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1

On the two possible types of THz generators

Tralle Igor, Zięba Paweł

Physics for Economy

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2023

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Vol. 5, No.1

11-32

EN

This paper is the review of our study published earlier in Acta Phys. Polon. A121, 522 (2012) [7],Phys Lett A378, 1364 (2014) [25],and [1]. It’s aim is to pay attention to the new possibilities related to producing the new types of THz generators. The suggested effects are the result of combining two effects: Gunn-effect in a material such as GaAs and undulator-like radiation, or "pumping wave" acting on the electrons which is the result of undulator field, while the second is the backward effect of radiation which is produced by electrons moving within such a micro-undulator. It is very probable that the effect scan be used to develop a new semiconductor-based room temperature source of the THz-radiation.

2

Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using fractional-order PD-based feedback control scheme

Soukkou Ammar, Soukkou Yassine, Haddad Sofiane, Benghanem Mohamed, Rabhi Abdelhamid

Archives of Control Sciences

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2023

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Vol. 33, No. 3

539--563

EN

This paper introduces a fractional-order PD approach (F-oPD) designed to control a large class of dynamical systems known as fractional-order chaotic systems (F-oCSs). The design process involves formulating an optimization problem to determine the parameters of the developed controller while satisfying the desired performance criteria. The stability of the control loop is initially assessed using the Lyapunov’s direct method and the latest stability assumptions for fractional-order systems. Additionally, an optimization algorithm inspired by the flight skills and foraging behavior of hummingbirds, known as the Artificial Hummingbird Algorithm (AHA), is employed as a tool for optimization. To evaluate the effectiveness of the proposed design approach, the fractional-order energy resources demand-supply (Fo-ERDS) hyperchaotic system is utilized as an illustrative example.

3

Dynamical properties of a modified chaotic Colpitts oscillator with triangular wave non-linearity

Suresh Rasappan, Sathish Kumar Kumaravel, Regan Murugesan, Niranjan Kumar K. A., Narmada Devi R., Obaid Ahmed J.

Archives of Control Sciences

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2023

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Vol. 33, No. 1

25--53

EN

The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour. In this work, a new chaotic system with chaotic attractor is introduced for triangular wave non-linearity. It is worth noting that this striking phenomenon rarely occurs in respect of chaotic systems. The system proposed in this paper has been realized with numerical simulation. The results emanating from the numerical simulation indicate the feasibility of the proposed chaotic system. More over, chaos control, stability, diffusion and synchronization of such a system have been dealt with.

4

Bifurcation analysis, circuit design and sliding mode control of a new multistable chaotic population model with one prey and two predators

Vaidyanathan Sundarapandian, Benkouider Khaled, Sambas Aceng, Darwin P.

Archives of Control Sciences

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2023

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Vol. 33, No. 1

127--153

EN

In this work, we report a new chaotic population biology system with one prey and two predators. Our new chaotic population model is derived by introducing two nonlinear interaction terms between the prey and predator-2 to the Samardzija-Greller population biology system (1988). We show that the new chaotic population biology system has a greater value of Maximal Lyapunov Exponent (MLE) than the Maximal Lyapunov Exponent (MLE) of the Samardzija-Greller population biology system (1988). We carry out a detailed bifurcation analysis of the new chaotic population biology system with one prey and two predators. We also show that the new chaotic population biology model exhibits multistability with coexisting chaotic attractors. Next, we use the integral sliding mode control (ISMC) for the complete synchronization of the new chaotic population biology system with itself, taken as the master and slave chaotic population biology systems. Finally, for practical use of the new chaotic population biology system, we design an electronic circuit design using Multisim (Version 14.0).

5

A new two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium, its bifurcation analysis, circuit design and a control application to complete synchronization

Vaidyanathan Sundarapandian, Moroz Irene M., Sambas Aceng

Archives of Control Sciences

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2023

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Vol. 33, No. 2

277--298

EN

In this work, we present new results for a two-scroll 4-D hyperchaotic system with a unique saddle point equilibrium at the origin. The bifurcation and multi-stability analysis for the new hyperchaotic system are discussed in detail. As a control application, we develop a feedback control based on integral sliding mode control (ISMC) for the complete synchronization of a pair of two-scroll hyperchaotic systems developed in this work. Numerical simulations using Matlab are provided to illustrate the hyperchaotic phase portraits, bifurcation diagrams and synchronization results. Finally, as an electronic application, we simulate the new hyperchaotic system using Multisim for real-world implementations.

