Nonlinear Systems Course
Dive into nonlinear systems engineering by modelling effects like friction and saturation in positioning stages. Gain skills in linearisation, stability analysis using Lyapunov methods, controller design including feedback and sliding modes, and performance verification through simulations for precise real-world applications in engineering and maths.

from 4 to 360h flexible workload
valid certificate in your country
What will I learn?
This course offers a practical guide to modelling and controlling vertical positioning stages, accounting for friction, backlash, dead zones, and saturation. Learners will create simplified nonlinear models, find equilibria, perform linearisations, develop robust controllers, assess stability and limit cycles, and validate via simulations with real-world precision standards.
Elevify advantages
Develop skills
- Nonlinear modelling: develop DC-motor positioning models incorporating friction and backlash.
- Linearisation skills: compute and verify local linear approximations for controller design.
- Controller synthesis: design feedback, gain-scheduled, and sliding mode controllers.
- Compensation techniques: apply feedforward for friction and gravity effects.
- Stability analysis: use Lyapunov methods and robust simulation tests.
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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