Fractional order system identification using a joint multi-innovation fractional gradient descent algorithm [PDF]
Scientific ReportsThis paper proposes a joint multi-innovation fractional gradient descent identification algorithm for fractional order systems. First, the flexibility of fractional calculus is leveraged to design a joint fractional gradient descent algorithm capable of ...
Zishuo Wang +3 more
doaj +2 more sources
Adaptive Control of Milling Forces under Fractional Order Holds [PDF]
, 2007 This paper introduces a novel discrete-time modelreference based control of the tool-work-piece interaction force in a milling process. The novelty of the scheme relies on the use of a fractional order hold (FROH) instead of a traditional zero order hold
De la Sen Parte, Manuel +1 more
core +3 more sources
Fractional transformations of generalised functions [PDF]
, 2009 A distributional theory of fractional transformations is developed. A constructive approach, based on the eigenfunction expansion method pioneered by A. H.
Lamb, Wilson +2 more
core +4 more sources
Stabilization of a fractional-order chain of integrators: a contraction-based approach [PDF]
, 2013 In this paper, stabilization of a chain of fractional-order integrators is attempted. The stability is proved using contraction analysis.
SPURGEON, S +8 more
core +1 more source
Analysis of discrete time schemes for milling forces control under fractional order holds [PDF]
, 2013 In this paper, discrete time model reference control schemes for practical milling using different discretization of the continuous-time plant are presented. First, a basic controller scheme is addressed where a fractional order hold with pre-fixed value
De la Sen, Manuel +11 more
core +1 more source
Numerical simulation of the fractional-order control system [PDF]
, 2007 Multi-term fractional differential equations have been used to simulate fractional-order control system. It has been demonstrated the necessity of the such controllers for the more efficient control of fractionalorder dynamical system. In this paper, the
Liu, Fawang, Cai, Xin
core +2 more sources
Fractional variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
core +1 more source
Unitary fractional-order derivative operators for quantum computation
, 2021 Along with recent progresses in quantum computation technologies, researchers have addressed practical computational supremacies of quantum computers. The research works in the quantum computation domain mainly focus on progressive quantum algorithms and
Alagoz B.B., Alagoz S.
core +1 more source
Fractional power NARX model identification using a harmony search algorithm [PDF]
, 2012 A novel type of discrete-time fractional-powernonlinear autoregressive with exogenous input (FPNARX) modelis introduced for system identification, modeling and prediction.Parameter estimation of such a model is a nonlinear optimizationproblem.
Zhao, Yifan +7 more
core +1 more source
ABC Algorithm Based System Modelling for Tuning the Fractional Order PID Controllers
Elektronika ir Elektrotechnika, 2018 The effectiveness of the model structure for designing control system is highly depending on the right selection of tuning parameters belonging of the algorithms. No doubt, preferable parameter estimation leads to better results for the modelling process.
Halit Senberber, Aytekin Bagis
doaj +1 more source