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Modélisation et commande dans l'espace d'étatSciences de l'Ingénieur 8 (MRI)
Modeling and Control in State Space
Teaching unit Engineering Sciences 8 · M08T_SIN4
5ECTS (EU)
2Coefficient
21:20Hours
Séquencement
Learning objectives
- Model in the state space,
- Control a linear system,
- Synthesize a linear observer,
- Design a Kalman filter.
Prerequisites
| Module | Teaching unit | Semester |
|---|---|---|
| Mathematics 4.3 | PO STI 2 | S4 |
| Signal Processing | PO STI 2 | S4 |
| Mathematics 1.1 | Basic Sciences 1 | S1 |
| Mathematics 1.2 | Basic Sciences 1 | S1 |
| Automation | Engineering Sciences 6 | S6 |
Program
- Definition of system status and state representation,
- Different forms of state representation,
- Properties of the transition matrix,
- Concept of commandability and observability,
- Command by status return,
- Design of an observer,
- Synthesis of a Kalman filter
- Applications
Assessment
Final exam, calculator and course documents and authorized TDs.
References
- Thomas KAILATH Linear Systems Pearson, 1979.
- René HUSSON Methods of controlling electrical machinery Hermes Science Publications, 2002
- Eric OSTERTAG Mono- and Multivariable Control and Estimation Springer, 2010
Skills
5| Ref. | Verb | Description | Level |
|---|---|---|---|
| C2_1 | design | Order Law | 3 |
| C2_1 | identify | represent the system as state equations | 3 |
| C3_1 | design | Estimate: observer for eLuenberger or Kalman Filter | 2 |
| C3_2 | implement | Implementation | 2 |
| C3_2 | solve | What about the problem of the non-measuring of all states? | 3 |