Filling The Gap Between The Bilinear and The Backward-Difference Transforms: An Interactive Design Approach

1997 ◽  
Vol 34 (4) ◽  
pp. 331-337 ◽  
Author(s):  
Mohamad Adnan Al-Alaoui

A class of stable, first order, s-to-z transforms is presented. The transforms are obtained by interpolating the traditional trapezoidal and rectangular integration rules. An interactive design approach is introduced by varying one parameter. The sampling rate would be another parameter that may be varied to obtain the lowest sampling rate for the desired response.

Author(s):  
Antonio Lanzotti ◽  
Francesco Carbone ◽  
Stanislao Grazioso ◽  
Fabrizio Renno ◽  
Michele Staiano

Author(s):  
Amjad Al-Hamood ◽  
Hazim U. Jamali ◽  
Oday I. Abdullah ◽  
Adolfo Senatore ◽  
Hakan Kaleli

Sensors ◽  
2018 ◽  
Vol 18 (9) ◽  
pp. 2775 ◽  
Author(s):  
Jung Lee ◽  
Mi Choi

This paper deals with the strapdown integration of attitude estimation Kalman filter (KF) based on inertial measurement unit (IMU) signals. In many low-cost wearable IMU applications, a first-order is selected for strapdown integration, which may degrade attitude estimation performance in high-speed angular motions. The purpose of this research is to provide insights into the effect of the strapdown integration order and sampling rate on the attitude estimation accuracy for low-cost IMU applications. Experimental results showed that the effect of integration order was small when the angular velocity was low and the sampling rate was large. However, as the angular velocity increased and the sampling rate decreased, the effect of integration order increased, i.e., obviously, the third-order KF resulted in better estimations than the first-order KF. When comparing the case where both transient matrix and process noise covariance matrix are applied to the corresponding order and the case where only the transient matrix is applied to the corresponding order but the process noise covariance matrix for the first-order is still used, both cases had almost equivalent estimation accuracy. However, in terms of the calculation cost, the latter case was more economical than the former, particularly for the third-order KF (i.e., the ratio of the former to the latter is 1.22 to 1).


Author(s):  
Kulkarni Manasi B ◽  
Joshi Anagha M

Objective: The aim of the present work is to use experimental design to screen and optimize experimental variables for developing a colorimetric first-order derivative method for determining content of serralysin (SER) using biuret and Folin–Ciocalteu phenol reagent for stable color development. The method is based on the reaction of peptide bond in the protein with Biuret reagent in alkaline medium and further reaction of remaining tryptophan and tyrosine residues with Folin–Ciocalteu Phenol reagent to form a stable blue-colored complex (first-order derivative λmax 620 nm).Materials and Methods: A two-level full factorial design was utilized to screen the effect of Volume of NaOH (A), volume of biuret reagent (B), volume of Folin–Ciocalteu phenol reagent (C), and concentration of NaOH (D) on the formation of blue-colored SER - reagent complex (response - absorbance). A box Behnken experimental design with response surface methodology was then utilized to evaluate the main interaction and quadratic effects of these factors on the selected response.Results: With the help of a response surface plot and contour plot, the optimum values of the selected factors were determined and used for further experiments. These values were volume of NaOH (A) of 1.0 mL, volume of biuret reagent (B) of 0.25 mL, and volume of Folin–Ciocalteu phenol reagent (C) of 10 μL. The proposed method was validated according to the ICH Q2(R1) method validation guidelines. The developed colorimetric first-order derivative method was found to be simple, accurate, rapid, sensitive, precise, and economic. Further optimization of the method with experimental design approach makes it convenient for use in laboratory.Conclusion: The results of present study have clearly shown that an experimental design approach may be effectively applied to the optimization of a modified visible spectrophotometric method for estimation of SER in bulk and in pharmaceutical formulation with the least number of experimental runs possible. The method can be employed successfully for the estimation of SER in both bulk and tablet dosage form. 


1995 ◽  
Vol 29 (5) ◽  
pp. 1343-1351 ◽  
Author(s):  
K.V. Ellis ◽  
P.C. Rodrigues

SIMULATION ◽  
2017 ◽  
Vol 94 (3) ◽  
pp. 259-274 ◽  
Author(s):  
Fernando J Barros

Geometric integrators play an essential role for simulating second-order energy preserving systems, offering an alternative to the decomposition of systems into first-order Ordinary Differential Equations. This approach, although commonly used nowadays in modeling and simulation software, is not acceptable when long simulation runs are required. In this work we develop a modular representation of geometric, adaptive step-size integrators using the Heterogeneous Flow Systems Specification (HyFlow) formalism. Modularity is achieved in HyFlow through the use of an explicit definition of sampling that is treated as a first-order construct, enabling a novel representation of continuous systems and their seamless integration. We show that the HyFlow representation enables the interoperability of geometrical integrators with other families of models including, for example, conventional integrators, enhancing the ability to represent complex systems. HyFlow sampling enables geometric integrators to operate asynchronously, contributing to simulation efficiency by allowing the sampling rate to de defined independently by each component. We demonstrate that HyFlow-based geometric integrators can be used to model systems with a dynamic topology. In addition, we show that the modifying model topology at run-time can provide an effective solution to some systems exhibiting Zeno behavior.


Author(s):  
Giuseppe Di Gironimo ◽  
Carmelo Vincenzo Labate ◽  
Fabrizio Renno ◽  
Mikko Siuko ◽  
Antonio Lanzotti ◽  
...  

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