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Systems analysis complex


This UF is composed of two distinct and autonomous parts:

  • Multivariable systems
  • Nonlinear systems analysis



Semestre 1

This two courses  proceed in parallel without any particular interaction. Some exercises are performed  on computer using Matlab.


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


  • Principles, difficulties and limits of the modeling of systems with multiple inputs and multiple outputs.
  • Design and implementation of control of systems with multiple inputs and multiple outputs.
  • Main possible and observable behaviors which can occur in the nonlinear systems (equilibrium states, limit cycles, complex behaviors) and their evolution by variation of the parameters.
  • Basis of the theory of Lyapunov



The student will be able to:

  • To apprehend the implementation of the control of a process with multiple inputs and multiple outputs.
  • To begin the analysis of a nonlinear system by various techniques (qualitative, geometrical, and simulations)
  • To lean on numerical analysis (Matlab©) to establish, confirm, validate, simulate and implement the theoretical results discussed during the courses.

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...