logo Insalogo Insa

Automatic & Electronic


Programme (detailed contents):

Modeling and Analysis of continuous Linear Systems (MASLC):

v  Chapter I: Introduction: principal definitions, open-loop, closed-loop, bibliography

v  Chapter II: Models of linear systems: differential equation, transfer function, State-space model, relations between the models, linearization

v  Chapter III : Responses of linear systems: Deduced from the different models, impulse response, step response, harmonic response, notion of mode, dominant modes, first and second order systems.

v  Chapter  IV: Stability : definitions, modes-based criterion, algeraic criteria, root locus

v  Chapter  V: Controllability - Observability: definitions, Kalman criteria, criteria for special forms of state space models , duality, other criteria


Device physics:

v  Physics of semiconductors used in the realization of basic devices and integrated circuits.

v  Band structure, difference between metals insulators and semiconductors. Thermal occupation of the energy bands in a semiconductor. Intrinsic (Si, GaAs…) and doped (n, p) semiconductors.

v  Physical aspects of the operation of the PN junction at equilibrium and out of equilibrium and under static and dynamic polarization, solar cells, transistors (bipolar transistors, field effect JFET, MOS transistors and components thereof (e.g. IGBT…)), MOS memories ...




Modeling and Analysis of continuous Linear Systems (MASLC):

v  8,75h Lecture

v  7,50h Tutorials

Approfondissement en circuits électroniques (ACE) :

v  16.25h Lecture

v  15h Tutorials

v  5,5h Lab

Device physics:

v  12,50h Lecture

v  6,25h Tutorials


At the end of this module, the student will have understood and be able to explain (main concepts):

v  The linear time-invariant models (Differential equation, Transfer function, State space model). Particularly, all the methods involved in the analysis of stability or structural properties (Controllability, Observability).

The student will be able to:

v  Derive a model for a linear time-invariant system, to analyse its stability and its main structural properties.



Deepening of electronic circuits :

At the end of this module, the student will have understood and be able to explain (main concepts):

v  The electrical characteristics of diodes and transistors.

v  The concept of static biasing and the principle of small signal behavior around the bias point.

v  The different amplification classes for transistors based circuits.

v  The concepts of low and high frequency modelling in order to design advanced functional circuits.

The student will be able to:

v  Implement a bias circuit suitable for the intended function.

v  Extract the equivalent diagram for an operation in LF or HF, and extracting a transfer function.

v  Recognize basic circuits and implement (current mirror, differential structure ...)

v  Ability to use an electronic circuit simulation software and know the limitations of the models used.

v  Implement a filtering and amplification system for its integration

v  Designing circuits for the operation of various types of sensors.

v  Develop a power stage taking into account aspects of power dissipation.


Device physics :

At the end of this module, the student will have understood and be able to explain (main concepts):

v  physics of semiconductor components

v  The educational objectives are:

  • Acquire scientific knowledge related to the physics of semiconductor components
  • To link on the one hand the physical properties of materials and their arrangement and on the other hand the characteristics of electronic components.



The student will be able to:

v  understand, reproduce and apply some of the techniques of preparation and characterisation of materials from among the techniques covered in the program.

Define and build the process for a component elaboration including semiconductor, to be able to interpret, analyze, criticize its electronic characteristics based on the physical properties of selected materials.

Needed prerequisite

Moldeling and Anlalysis of continuous Linear Systems (MASLC) :

Basic course in analysis, linear differential equations, linear algebra, Fourier and Laplace transforms.


Deepening of electronic circuits : (ACE) :

basic electricity course, Kirchhoff's laws, fundamental theorems: Thevenin, Norton and superposition, voltage sources of concepts and current sources. Fourier and Laplace.



Device physics:

The lecture called UF Automatique/Electronique/Semiconducteur of 5nd semester. The ITEI course is an advantage to follow the UE. For students who have not followed this course, the ITEI course may be eventually opened on the MOODLE platform as an e-learning version: https: / / moodle.insa-toulouse.fr/login/index.php. Students can then follow its own this course and make the evaluation quiz.

Form of assessment

The evaluation of outcome prior learning is made as a continuous training during the semester. According ot the teaching, the assessment will be different: as a written exam, an oral exam, a record, a written report, peers review...


D. HINRICHSEN and A.J. PRITCHARD. "Mathematical Systems Theory I". Springer, Berlin Heidelberg, New-York, 2005

J.W. POLDERMAN and J.C. WILLEMS. "Introduction to mathematical systems theory". Springer Verlag, New-York, 1998

K. OGATA. "Modern control engineering". Prentica Hall, Upper Saddle River, 2001, 4th Edition.

P. ANTSAKLIS and A.N. MICHEL. "Linear Systems". Mc Graw-Hill, New-York, 1997

B. PRADIN and G. GARCIA. "Modélisation Analyse et Commande des Systèmes linéaires". Presse Universitaires du MIRAIL, 2009. (In French)

Additional information

Device physics, diodes, transistors, equivalent circuits, analog functions, models, linear models, modeling and analysis, stability