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

4 to 360h flexible workload
certificate valid in your country
What will I learn?
This course provides a practical approach to modeling and controlling vertical positioning stages, incorporating friction, backlash, dead zones, and saturation. Learners will create nonlinear models, find equilibria, linearize systems, develop robust controllers, assess stability and limit cycles, and validate via simulations with precision metrics for practical use.
Elevify advantages
Develop skills
- Nonlinear modeling: Construct DC-motor models accounting for friction and backlash.
- Linearization skills: Compute equilibria and local linear approximations for control 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 simulations to ensure robustness.
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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