Modelling and Control of Hybrid Systems




Responsible Instructor: B. De Schutter (Bart)

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Course Contents:

General introduction, examples of hybrid systems and motivation
Modeling frameworks (automata, hybrid automata, piecewise-affine systems, complementarity systems, mixed logic dynamical systems, Petri nets)
Properties and analysis of hybrid systems (well-posedness, Zeno behavior, stability, liveness, safety, ...)
Control of hybrid systems (switching controllers, model predictive control)
Verification and tools

Study Goals:

Recent technological innovations have caused a considerable interest in the study of dynamical processes of a mixed continuous and discrete nature. Such processes are called hybrid systems and are characterized by the interaction of time-continuous models (governed by differential or difference equations) on the one hand, and logic rules and discrete-event systems (described by, e.g., automata, finite state machines, etc.) on the other. A hybrid system also arises in practice when continuous physical processes are controlled via embedded software that intrinsically has a finite number of states only (e.g., on/off control). Recent interest in hybrid systems is stimulated by developments in nonlinear control theory, intelligent control, adaptive control, and computer science. The purpose of the course is to introduce a variety of hybrid systems modeling, analysis and control techniques.

Education Method:

lectures + assignment


written exam (closed-book, no calculators, counts for 60% of the final marks) + assignment (assessed through written report, counts for 40% of the final marks)


Old course code: SC4160


3mE Department Delft Center for Systems and Control
© Copyright Delft Center for Systems and Control, Delft University of Technology, 2017.