Relations Between Fractional-Order Model Parameters and Lung Pathology in Chronic Obstructive Pulmonary Disease

Ionescu, Clara-Mihaela; Keyser, Robin De

doi:10.1109/tbme.2008.2004966

Cited by 109 publications

(59 citation statements)

References 30 publications

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“…This approach has received considerable attention during the past decade in engineering applications, including both process modeling [11,12] and controller design [13][14][15]. The fractional order…”

Section: Fig1 Simple Configuration For the Activated Sludge Processmentioning

confidence: 99%

Fractional Order Control for Aeration of Activated Sludge Wastewater Treatment Processes

Li¹,

Zhang²,

Wei³

et al. 2016

Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications

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Abstract. In this paper, the design scheme of fractional order proportional integral (FOPI) controller for the second order plus time delay model of aeration of activated sludge wastewater treatment process are presented. It is found that the two controllers designed by the proposed tuning method not only make the system stable, but also improve the performance for the aeration control of activated sludge wastewater treatment processes. Simulation results are presented to validate the proposed tuning schemes. Furthermore, from the simulation results, it can be seen that the fractional order PI controller outperforms the integer order PID controller.

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Section: Fig1 Simple Configuration For the Activated Sludge Processmentioning

confidence: 99%

Fractional Order Control for Aeration of Activated Sludge Wastewater Treatment Processes

Li¹,

Zhang²,

Wei³

et al. 2016

Proceedings of the 2016 4th International Conference on Machinery, Materials and Information Technology Applications

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“…In fact, good methodologies for the systematic analysis of the CS are still lacking. Common properties to CS are the absence of characteristic length-scale, long range correlations and persistent memory, which are also associated to fractional order systems [4,19,20,33], meaning that CS reveal power-law (PL) behavior [14,40].…”

Section: Introductionmentioning

confidence: 99%

Power Law Behavior and Self-Similarity in Modern Industrial Accidents

Lopes

Machado

2015

Int. J. Bifurcation Chaos

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This paper analyzes several natural and man-made complex phenomena in the perspective of dynamical systems. Such phenomena are often characterized by the absence of a characteristic length-scale, long range correlations and persistent memory, which are features also associated to fractional order systems. For each system, the output, interpreted as a manifestation of the system dynamics, is analyzed by means of the Fourier transform. The amplitude spectrum is approximated by a power law function and the parameters are interpreted as an underlying signature of the system dynamics. The complex systems under analysis are then compared in a global perspective in order to unveil and visualize hidden relationships among them.

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“…A fractional complex transform is proposed to convert a FDE and its geometrical explanation is given [25,26]. A fractional order is utilized to separate the chronic obstructive pulmonary disease subjects among the healthy subject groups [27]. However the role of the exponents characterizing the FDE has not been clarified well from a physical point of view, as stated in papers [28,29].…”

Section: Introductionmentioning

confidence: 99%

Dynamical process of complex systems and fractional differential equations

Hara¹,

Tamura

2013

Open Physics

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Abstract:Behavior of dynamical process of complex systems is investigated. Specifically we analyse two types of ideal complex systems. For analysing the ideal complex systems, we define the response functions describing the internal states to an external force. The internal states are obtained as a relaxation process showing a "power law" distribution, such as scale free behaviors observed in actual measurements. By introducing a hybrid system, the logarithmic time, and double logarithmic time, we show how the "slow relaxation" (SR) process and "super slow relaxation" (SSR) process occur. Regarding the irregular variations of the internal states as an activation process, we calculate the response function to the external force. The behaviors are classified into "power", "exponential", and "stretched exponential" type. Finally we construct a fractional differential equation (FDE) describing the time evolution of these complex systems. In our theory, the exponent of the FDE or that of the power law distribution is expressed in terms of the parameters characterizing the structure of the system. PACS

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Relations Between Fractional-Order Model Parameters and Lung Pathology in Chronic Obstructive Pulmonary Disease

Cited by 109 publications

References 30 publications

Fractional Order Control for Aeration of Activated Sludge Wastewater Treatment Processes

Fractional Order Control for Aeration of Activated Sludge Wastewater Treatment Processes

Power Law Behavior and Self-Similarity in Modern Industrial Accidents

Dynamical process of complex systems and fractional differential equations

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