6

Event-triggered reliable synchronization of chaotic coronary artery system

Sivaranjani K., Ebenanjar P. Evanzalin, Latha D. Ponmary Pushpa

Przegląd Elektrotechniczny

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2022

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R. 98, nr 5

67--70

EN

This paper studies the problem of synchronization for chaotic coronary artery system. The heart receives its oxygen and nourishment from the blood vessel namely coronary artery. Furthermore, due to some uncertain factors such as high blood pressure, thyroid, heart disorders, and others can cause the inner pressure and diameter of the coronary artery vessel to change, resulting in an aberrant pulse. In order to synchronize affected system with healthy system, event -triggered reliable controller is designed with the aid of linear matrix inequalities. Finally, simulations are performed to ensure that the developed controller is successful.

PL

Niniejsza praca dotyczy problemu synchronizacji chaotycznego układu tętnic wieńcowych. Serce otrzymuje tlen i pożywienie z ˙ naczynia krwionosnego, czyli tętnicy wiencowej. Co więcej, z powodu pewnych niepewnych czynników, takich jak wysokie cisnienie krwi, choroby ´ tarczycy, serca i inne, mogą powodować zmianę wewnętrznego ciśnienia i średnicy naczynia wieńcowego, co skutkuje nieprawidłowym tętnem. Aby zsynchronizowac uszkodzony system ze zdrowym systemem, niezawodny sterownik wyzwalany zdarzeniami został zaprojektowany z wykorzystaniem ´ liniowych nierównosci macierzy. Na koniec przeprowadzane są symulacje, aby upewnic się, ze opracowany sterownik odniesie sukces.

7

A feasible schedule for parallel assembly tasks in flexible manufacturing systems

Majdzik Paweł

International Journal of Applied Mathematics and Computer Science

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2022

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Vol. 32, no. 1

51--63

EN

The paper concerns the design of a framework for implementing fault-tolerant control of hybrid assembly systems that connect human operators and fully automated technical systems. The main difficulty in such systems is related to delays that result from objective factors influencing human operators’ work, e.g., fatigue, experience, etc. As the battery assembly system can be considered a firm real-time one, these delays are treated as faults. The presented approach guarantees real-time compensation of delays, and the fully automated part of the system is responsible for this compensation. The paper begins with a detailed description of a battery assembly system in which two cooperating parts can be distinguished: fully automatic and semi-automatic. The latter, nonderministic in nature, is the main focus of this paper. To describe and analyze the states of the battery assembly system, instead of the most commonly used simulation, the classic max-plus algebra with an extension allowing one to express non-deterministic human operators’ work is used. In order to synchronize tasks and schedule (according to the reference schedule) automated and human operators’ tasks, it is proposed to use a wireless IoT platform called KIS.ME. As a result, it allows a reference model of human performance to be defined using fuzzy logic. Having such a model, predictive delays tolerant planning is proposed. The final part of the paper presents the achieved results, which clearly indicate the potential benefits that can be obtained by combining the wireless KIS.ME architecture (allocated in the semi-automatic part of the system) with wired standard production networks.

8

Integracja - koordynacja - synchronizacja działań zarządczych. Dyskusja nad istotą pojęć

Twaróg Sebastian

Gospodarka Materiałowa i Logistyka

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2022

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nr 7

32--41

PL

Nieporozumienia interpretacyjne, związane z pojęciami „integracja”, „koordynacja” oraz „synchronizacja”, a także zamienne stosowanie wymienionych pojęć zmniejsza precyzję wywodów o charakterze naukowym, jak również utrudnia wymianę idei między teoretykami i praktykami zarządzania, w tym - logistykami. Celem rozważań zawartych w niniejszym artykule jest rozpoznanie rozkładu frekwencyjności artykułów w przedmiotowym zakresie oraz odpowiedź na pytanie, czy wymienione pojęcia są pojęciami synonimicznymi, czy też oznaczają odmienne sytuacje w kontekście zarządczym.

EN

Misunderstandings of interpretation, related to the terms "integration", "coordination" and "synchronization", and the interchangeable use of these terms reduce the precision of scientific argumentation, as well as complicating the exchange of ideas between management theoreticians and practitioners, including logisticians. The purpose of the considerations contained in this article is to identify the distribution of the frequency of the articles in the field in question, and answer the questions of whether these concepts are synonymous or mean different situations in a management context.

