This paper presents a global fractional approach from system identification to path planning; these results will be applied 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 aluminium rod is modeled. The coosrivcf algorithm enables to optimize as well the parameter coefficients and the commensurate order. The fractional flat output generates the input command so that the system follows that desired path.
- Design Engineering Division and Computers in Engineering Division
From System Identification to Path Planning Using Fractional Approach: A Thermal Application Example
Victor, S, Malti, R, Melchior, P, & Oustaloup, A. "From System Identification to Path Planning Using Fractional Approach: A Thermal Application Example." Proceedings of the ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 4: 7th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B and C. San Diego, California, USA. August 30–September 2, 2009. pp. 235-242. ASME. https://doi.org/10.1115/DETC2009-87014
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