4 ECTS credits
110 h study time
Offer 2 with catalog number 9017094ENR for all students in the 2nd semester at a (E) Master - advanced level.
Linear system theory is a simple but very successful description of nature although most systems are nonlinear. For that reason it is important for an engineer to know how the presence of nonlinear distortions can be detected. On the basis of this information, she/he should decide if linear system theory is still applicable to solve his problem.
On the other hand, some systems are intrinsic nonlinear. Till recent, it was very hard to measure these characteristics. New measurement equipment allows nowadays to characterize also these nonlinear systems. For that reason it is necessary that our engineers have a sufficient background to access this new possibilities. Applications exist in the mechanical, electrical, electronic and microwave fields. This course offers a good basis to recognize, understand and deal with such nonlinear problems.
Goal: to give an intuitive insight in the behaviour of nonlinear systems. For that purpose we first provide the attendees with a theoretical framework that will be used next to develop a number of tools that can be easily used in practice to characterize nonlinear systems.
Part 1: Modeling
Volterra representation of nonlinear systems
Nonparametric representation of nonlinear systems
Best linear approximation of nonlinear systems
Stochastic nonlinear contributions
Part 2: Measurement
Detection, qualification and quantification of nonlinear distortions.
Measurement of transfer functions in the presence of nonlinear distortions.
Measurement of Volterra kernels in time and frequency domain.
Nonparametric measurement of nonlinear systems.
course notes are made available during the lessons
Goal: to give an intuitive insight in the behavior of nonlinear systems. For that purpose we first provide the attendees with a theoretical framework that will be used next to develop a number of tools that can be easily used in practice to characterize nonlinear systems.
The students understand the impact of the choice of the excitation and the convergence criterion: the students design a proper experiment. The choices are motivated from theoretical, practical, and application point of view.
The students can detect, qualify and quantify nonlinear distortions
The students use the Volterra representation of nonlinear systems as a general framework: the students can create a nonparametric representation of a nonlinear system. They understand the advantages and disadvantages of their choices. They can apply Volterra theory to analyse cascaded nonlinear systems, including the pre- and post-inverse.
The students can work with the best linear approximation of nonlinear systems: the students are able to apply linear modelling techniques in the presence of nonlinear distortions. They understand the impact of the nonlinear distortions on the properties of the framework using the concept of systematic and stochastic contributions.
The students are able to make initial choices to build nonparametric models using nonlinear state space or block oriented models.
The final grade is composed based on the following categories:
Oral Exam determines 100% of the final mark.
Within the Oral Exam category, the following assignments need to be completed:
Oral exam
This course offer isn't part of a fixed set of graduation requirements. Hence, it is a free elective.