9

A new 4-D hyperchaotic four-wing system, its bifurcation analysis, complete synchronization and circuit simulation

Vaidyanathan Sundarapandian, Benkouider Khaled, Sambas Aceng, Safaan Samy Abdelwahab

Archives of Control Sciences

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2022

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Vol. 32, No. 3

507--534

EN

In this work, we modify the dynamics of 3-D four-wing Li chaotic system (Li et al. 2015) by introducing a feedback controller and obtain a new 4-D hyperchaotic four-wing system with complex properties. We show that the new hyperchaotic four-wing system have three saddle-foci balance points, which are unstable. We carry out a detailed bifurcation analysis for the new hyperchaotic four-wing system and show that the hyperchaotic four-wing system has multistability and coexisting attractors. Using integral sliding mode control, we derive new results for the master-slave synchronization of hyperchaotic four-wing systems. Finally, we design an electronic circuit using MultiSim for real implementation of the new hyperchaotic four-wing system.

10

Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law

Ouannas Adel, Mesdoui Fatiha, Momani Shaher, Batiha Iqbal, Grassi Giuseppe

Archives of Control Sciences

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2021

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Vol. 31, No. 2

333--345

EN

The Fitzhugh-Nagumo model (FN model), which is successfully employed in modeling the function of the so-called membrane potential, exhibits various formations in neuronal networks and rich complex dynamics. This work deals with the problem of control and synchronization of the FN reaction-diffusion model. The proposed control law in this study is designed to be uni-dimensional and linear law for the purpose of reducing the cost of implementation. In order to analytically prove this assertion, Lyapunov’s second method is utilized and illustrated numerically in one- and/or two-spatial dimensions.

11

Dynamics, control, stability, diffusion and synchronization of modified chaotic Colpitts oscillator

Rasappan Suresh, Niranjan Kumar K. A.

Archives of Control Sciences

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2021

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Vol. 31, No. 3

731--759

EN

The purpose of this paper is to introduce a new chaotic oscillator. Although different chaotic systems have been formulated by earlier researchers, only a few chaotic systems exhibit chaotic behaviour. In this work, a new chaotic system with chaotic attractor is introduced. It is worth noting that this striking phenomenon rarely occurs in respect of chaotic systems. The system proposed in this paper has been realized with numerical simulation. The results emanating from the numerical simulation indicate the feasibility of the proposed chaotic system. More over, chaos control, stability, diffusion and synchronization of such a system have been dealt with.

12

Dynamic synchronization of vibration exciters of the three-mass vibration mill

Solona Olena, Kupchuk Ihor

Przegląd Elektrotechniczny

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2020

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R. 96, nr 3

161--165

EN

The problem of self-synchronization of a three-axis vibrating mill with four unbalance vibrators, which are actuated by independent asynchronous motors and have the same angular velocities, is considered in the paper. In self-synchronization, synchronization and phase matching of the vibrator is achieved due to the vibration of the system of bodies on which the vibrator is installed, that is, by providing a dynamic connection between them.

PL

W artykule analizowano problem synchronizacji trzyosiowego wibracyjnego młyna z czterema niezależnymi wibratorami. Samoczynna synchronizacja została osiągnięta dzięki dynamicznemu połączeniu między wibratorami i podłożem.

13

A Theory of Distributed Markov Chains

Thiagarajan P. S., Yang Shaofa

Fundamenta Informaticae

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2020

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Vol. 175, nr 1-4

301--325

EN

We present the theory of distributed Markov chains (DMCs). A DMC consists of a collection of communicating probabilistic agents in which the synchronizations determine the probability distribution for the next moves of the participating agents. The key feature of a DMC is that the synchronizations are deterministic, in the sense that any two simultaneously enabled synchronizations involve disjoint sets of agents. Using our theory of DMCs we show how one can analyze the behavior using the interleaved semantics of the model. A key point is, the transition system which defines the interleaved semantics is — except in degenerate cases — not a Markov chain. Hence one must develop new techniques to analyze these behaviors exhibiting both concurrency and stochasticity. After establishing the core theory we develop a statistical model checking procedure which verifies the dynamical properties of the trajectories generated by the the model. The specifications consist of Boolean combinations of component-wise bounded linear time temporal logic formulas. We also provide a probabilistic Petri net representation of DMCs and use it to derive a probabilistic event structure semantics.

