Biomaterial Database

Identifiability of fractional order systems using input output frequency contents. 2010

Peyman Nazarian, and Mohammad Haeri, and Mohammad Saleh Tavazoei

Electrical Engineering Department, Islamic Azad University, Science and Research Branch, Tehran, Iran. pay_naz@yahoo.com

In this paper, issues related to the identifiability of a fractional order system having its input and output frequency contents are discussed. The effects of the commensurate order alpha in the identifiability of the model structure and model parameters are analytically studied. It is shown that both identifiabilities (model structure and model parameters) are reduced remarkably for smaller values of alpha. This phenomenon is observed even though the input signals are rich enough and system belongs to the model set. Our understanding is that the problem arises since differences among different members of the model set fall beyond the practically recognizable precision range. The issue is more problematic when alpha is smaller and measurements are noisy.

UI	MeSH Term	Description	Entries
D003365	Costs and Cost Analysis	Absolute, comparative, or differential costs pertaining to services, institutions, resources, etc., or the analysis and study of these costs.	Affordability,Analysis, Cost,Cost,Cost Analysis,Cost Comparison,Cost Measures,Cost-Minimization Analysis,Costs and Cost Analyses,Costs, Cost Analysis,Pricing,Affordabilities,Analyses, Cost,Analyses, Cost-Minimization,Analysis, Cost-Minimization,Comparison, Cost,Comparisons, Cost,Cost Analyses,Cost Comparisons,Cost Measure,Cost Minimization Analysis,Cost, Cost Analysis,Cost-Minimization Analyses,Costs,Measure, Cost,Measures, Cost
D004738	Engineering	The practical application of physical, mechanical, and mathematical principles. (Stedman, 25th ed)	Engineerings
D000465	Algorithms	A procedure consisting of a sequence of algebraic formulas and/or logical steps to calculate or determine a given task.	Algorithm
D015233	Models, Statistical	Statistical formulations or analyses which, when applied to data and found to fit the data, are then used to verify the assumptions and parameters used in the analysis. Examples of statistical models are the linear model, binomial model, polynomial model, two-parameter model, etc.	Probabilistic Models,Statistical Models,Two-Parameter Models,Model, Statistical,Models, Binomial,Models, Polynomial,Statistical Model,Binomial Model,Binomial Models,Model, Binomial,Model, Polynomial,Model, Probabilistic,Model, Two-Parameter,Models, Probabilistic,Models, Two-Parameter,Polynomial Model,Polynomial Models,Probabilistic Model,Two Parameter Models,Two-Parameter Model
D017711	Nonlinear Dynamics	The study of systems which respond disproportionately (nonlinearly) to initial conditions or perturbing stimuli. Nonlinear systems may exhibit "chaos" which is classically characterized as sensitive dependence on initial conditions. Chaotic systems, while distinguished from more ordered periodic systems, are not random. When their behavior over time is appropriately displayed (in "phase space"), constraints are evident which are described by "strange attractors". Phase space representations of chaotic systems, or strange attractors, usually reveal fractal (FRACTALS) self-similarity across time scales. Natural, including biological, systems often display nonlinear dynamics and chaos.	Chaos Theory,Models, Nonlinear,Non-linear Dynamics,Non-linear Models,Chaos Theories,Dynamics, Non-linear,Dynamics, Nonlinear,Model, Non-linear,Model, Nonlinear,Models, Non-linear,Non linear Dynamics,Non linear Models,Non-linear Dynamic,Non-linear Model,Nonlinear Dynamic,Nonlinear Model,Nonlinear Models,Theories, Chaos,Theory, Chaos