Search Results - "Macias, Michal"
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1
Triple Estimation of Fractional Variable Order, Parameters, and State Variables Based on the Unscented Fractional Order Kalman Filter
Published in Sensors (Basel, Switzerland) (06-12-2021)“…In this paper, a method for states, parameters, and fractional order estimation is presented. The proposed method is an extension of the traditional dual…”
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Journal Article -
2
MEMS Accelerometer Noises Analysis Based on Triple Estimation Fractional Order Algorithm
Published in Sensors (Basel, Switzerland) (01-01-2022)“…This paper is devoted to identifying parameters of fractional order noises with application to noises obtained from MEMS accelerometer. The analysis and…”
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3
Fractional-Order Identification of Gyroscope MEMS Noise Under Various Temperature Conditions
Published in Sensors (Basel, Switzerland) (25-11-2024)“…This paper deals with identifying the fractional-order noise parameters for MEMS gyroscopes under various temperature conditions. The significant contribution…”
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4
Derivation, interpretation, and analog modelling of fractional variable order derivative definition
Published in Applied mathematical modelling (01-07-2015)“…The paper presents derivation and interpretation of one type of variable order derivative definitions. For mathematical modelling of considering definition the…”
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5
Diffusion process modeling by using fractional-order models
Published in Applied mathematics and computation (15-04-2015)“…This paper deals with a concept and description of a RC network as an electro-analog model of diffusion process which enables to simulate heat dissipation…”
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6
Analog realization of fractional variable-type and -order iterative operator
Published in Applied mathematics and computation (01-11-2018)“…The aim of the paper is to give a method for modeling and practical realization of iterative fractional variable-type and -order difference operator. Based on…”
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7
On the Recursive Fractional Variable-Order Derivative: Equivalent Switching Strategy, Duality, and Analog Modeling
Published in Circuits, systems, and signal processing (01-04-2015)“…In this paper, a switching strategy for recursive fractional variable-order derivative is proposed. This strategy can be interpreted as an explanation of order…”
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8
Numerical schemes for initialized constant and variable fractional-order derivatives: matrix approach and its analog verification
Published in Journal of vibration and control (01-05-2016)“…This paper presents a method for including initial conditions in recursive constant and variable fractional-order derivatives. The initial conditions are…”
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Dual Estimation of Fractional Variable Order Based on the Unscented Fractional Order Kalman Filter for Direct and Networked Measurements
Published in Circuits, systems, and signal processing (01-06-2016)“…The paper is devoted to variable order estimation process when measurements are obtained in two different ways: directly and by lossy network. Since the…”
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10
Analog Modeling of Fractional Switched Order Derivative Using Different Switching Schemes
Published in IEEE journal on emerging and selected topics in circuits and systems (01-09-2013)“…The paper presents comparison of two different switching schemes of variable order derivatives. The first one is additive-switching scheme, when change of…”
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11
An alternative recursive fractional variable-order derivative definition and its analog validation
Published in ICFDA'14 International Conference on Fractional Differentiation and Its Applications 2014 (01-06-2014)“…The paper presents an alternative recursive definition of fractional variable-order derivative (so-called ε-type) and its switching scheme. Nextly, an analog…”
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Conference Proceeding -
12
New recursive approximation of fractional order derivative and its application to control
Published in 2016 17th International Carpathian Control Conference (ICCC) (01-05-2016)“…The paper presents a new method for approximation of fractional order derivative based on recursive definition with infinite constant initial conditions…”
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Conference Proceeding -
13
Anomalous diffusion modeling using ultracapacitors in domino ladder circuit
Published in Microelectronics (01-02-2019)“…This article deals with the anomalous diffusion modeling using analog and mathematical models. To model the anomalous diffusion process the analog circuit is…”
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14
Comparison of variable fractional order PID controller for different types of variable order derivatives
Published in Proceedings of the 14th International Carpathian Control Conference (ICCC) (01-05-2013)“…In this paper tuning algorithm of variable fractional PID controller for switching objective function is presented. The time constant parameters of PID…”
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Conference Proceeding -
15
On a new definition of fractional variable-order derivative
Published in Proceedings of the 14th International Carpathian Control Conference (ICCC) (01-05-2013)“…In this paper, a new definition of fractional variable-order derivative is proposed, derived, and analyzed. It is based on a different numerical scheme of…”
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Conference Proceeding -
16
Modeling of electrical drive system with flexible shaft based on fractional calculus
Published in Proceedings of the 14th International Carpathian Control Conference (ICCC) (01-05-2013)“…In this paper a system containing two electrical motors connected by flexible shaft is taken into consideration. The flexible shaft introduces an additional…”
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Conference Proceeding -
17
Initial conditions for a recursive constant and variable fractional-order derivative and its verification based on analog model
Published in Proceedings of the 2014 15th International Carpathian Control Conference (ICCC) (01-05-2014)“…The paper presents a method for including initial conditions into the recursive constant and variable fractional-order derivative definition. The initial…”
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Conference Proceeding -
18
Switching scheme, equivalence, and analog validation of the alternative fractional variable-order derivative definition
Published in 52nd IEEE Conference on Decision and Control (01-12-2013)“…In this paper, an alternative definition of variable-order differ-integral is proposed, both in a difference equation and matrix form. The derivation and…”
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Conference Proceeding -
19
Equivalent switching strategy and analog validation of the fractional variable order derivative definition
Published in 2013 European Control Conference (ECC) (01-07-2013)“…The paper presents switching strategy that is equivalent to one type of variable order derivative definitions. The numerical scheme, based on matrix approach,…”
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Conference Proceeding -
20
Solution of fractional variable order differential equation
Published in 2015 American Control Conference (ACC) (01-07-2015)“…The aim of this paper is to introduce an approach for analytical solving fractional variable order linear differential equations. The approach is based on…”
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Conference Proceeding