial methods: Polynomials, Polynomial equations, Algorithms, Pole placement via polynomial methods, stabilization, asymptotic regulation and tracking, model matching.
  9. Digital control: Continuous-time, discrete-time and sampled systems, digitization, sampling for control, design via emulation and approximation, approximate PID controller, approximate state-feedback, discrete-time model of a continues-time plant.
  10. Discrete-time state-space methods: Discrete-time state models, Pole placement, Discrete-time root-locus, d-t frequency plot, design limits, deadbeat control, d-t observer, dead-beat observer.
  11. Discrete-time polynomial methods: Pole placement, deadbeat controller, stabilization, two-degrees-of-freedom controller, discrete-time tracking.
  12. Nonlinear systems: Linear vs. nonlinear, phase portraits, linearization effect of feedback, nonlinear plant and various linearizations, actuator nonlinearity, stability of nonlinear systems, Lyapunov function, nonlinear feedback systems stability, oscillations.
  13. More complex systems: Multi-Input Multi-Output systems, gain of a MIMO system, poles and zeros in MIMO, connecting MIMO systems, time-delay systems, time-varying systems.

Video of all the lectures can be downloaded from http://www.avc-cvut.cz/avc.php?id=5157  .

Robust Control

Graduate program in Control Engineering
Czech Technical University in Prague
Winter semesters 1998-2002, 3+2 hours weekly
Summary: Uncertain system, robust controller, structured and unstructured uncertainties, parametric uncertainties, single parameter case, independent uncertainties, interval polynomials, polytopes, value set, edges, multilinear and polynomial uncertainty, spherical theory, simultaneous stabilization, linear matrix inequalities, H-2 and H-infinity norm, robust stability and performance, H-infinity design.

Polynomial Methods for Control Analysis and Design

Graduate program in Control Engineering
Technical University Hamburg-Harburg, D
Summer semester 2000, 2+2 hours weekly
Summary: Polynomials and polynomial matrices, Polynomial Toolbox for MATLAB, polynomials in control systems, discrete-time systems, continuous-time systems, MIMO systems, CAD based on polynomial methods, robust control, future perspectives.

Nonlinear Systems

Graduate program in Control Engineering
Czech Technical University in Prague
Winter semesters 1999-2002, 3+1 hours weekly
Summary: Nonlinear differential and difference equations; Phenomena not encountered in linear world; Planar nonlinear systems; Drawing phase portraits; Stability and Lyapunov methods; Structure of nonlinear control systems; Transformations; Triangular systems; Exact linearization; SISO and MIMO systems; Relative order; Null dynamics and minimum phase systems; Normal form; Decoupling; Popov method; Periodic solutions; Chaos.

Numerical Methods for Control Design

Doctoral degree program in Control Engineering
Czech Technical University in Prague
Summer semester 1999-2004, 2+0 hours weekly
Summary: IEEE Arithmetic, floating point arithmetic, algorithms and floating point arithmetic, rounding errors, error analysis, systems of linear equations, polynomial interpolation, QR factorization, Hauseholder transformation, eigenvalues and eigenvectors, QR algorithm, polynomial matrix determinant computation based on FFT, randomized algorithms for control.

Polynomial Methods for Controller Design

(with Huibert Kwakernaak)
Belgium Graduate School in Systems and Control
Leuwen, B
Winter semester 1998, 2+0 hours weekly
Summary: Polynomial approach to systems, polynomial matrices, Diophantine equations, spectral factorization, LQG design, robust design, H-infinity norm, optimal and sub-optimal design, J-spectral factorization, descriptor systems, numerical methods.

Algebraic Methods in Control

Doctoral degree program in Control Engineering
Czech Technical University in Prague
Summer semester 1998, 2+2 hours weekly
Summary: Polynomials and polynomial matrices, Diophantine equations, spectral factorization, pole placement, asymptotic behavior, deadbeat, LQG control, H-infinity design, robustness, numerical methods.

Modern Control Theory

Master degree program in Control Engineering
Czech Technical University, Prague
Summer semester 1997, 3+2 hours weekly
Summary: Linear-quadratic methods, state feedback, state estimation, Riccati equation, polynomial approach, Diophantine equations, spectral factorization, LQG control, H-infinity design, robustness.

Multidimensional Systems

Post-graduate program (Nachdiplomstudium) in Control Engineering
ETH Zurich, CH
Winter semester 1995, 2+0 hours weekly
Summary: Examples of 2-D and n-D systems and filters, local state-space models, input-output models, 2-D and n-D polynomials and polynomial matrices, stability and stabilization, polynomial equations.

Robust Control

Post-graduate program (Nachdiplomstudium) in Control Engineering
ETH Zurich, CH
Summer semester 1994, 2+0 hours weekly
Summary: Polynomial approach, polynomial matrices, Diophantine equations, nominal design, robust design, H-infinity norm, optimal and sub-optimal design, J-spectral factorization.

Other teaching activities include separate invited lectures and seminars at about fifty universities in Europe, America, Asia and Africa.