System identification with measurement noise compensation based on polynomial modulating function for fractional-order systems with a known time-delay

2018 ◽  
Vol 79 ◽  
pp. 62-72 ◽  
Author(s):  
Zhe Gao ◽  
Xinchang Lin ◽  
Yan Zheng
Keyword(s):  
Time Delay ◽  
System Identification ◽  
Fractional Order ◽  
Measurement Noise ◽  
Fractional Order Systems ◽  
Noise Compensation

scholarly journals Finite-time stability of linear stochastic fractional-order systems with time delay

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Lassaad Mchiri ◽  
Abdellatif Ben Makhlouf ◽  
Dumitru Baleanu ◽  
Mohamed Rhaima
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Finite Time ◽  
Stochastic Analysis ◽  
Fractional Order Systems ◽  
Time Stability ◽  
Finite Time Stability ◽  
Analysis Techniques ◽  
Generalized Gronwall Inequality ◽  
Stability Of The Solution

AbstractThis paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for $\alpha \in (\frac{1}{2},1)$ α ∈ ( 1 2 , 1 ) . Under the generalized Gronwall inequality and stochastic analysis techniques, the finite-time stability of the solution for linear stochastic fractional-order systems with time delay is investigated. We give two illustrative examples to show the interest of the main results.

Practical stabilization of time-delay fractional-order systems by parametric controllers

2019 ◽  
Vol 95 ◽  
pp. 211-220 ◽  
Author(s):  
Narges Tahmasbi ◽  
Hojjat Ahsani Tehrani ◽  
Javad Esmaeili
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Fractional Order Systems ◽  
Practical Stabilization

scholarly journals Recursive system identification for coefficient estimation of continuous-time fractional order systems

2021 ◽  
Vol 54 (7) ◽  
pp. 114-119
Author(s):  
Jean-François Duhé ◽  
Stéphane Victor ◽  
Pierre Melchior ◽  
Youssef Abdelmounen ◽  
François Roubertie
Keyword(s):  
System Identification ◽  
Fractional Order ◽  
Continuous Time ◽  
Fractional Order Systems ◽  
Coefficient Estimation ◽  
Recursive System

New integral inequalities and asymptotic stability of fractional-order systems with unbounded time delay

2018 ◽  
Vol 94 (2) ◽  
pp. 1523-1534 ◽  
Author(s):  
Bin-Bin He ◽  
Hua-Cheng Zhou ◽  
Chun-Hai Kou ◽  
YangQuan Chen
Keyword(s):  
Time Delay ◽  
Asymptotic Stability ◽  
Fractional Order ◽  
Integral Inequalities ◽  
Fractional Order Systems

A Frequency-Domain Identification Algorithm for MIMO Fractional Order Systems with Time-Delay in State

2011 ◽  
Vol 383-390 ◽  
pp. 4397-4404
Author(s):  
Zeng Liao ◽  
Cheng Peng ◽  
Yong Wang
Keyword(s):  
Genetic Algorithm ◽  
Time Delay ◽  
Frequency Domain ◽  
Fractional Order ◽  
Identification Algorithm ◽  
Fractional Order Systems ◽  
Subspace Method ◽  
Domain Identification ◽  
Frequency Domain Identification ◽  
Fractional Differential

The system identification problem of Multi-Input Multi-Output fractional order systems with Time-Delay is studied. A Frequency-Domain identification algorithm is presented, which combines genetic algorithm and subspace method for fractional order systems with time-delay in state. The genetic algorithm is used to identify fractional differential order and Time-Delay parameter. And the state space model is obtained by using frequency-domain subspace method when fractional differential order and time-delay parameter are fixed. Numerical simulation results validate the proposed algorithm.

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