Determination of a control function for dynamic systems of non-integer order

2018 ◽  
Author(s):  
Elena Aleksandrovna Postnova
Keyword(s):  
Dynamic Systems ◽  
Control Function ◽  
Integer Order

Model Verification of Mixed Dynamic Systems

1978 ◽  
Vol 100 (2) ◽  
pp. 266-273 ◽  
Author(s):  
J. D. Chrostowski ◽  
D. A. Evensen ◽  
T. K. Hasselman
Keyword(s):  
Experimental Data ◽  
Parameter Estimation ◽  
Dynamic Systems ◽  
Statistical Parameter ◽  
Model Verification ◽  
Passive Networks ◽  
Parameter Values ◽  
Basic Configuration ◽  
General Method

A general method is presented for using experimental data to verify math models of “mixed” dynamic systems. The term “mixed” is used to suggest applicability to combined systems which may include interactive mechanical, hydraulic, electrical, and conceivably other types of components. Automatic matrix generating procedures are employed to facilitate the modeling of passive networks (e.g., hydraulic, electrical). These procedures are augmented by direct matrix input which can be used to complement the network model. The problem of model verification is treated in two parts; verification of the basic configuration of the model and determination of the parameter values associated with that configuration are addressed sequentially. Statistical parameter estimation is employed to identify selected parameter values, recognizing varying degrees of uncertainty with regard to both experimental data and analytical results. An example problem, involving a coupled hydraulic-mechanical system, is included to demonstrate application of the method.

Practical Applications of Radioimmunoassay Theory. A Simple Procedure Yielding Linear Calibration Curves

1975 ◽  
Vol 21 (8) ◽  
pp. 1113-1120 ◽  
Author(s):  
Alberto A Fernandez ◽  
Harold G Loeb
Keyword(s):  
Control Function ◽  
Simple Procedure ◽  
Fundamental Equation ◽  
Ligand Concentration ◽  
Linear Calibration ◽  
Equilibrium Conditions ◽  
Practical Applications ◽  
Calibration Curves ◽  
Assay Conditions

Abstract The fundamental equation describing radioimmunoassays under equilibrium conditions has been recast into a "working equation" in a form more directly applicable to the requirements of the analytical laboratory. Plotting total counts over counts bound vs. ligand concentration, which is conveniently linear over most of its course, is shown readily to yield quantitative data relative to binding site concentration and the equilibrium constant and to provide a means for deriving apparent labeled ligand concentration. Such data are helpful in establishing optimum assay conditions and can serve a continuing quality-control function. The working equation also characterizes the binder and tracer reagents used in the assay. The determination of working-equation parameters has been illustrated for the vitamin B12 assay. Data are presented for seven different assay procedures, involving more than 600 calibration curves and 100 different lots of binding agent and tracer reagent, showing a Consistently High Correlation Coefficient (R> 0.990), between ligand concentration and the response variable.

Graphical Determination of Optimum Trajectories for Third-Order Systems

1970 ◽  
Vol 92 (2) ◽  
pp. 271-278
Author(s):  
Yousri M. Abd-El-Fattah
Keyword(s):  
Control Function ◽  
Maximum Error ◽  
Control Signal ◽  
Graphical Solution ◽  
Third Order ◽  
Two Phase ◽  
State Trajectory ◽  
Optimum Trajectories ◽  
Initial States

The present paper explains the use of two phase planes in the graphical determination of optimum trajectories for third-order systems, depending on the sign of a single control function. The control function is defined on these planes by means of different contours. Accordingly, the control signal is known at the different points on these planes. Once the control signal is found, the state trajectory is determined. Most of the arbitrary initial states are treated and, in particular, the cases of separate steps in each of the error and its first as well as second time derivatives. This work also explains the use of the graphical solution in obtaining the maximum error and switching times.

scholarly journals Ketaatan Muslim Indonesia terhadap Penetapan Hari Raya antara Itsbat Pemerintah dan Ikhbar Ormas Islam

2019 ◽  
Vol 6 (2) ◽  
pp. 127-141
Author(s):  
Nihayatur Rohmah
Keyword(s):  
Religious Beliefs ◽  
Control Function ◽  
Muslim Community ◽  
Social Organizations ◽  
Intrinsic Values ◽  
Strict Control ◽  
The Government ◽  
Very High

The issue of “hisab rukyat” in terms of determining the beginning of the Islamic month often makes a difference. Government efforts through itsbat trial basically are based on efforts to achieve uniformity, benefit and unity of Indonesian Muslims. But in the level of reality, it turns out that each party (read; religio social organizations) issued its own decision. Religion has an influence as a motivation in encouraging individuals to carry out an activity, because actions carried out against the background of religious beliefs are considered to have an element of purity and obedience. This connection will influence someone to do something. Then came the Islamic groups who wanted to compromise with the government and Islamic groups who continued to fight outside the system with the wider community. Regulations are less effective if the degree of compliance only revolves around compliance (obeying for fear of being sanctioned) or identification (obeying only because of fear of good relations with someone being damaged). Conversely, if the degree of compliance reaches internalization (obedience to a rule because he truly feels that the rule is material and his spirit is in accordance with the intrinsic values ??adopted), it means the quality of the effectiveness of the regulation is very high, so the system runs according to the rules existing without stressing the strict control function. Of the three motives of obedience it is very likely to be the basis for consideration of the Muslim community in Indonesia to prefer to compromise with the government or mass organizations in terms of the determination of the holiday.

scholarly journals The Invariance Determination of the Complex Electrical System Output of

2021 ◽  
Vol 264 ◽  
pp. 01024
Author(s):  
Tokhir Makhmudov
Keyword(s):  
Dynamic Systems ◽  
Matrix Theory ◽  
Controller Synthesis ◽  
Electrical System ◽  
Electrical Systems ◽  
System Output ◽  
System Mode ◽  
Small Disturbances

This article discusses the issues of applying the technology of embedding systems to study the invariance of the output of complex controlled electrical systems under small disturbances as stationary deterministic multidimensional dynamic systems. The technique of controller synthesis based on the modern matrix theory is presented. The synthesis of the regulator of the model of a multi-machine electrical system is obtained, which makes it possible to analyze the influence of the parameters of the electrical system mode.

Determination of Significance of Stress Stiffening Effects in Flexible Multibody Dynamic Systems

1992 ◽  
Author(s):  
Jeha Ryu ◽  
Sang Sup Kim ◽  
Sung-Soo Kim
Keyword(s):  
Dynamic Simulation ◽  
Dynamic Systems ◽  
Stiffness Matrix ◽  
Multibody Systems ◽  
Flexible Body ◽  
Multibody Dynamic ◽  
Flexible Multibody ◽  
Multibody Dynamic System ◽  
Modal Stress

Abstract This paper presents a criterion for determining whether or not a flexible multibody dynamic system reveals stress stiffening effects. In the proposed criterion, the eigenvalue variation that results from adding the modal stress stiffness matrix to the conventional linear modal stiffness matrix is examined numerically before actual dynamic simulation. If the variation is sufficiently large for any flexible body, then stress stiffening effects are said to be significant and must be included in dynamic simulation of flexible multibody systems. Since the criterion uses the most general stress stiffness matrix, which can be represented as a function of applied and constraint reaction loads as well as of a system of 12 inertial loads, this criterion is applicable to any general flexible multibody dynamic systems. Several numerical results are presented to show the effectiveness of the proposed criterion.

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