Optimal control of the digital twin of the enterprise.

Author(s):  
S.N. Masaev ◽  

The enterprise is presented as a digital twin of interrelated production processes, support processes and administrative processes. A semantic indicator for a general assessment of the state of the system at different points in time is given. The semantic indicator is applied to assess the optimal control by Kalman filter. The obtained estimates of optimal control make it possible to take into account the resources consumed by the processes in the past periods. The obtained optimal control can be used with other control methods through control and observation matrices. Estimates of the optimal ratio of values are obtained: the amount of the resource in the system, the method of attracting the resource, the execution time of the method, the computational complexity of the method.

Sensors ◽  
2019 ◽  
Vol 19 (5) ◽  
pp. 986 ◽  
Author(s):  
Feng Yang ◽  
Yujuan Luo ◽  
Litao Zheng

The cubature Kalman filter (CKF) has poor performance in strongly nonlinear systems while the cubature particle filter has high computational complexity induced by stochastic sampling. To address these problems, a novel CKF named double-Layer cubature Kalman filter (DLCKF) is proposed. In the proposed DLCKF, the prior distribution is represented by a set of weighted deterministic sampling points, and each deterministic sampling point is updated by the inner CKF. Finally, the update mechanism of the outer CKF is used to obtain the state estimations. Simulation results show that the proposed algorithm has not only high estimation accuracy but also low computational complexity, compared with the state-of-the-art filtering algorithms.


Energies ◽  
2021 ◽  
Vol 14 (22) ◽  
pp. 7573
Author(s):  
Syed Abuzar Bacha ◽  
Gulzar Ahmad ◽  
Ghulam Hafeez ◽  
Fahad R. Albogamy ◽  
Sadia Murawwat

Compensation of data loss in the state estimation plays an indispensable role in efficient and stable control and communication systems. However, accurate compensation of data loss in the state estimation is extremely challenging issue. To cater this challenging issue, two techniques such as the open-loop Kalman filter and the compensating closed-loop Kalman filter have emerged. The closed-loop technique compensates for the missing data using the autoregressive model. However, the autoregressive model used only past measurements for data loss compensation. Considering only one parameter, i.e., the past measurements, is insufficient and leads to inaccurate state estimation. Thus, in this work, autoregressive moving average with exogenous inputs model considers three parameters, i.e., the past measurements, the input signal, and the sensor noise, simultaneously to compensate data loss in state estimation. To endorse the effectiveness and applicability of the proposed model, a standard mass-spring-damper is employed in the case study. Simulation results show that the proposed model outperforms the existing autoregressive models in terms of performance parameters.


1962 ◽  
Vol 84 (1) ◽  
pp. 91-99 ◽  
Author(s):  
W. L. Nelson

This paper considers the problem of optimal (minimum-time) on-off regulation of a dynamic plant whose state is known only at periodic instants of time. It is shown that on-off control inputs which change value only at the sampling instants inherently lack the capability of providing accurate (dead-beat) control. If, however, the on-off controller is modified to include pulse width control, it not only has the capability for accurate control, but also has the capability for optimal control comparable to that of a saturating amplifier controller. In addition, the optimal pulse width control inputs can be specified as a function of the state of the plant at each sampling instant. The application of this method is discussed in detail for the cases of pure inertial and second-order underdamped plants.


1997 ◽  
Vol 119 (3) ◽  
pp. 528-535
Author(s):  
D. Shevitz ◽  
B. Paden

In this paper we develop an observer for nonlinear systems with quantized outputs. The observer is a recursive algorithm based on the intersection of sets: each measurement defines a set in state space which, by recursive intersection, is used to refine knowledge of the state. We develop the necessary data structures and procedures to implement the algorithm numerically. Comparisons are drawn between the proposed observer, the Kalman filter, and the equations of nonlinear filtering. Estimates are given for the error due to the triangulation of the set of consistent states and the computational complexity of the numerical implementation of our observer. Finally, the algorithm is applied to two example systems.


Author(s):  
VICTOR BURLACHUK

At the end of the twentieth century, questions of a secondary nature suddenly became topical: what do we remember and who owns the memory? Memory as one of the mental characteristics of an individual’s activity is complemented by the concept of collective memory, which requires a different method of analysis than the activity of a separate individual. In the 1970s, a situation arose that gave rise to the so-called "historical politics" or "memory politics." If philosophical studies of memory problems of the 30’s and 40’s of the twentieth century were focused mainly on the peculiarities of perception of the past in the individual and collective consciousness and did not go beyond scientific discussions, then half a century later the situation has changed dramatically. The problem of memory has found its political sound: historians and sociologists, politicians and representatives of the media have entered the discourse on memory. Modern society, including all social, ethnic and family groups, has undergone a profound change in the traditional attitude towards the past, which has been associated with changes in the structure of government. In connection with the discrediting of the Soviet Union, the rapid decline of the Communist Party and its ideology, there was a collapse of Marxism, which provided for a certain model of time and history. The end of the revolutionary idea, a powerful vector that indicated the direction of historical time into the future, inevitably led to a rapid change in perception of the past. Three models of the future, which, according to Pierre Nora, defined the face of the past (the future as a restoration of the past, the future as progress and the future as a revolution) that existed until recently, have now lost their relevance. Today, absolute uncertainty hangs over the future. The inability to predict the future poses certain challenges to the present. The end of any teleology of history imposes on the present a debt of memory. Features of the life of memory, the specifics of its state and functioning directly affect the state of identity, both personal and collective. Distortion of memory, its incorrect work, and its ideological manipulation can give rise to an identity crisis. The memorial phenomenon is a certain political resource in a situation of severe socio-political breaks and changes. In the conditions of the economic crisis and in the absence of a real and clear program for future development, the state often seeks to turn memory into the main element of national consolidation.


1996 ◽  
Vol 28 (1-2) ◽  
pp. 85-92
Author(s):  
Valentin V. Ostapenko ◽  
A. P. Yakovleva ◽  
I. S. Voznyuk ◽  
V. M. Rogov

Author(s):  
Walter Lowrie ◽  
Alastair Hannay

A small, insignificant-looking intellectual with absurdly long legs, Søren Kierkegaard (1813–1855) was a veritable Hans Christian Andersen caricature of a man. A strange combination of witty cosmopolite and melancholy introvert, he spent years writing under a series of fantastical pseudonyms, lavishing all the splendor of his mind on a seldom-appreciative world. He had a tragic love affair with a young girl, was dominated by an unforgettable Old Testament father, fought a sensational literary duel with a popular satiric magazine, and died in the midst of a violent quarrel with the state church for which he had once studied theology. Yet this iconoclast produced a number of brilliant books that have profoundly influenced modern thought. This classic biography presents a charming and warmly appreciative introduction to the life and work of the great Danish writer. It tells the story of Kierkegaard's emotionally turbulent life with a keen sense of drama and an acute understanding of how his life shaped his thought. The result is a wonderfully informative and entertaining portrait of one of the most important thinkers of the past two centuries.


Author(s):  
Е.Ю. Соколов ◽  
А.И. Адаев ◽  
А.А. Фомин ◽  
Л.Г. Магурдумова

In article the importance of use of psychotherapeutic actions of self-control by employees of a dangerous profession is stated during the work in emergency situations. The state of health of fighters who before the direction in business trip were trained previously in self-control methods at different stages of performance of a fighting task, with a condition of group of the military personnel who didn’t pass preliminary training in energy saving methods is compared.


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