Nonlinear Systems Course
This course provides a thorough exploration of nonlinear systems, starting from modelling real-world effects like friction and saturation, through linearisation techniques, stability analysis, to designing and tuning robust controllers for high-precision positioning stages in engineering and mathematical contexts.

flexible workload of 4 to 360h
valid certificate in your country
What will I learn?
Gain practical expertise in modelling and controlling vertical positioning stages incorporating friction, backlash, dead zones, and saturation. Develop simplified nonlinear models, find equilibria, perform linearizations, create robust controllers, assess stability and limit cycles, and validate via simulations with precision benchmarks for practical use.
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Develop skills
- Nonlinear modelling: construct DC-motor positioning models including real-world effects.
- Linearisation skills: derive and verify local linear models for efficient controller design.
- Nonlinear control techniques: develop feedback, gain-scheduled, and sliding mode controllers.
- Friction and gravity compensation: apply accurate model-based feedforward methods.
- Stability and robustness analysis: utilise Lyapunov methods and rigorous simulation tests.
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