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This article deals with modeling and identification of fractional systems in the time domain. Fractional state-space representation is defined, and a stability condition for fractional systems given. A new identification method for fractional systems is then proposed. The method is based on the generalization to fractional orders of classical methods based on State Variable Filters (SVF). A particular...
Complex-fractional systems are systems that are governed by a differential equation characterized by complex order fractional derivatives. A new modeling tool is proposed and used to study these systems: complex order state-space representation. The tool results from the extension of the differentiation order, from order 1 to complex order, in the state equation of classical state-space representation:...
Modem vehicles are more and more equipped with electronic control systems. Among these systems, suspensions have been a large field of study. Whether the suspension system is active, semi-active or passive, it must filter the road vibrations without neglecting vehicle ride performance. In this paper, it is shown through different strategies how such goals can be contradictory, especially when dealing...
This paper concerns the application of flatness principle to fractional MIMO systems in the pseudo-state-space representation. The aim here is to compute linear flat outputs for linear controllable time-invariant systems in polynomial matrix form. The defining matrices expressed with the system variables in terms of a linear flat output and its derivatives define the kernel of a polynomial matrix...
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