DIFFERENTIATION, SENSITIVITY ANALYSIS AND IDENTIFICATION OF HYBRID MODELS Symbolic derivative of Simulink

Diffedge tool is a new methodology that eliminates the drawbacks of finite-difference approximations and the complexity to use the automatic differentiation. It combines the powerful of computer algebra system and block diagram structures for computing the derivative of a Simulink model with respect to the independent parameters. Diffedge calculates the symbolic derivative of the mathematical models described in the form of block diagram by the application of JM’s rules. The obtained symbolic derivative is also represented in graphic form (block diagrams) and can be used like any Simulink model. The benefits for the user are numerous. We are remaining in the Simulink environment. Diffedge does not require any task of programming and modification of the model. The visualisation of the partial derivatives is possible for any coordinates of the model. This presentation illustrates the capabilities of Diffedge , its implementation in the Matlab c ©environment and some applications.