Hybrid and Cyberphysical Control Systems (HCCS)



Learn about principles and properties of dynamic systems which are characterized by the combination of continuous and discrete-event behavior and/or networked structures. The course covers techniques of formal modeling, analysis, control design, and optimization tailored to hybrid dynamic systems and networked control systems.


  • Modeling of continuous-discrete systems by hybrid automata
  • Hybrid Petri nets und hybrid statecharts
  • Numeric Simulation of hybrid systems
  • Stability of switched and switching systems
  • Reachability analysis and algorithmic verification
  • Controller design for hybrid systems
  • Hybrid optimal control
  • Modeling of networked control systems
  • Stability of networked systems
  • Control design for networked and cooperative systems


  • A.J. v.d. Schaft, H. Schumacher: An Introduction to Hybrid Dynamical Systems, Springer-Verlag, 2000.
  • A.S. Matveev, A.V. Savkin: Qualitative Theory of Hybrid Dynamical Systems. Birkhäuser-Verlag, 2000.
  • J. Lunze, F. Lamnabhi-Lagarrigue (Eds.): Handbook of Hybrid Systems Control, Cambridge University Press, 2009.
  • S. Engell, G. Frehse, E. Schnieder (Eds.): Modelling, Analysis, and Design of Hybrid Systems, Springer-Verlag, 2002.
  •  D: Hristu-Varsakelis, W.S. Levine: Handbook of Networked and Embedded Control Systems, Birkhäuser, 2005.

Recommended Prerequisites

Material of the courses Linear Control Systems, Discrete-Event Systems and Control Theory, and Nonlinear Control Systems (or similar)


3 L + 1 T, 6 Credit Points

(L: lecture hours per week; T: tutorial hours per week)

The course is offered in the winter semester; the examination in the winter and summer semester (in English language only).

Note that the submission of a homework solution is mandatory for admittance to the exam.

Course Number

FB16 - 4455

Assignment to Course Programs

Master Electrical Engineering
Master Mechatronics