Formation ECAM LaSalle Ingénieur spécialité Mécanique et Génie Electrique (ENGINEERING PROGRAM)
| General Data | ||||
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| Academic program | Formation ECAM LaSalle Ingénieur spécialité Mécanique et Génie Electrique (ENGINEERING PROGRAM) | :
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| Type d'EC | Classes (LIIEEng07EContTheo2b) | |||
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Status :
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Period :
Semester 7 |
Education language :
English |
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| Learning Outcomes |
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| By the end of this module, students will be able to : 1. Modelize Multivariable systems 2. Determine the State space representation in canonical forms 3. Linearize a system 4. Design a state-feedback controller 5. Implement the designed controller and evaluate the system's performances |
| Content |
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| 1. System representation : the state-space representation SSR of monovariable and multivariable systems 2. Determinantion of the system's Block diagram 3. Determinantion of the State space representations in canonical forms : Controllable,Observable,Diagonal/Jordan 4. Evaluation of the Controllability and the observability of a given LTI system using the Kalman citerion 5. Design of State-feedback controller using the Ackermann's formula 6. Analysis of system performances : precision, rapidity, robustness against the presence of disturbances 7. System linearization using the Tylor expansion |
| Pre-requisites / co-requisites |
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| Introduction to control theory (S6) and Digital control (S7) Mathematics for Engineers 1 and 2 : Linear algebra : Determination of rank of matrix, the determinant |
| Bibliography |
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| Ogata, K. (2010) Modern control engineering.Prentice Hall |
| Assessment(s) | |||
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| N° | Nature | Coefficient | Observable objectives |
| 1 | This written exam stands for a Midterm. The students will be evaluated on some points that will be defined according to the progress of the lectures and tutorials sessions | 0,2 | Written exam |
| 2 | The practical sessions are in a form of a project that should last 8 hours. It concerns the Modeling and control of a multivariable system : case of the three-tank system, the main objectives are the following : 1.Characterise the components of the system (valves in this case) 2. If the system is non-linear, study the possibility of its linearization 3.Derive the state space model of the whole system 4. Analyse and study the model: controllability and observability 5. Develop the controller 6. Characterise the performance of the controlled system in terms of precision, and robustness to perturbations | 0,3 | Practical work |
| 3 | The final exam will take all the parts the student had seen during lectures, tutorials and labs | 0,5 | Written exam |