14

A new strongly predefined time sliding mode controller for a class of cascade high-order nonlinear systems

Abadi Ali Soltani Sharif, Hosseinabadi Pooyan Alinaghi, Mekhilef Saad, Ordys Andrzej

Archives of Control Sciences

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2020

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Vol. 30, No. 3

599--620

EN

Many real-time systems can be described as cascade space-state models of different orders. In this paper, a new predefined controller is designed using a Strongly Predefined Time Sliding Mode Control (SPSMC) scheme for a cascade high-order nonlinear system. The proposed control scheme based-on SMC methodology is designed such that the system states reach zero within a determined time prior to performing numerical simulation. Moreover, Fixed Time Sliding Mode Control (FSMC) and Terminal Sliding Mode Control (TSMC) schemes are presented and simulated to provide a comparison with the proposed predefined time scheme. The numerical simulation is performed in Simulink/MATLAB for the proposed SPSMC and the other two existing methods on two examples: second and of third order to demonstrate the effectiveness of the proposed SPSMC method. The trajectory tracking of the ship course system is addressed a san example of a second-order system. Synchronization of two chaotic systems, Genesio Tesi and Coullet, is considered as an example of a third-order system. Also, by using two performance criteria, a thorough comparison is made between the proposed predefined time scheme, SPSMC, and the two no predefined time schemes, FSMC and TSMC.

15

A new multi-stable chaotic hyperjerk system, its special features, circuit realization, control and synchronization

Pham Viet-Thanh, Vaidyanathan Sundarapandian, Volos Christos, Jafari Sajad, Kapitaniak Tomasz

Archives of Control Sciences

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2020

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Vol. 30, No. 1

23--45

EN

Researchers have paid significant attention on hyperjerk systems, especial hyperjerk ones with chaos. A new hyperjerk system with seven terms and two parameters is analyzed. Chaotic attractors as well as coexisting attractors are displayed by the hyperjerk system. Thus it is a new multi-stable chaotic hyperjerk system. Further properties of the proposed hyperjerk system such as circuit design and backstepping-based control and synchronization are reported.

16

A new 4-D hyperchaotic system with no equilibrium, its multistability, offset boosting and circuit simulation

Vaidyanathan Sundarapandian, Moroz Irene M., Sambas Aceng

Archives of Control Sciences

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2020

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Vol. 30, No. 3

575--597

EN

A new 4-D dynamical system with hyperchaos is reported in this work. It is shown that the proposed nonlinear dynamical system with hyperchaos has no equilibrium point. Hence, the new dynamical system exhibits hidden hyperchaotic attractor. An in-depth dynamic analysis of the new hyperchaotic system is carried out with bifurcation transition diagrams, multistability analysis, period-doubling bubbles and offset boosting analysis. Using Integral Sliding Mode Control (ISMC), global hyperchaos synchronization results of the new hyperchaotic system are described in detail. Furthermore, an electronic circuit realization of the new hyperchaotic system has been simulated in MultiSim software version 13.0 and the results of which are in good agreement with the numerical simulations using MATLAB.

17

System dystrybucji sygnału do synchronizacji izolowanych sensorów prądu i napięcia

Michalski Paweł, Chudorliński Jerzy, Makowiecki Karol

Przegląd Elektrotechniczny

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2019

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R. 95, nr 2

78--80

PL

Wymóg izolacji galwanicznej sensorów do pomiaru prądów i napięcia od trójfazowej sieci elektroenergetycznej SN, powoduje szereg problemów związanych z synchronizmem próbkowania, przesyłaniem danych oraz zasilaniem sensorów. Artykuł zawiera opis unikatowego systemu dystrybucji zasilania i sygnału synchronizującego izolowane galwanicznie sensory - przetworniki próbkujące prądy i napięcia trójfazowej sieci elektroenergetycznej SN. Synchronizacja próbkowania jest podyktowana dokładnością pomiaru kątów przesunięć fazowych pomiędzy poszczególnymi prądami lub napięciami sieci SN, a w konsekwencji obliczeń mocy, energii, synchrofazorów i wartości RMS.

EN

The requirement of galvanic isolation of current and voltage measuring sensors for three-phase mains grid causes a number of problems related to sampling synchronism, data transmission and sensor supply. Article describes the unique distribution system of power and synchronizing signal for galvanically isolated sensors - transducers sampling currents and voltage in the three-phase power network. Synchronization of sampling rate is mandatory due to the accuracy of the of phase shifts angles measurement between voltages or currents in grid and consequently the calculations of power, energy, synchrophazors and RMS value.

