FROM SYSTEM IDENTIFICATION TO PATH PLANNING USING FRACTIONAL APPROACH: A THERMAL APPLICATION EXAMPLE

This paper presents a global fractional approach from system identification to path planning; these results will be ap plied to a typical fractional application: a thermal diffusion in an aluminium rod. The objective is to follow a desired path using fractional linear flatness. However, models of true systems are not always known. Through a black box identification using a fractional model, the temperature versus the heat flux of an a luminium rod is modeled. The coosrivcf algorithm enables to optimize as well the parameter coefficients and the commensura te order. The fractional flat output generates the input comman d so that the system follows that desired path.

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