Nonlinear Systems Course
Dive into nonlinear systems engineering by modelling real-world effects like friction and saturation in DC-motor positioning stages. Master linearisation techniques, stability analysis using Lyapunov methods, controller design including feedback and sliding modes, and performance verification through simulations for high-precision applications in engineering and mathematics.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course provides a practical guide to modelling and controlling vertical positioning stages, accounting for friction, backlash, dead zones, and saturation. Learners will create nonlinear models, find equilibria, linearise systems, develop robust controllers, assess stability and limit cycles, and validate via simulations with precision standards for practical use.
Elevify advantages
Develop skills
- Nonlinear modelling: construct DC-motor models incorporating friction and backlash.
- Linearisation skills: compute equilibria and local linear approximations.
- Controller synthesis: design feedback, gain-scheduled, and sliding mode controls.
- Compensation techniques: apply feedforward for friction and gravity effects.
- Stability analysis: use Lyapunov functions and robust simulation testing.
Suggested summary
Before starting, you can change the chapters and the workload. Choose which chapter to start with. Add or remove chapters. Increase or decrease the course workload.What our students say
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