18

Coordination of serial-parallel manufacturing processes of milk production

Bayas Marcia M., Dubovoi Volodymyr M., Rovira Ronald H., Pavlov Sergii V., Grądz Żaklin, Smailova Saule, Bissarinov Baituma

Przegląd Elektrotechniczny

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2019

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R. 95, nr 4

172--175

EN

The use of spatially distributed technological objects in industry and production systems is an ever-increasing trend. The optimal coordination algorithm is used in the information technology for the control of preparation and packaging of dairy products based on SCADA/HMI. The optimizing task is solved by genetic algorithm. In the process of coordination is carried out resource allocation and synchronization of technological lines. The results obtained ensure reduction of losses from equipment downtime and increase the production efficiency.

PL

Optymalny algorytm koordynacji wykorzystywany jest w technologii informacyjnej do kontroli przygotowania i pakowania produktów mlecznych w oparciu o SCADA / HMI. W procesie koordynacji prowadzona jest alokacja zasobów i synchronizacja linii technologicznych. Uzyskane wyniki zapewniają redukcję strat spowodowanych przestojem sprzętu i zwiększają wydajność produkcji.

19

Konsekwencje wydarzenia „GPS week number rollover” w synchronizacji czasu na potrzeby gospodarki i społeczeństwa oraz w metrologii czasu i częstotliwości

Gruszczyński Maciej, Czubla Albin, Szołucha Marcin

Metrologia i Probiernictwo : biuletyn Głównego Urzędu Miar

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2019

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nr 2 (23)

9--16

PL

W nocy z 6 na 7 kwietnia 2019 r. (z soboty na niedzielę), o godz. 2:00 czasu urzędowego nastąpiło wyzerowanie się 10-bitowego licznika numerów tygodni (przepełnienie licznika), wysyłanego w depeszy nawigacyjnej przez satelity systemu nawigacji satelitarnej GPS (Global Positioning System). Oznacza to, że po numerze tygodnia „1023” (2 do potęgi 10 minus 1), liczonego w systemie GPS w sposób ciągły od daty 22 sierpnia 1999 r., nastąpił numer „0”, który odpowiada pierwszemu tygodniowi liczonemu już od daty 7 kwietnia 2019 r. Zdarzenie takie, nazywane „GPS week number rollover”, wywoływało pewne obawy wśród przedstawicieli branży związanej z synchronizacją czasu i częstotliwości. W pewnym stopniu potwierdziły się one w rzeczywistości.

EN

At the night from 6 to 7 April 2019 at 2:00 am (UTC), the GPS (Global Positioning System) experienced a 10-bits week counter roll over to zero (data storage overflow). This counter is included in the satellite-transmitted navigation message. In view of the above, week number “1023” (2 to the power of 10 minus 1), calculated in the GPS system continuously from 22 August 1999, is followed by the number “0”, which corresponds to the first week counted from 7 April 2019. This event is called “GPS week number rollover” and was preceded by concerns manifested among representatives of the industry associated time and frequency synchronization. Some of these fears were confirmed in reality.

20

Spatial synchronization of unbalanced rotors excited with paralleled and counterrotating motors in a far resonance system

Fang Pan, Zou Min, Peng Huan, Du Mingjun, Hu Gang, Hou Yongjun

Journal of Theoretical and Applied Mechanics

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2019

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Vol. 57 nr 3

723--738

EN

Dynamic characteristics of the vibration screening machinery is influenced by synchronization between induction motors. Therefore, estimating the synchronous state between the motors is a crucial process for designing the vibration screening machinery. In this paper, two rotors excited with paralleled and counterrotating motors in a far resonance system are concerned. To master the synchronization of the system, the dynamic model is firstly established; then, the synchronous condition of the system is derived with the Poincar´e method; subsequently, the synchronous stability of the system is discussed by the Hamilton principle; finally, some computation simulations are implemented to verify correctness of theoretical analysis. The research result shows that the system actuated by rotors of the identical mass is planar motion as the stable phase difference between the rotors is stabilized in the zero phase. The system actuated by nonequivalent mass rotors exhibits spatial motion as the stable phase difference stabilizes in a nonzero phase.