Automatique avancée – Vision et mécatronique (MRI)
Advanced Automation
Séquencement
Learning objectives
This course aims to enable students to: Analysis of the behaviour of nonlinear systems. Placing linearization into a palace by return to state Design normal non-linear forms of observability.
Prerequisites
| Module | Teaching unit | Semester |
|---|---|---|
| Project: Mathematics | Mathematics and Computer Science 5 | S5 |
| Automation | Engineering Sciences 6 | S6 |
| Nonlinear Optimization | Engineering Sciences 7 | S7 |
| Modeling and Control in State Space | Engineering Sciences 8 | S8 |
Program
Analysis in the state space of nonlinear systems 1 - Commandability and observability of non-linear systems by differential geometry methods 2 - Accurate linearization of commandable systems around a point, by closure,
3 - Observability of non-linear systems,
4 - Linearization of observable systems by injection of outputs,
5 - Stability and stabilization of non-linear systems.
Assessment
Final review, authorized course documents and TDs, not authorized calculator.
References
i) Observer Design for Nonlinear Dynamic Systems: Differential Geometric Driss Boutat (Author), Gang Zheng Springer Nature Switzerland AG; 1st ed. 2021 edition (ii) Non linear control systems Isidori
Skills
1| Ref. | Verb | Description | Level |
|---|---|---|---|
| C1_2 | design | design commands and observers | 3 |