Last issue
2020 (vol. 30) - Number 3


M.A. Hammami, N.H. Rettab:

On the region of attraction of dynamical systems: Application to Lorenz equations



J. Rudy, J. Pempera, C. Smutnicki:

Improving the TSAB algorithm through parallel computing



Chiranjibe Jana, Madhumangal Pal , Guiwu Wei:

Multiple Attribute Decision Making method based on intuitionistic Dombi operators and its application in~mutual fund evaluation



S. Ogonowski, D. Bismor, Z. Ogonowski:

Control of complex dynamic nonlinear loading process for electromagnetic mill



N.A. Baleghi, M.H. Shafiei:

An observer-based controller design for nonlinear discrete-time switched systems with~time-delay and affine parametric uncertainty



Amine El Bhih, Youssef Benfatah, Mostafa Rachik:

Exact determinantions of maximal output admissible set for a class of~semilinear discrete systems



Archana Tiwari, Debanjana Bhattacharyya, K.C. Pati:

Controllabilty and stability analysis on a group associated with Black-Scholes equation



A. Sambas, I.M. Moroz, S. Vaidyanathan:

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



A.S.S. Abadi, P.A. Hosseinabadi, S. Mekhilef, A. Ordys:

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




ACS Abstract:

2020 (Volume 30)
Number 2
1.

On a finding the coefficient of one nonlinear wave equation in the mixed problem

2.

Method of rescheduling for hybrid production lines with intermediate buffers

3.

A novel multiple attribute decision making method based on q-rung dual hesitant uncertain linguistic sets and Muirhead mean

4.

Location of generating units most affecting the angular stability of the power system based on the analysis of instantaneous power waveforms

5.

Vibration control and performance analysis of full car active suspension system using fractional order terminal sliding mode controller

6.

Efficient MPC algorithms with variable trajectories of parameters weighting predicted control errors

7.

Formation control of underwater vehicles using Multi Agent System



On a finding the coefficient of one nonlinear wave equation in the mixed problem

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Zumrud R. Safarova
(Nakhchivan State University, Nakhchivan, Azerbaijan)

The paper is devoted to the finding of the coefficient of one nonlinear wave equation in the mixed problem. The considered problem is reduced to the optimal control problem with proper functional. Differentiability of functional is proved and the necessary optimality conditions are derived in the form of the variational inequality. Existence of the optimal control is proved.

keywords: hyperbolic equation, nonlinear wave equation, optimal control problem, necessary condition

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Method of rescheduling for hybrid production lines with intermediate buffers

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M. Magiera
(AGH University of Science and Technology, Krakow, Poland)

A method of creating production schedules regarding production lines with parallel machines is presented. The production line setup provides for intermediate buffers located between individual stages. The method mostly concerns situations when part of the production machines is unavailable for performance of operations and it becomes necessary to modify the original schedule, the consequence of which is the need to build a new schedule. The cost criterion was taken into account, as the schedule is created with the lowest possible costs regarding untimely completion of products (e.g. fines for delayed product completion). The proposed method is relaxing heuristics, thanks to which scheduling is performed in a relatively short time. This was confirmed by the presented results of computational experiments. These experiments were carried out for the rescheduling of machine parts production.

keywords: rescheduling, scheduling, heuristic, flowshop, hybrid production line, buffer management

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A novel multiple attribute decision making method based on q-rung dual hesitant uncertain linguistic sets and Muirhead mean

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Jun Wang \and Xiaopu Shang, Xue Feng
(Beijing Jiaotong University, Beijing, China)
Mengyang Sun
(China Institute of Marine Technology and Economy, Beijing, China)

This paper aims to propose a new multi-attribute decision making (MADM) method in complicated and fuzzy decision-making environment. To express both decision makers (DMs') quantitative and qualitative evaluation information comprehensively and consider their high hesitancy in giving their assessment values in MADM process, we combine q-rung dual hesitant fuzzy sets (q-RDHFSs) with uncertain linguistic variables and develop a new tool, called the q-rung dual hesitant uncertain linguistic sets (q-RDHULSs). First, the definition, operations and comparison method of q-RDHULSs are proposed. Second, given the interrelationship among multiple q-rung dual hesitant uncertain linguistic variables (q-RDHULVs) we introduce some aggregation operators (AOs) to fuse q-rung dual hesitant uncertain linguistic (q-RDHUL) information based on the Muirhead mean, i.e. the q-RDHUL Muirhead mean operator, the q-RDHUL weighted Muirhead mean operator, the q-RDHUL dual Muirhead mean operator, and the q-RDHUL weighted dual Muirhead mean operator. To cope with MADM problems with q-RDHUL information, we propose a new method based on the proposed AOs. Afterwards, we apply the proposed method to an enterprise informatization level evaluation problem to verify its effectiveness. In addition, we also explain why our proposed method is more powerful and flexible than others.

keywords: q-rung dual hesitant uncertain linguistic sets; Muirhead mean; q-rung dual hesitant uncertain linguistic Muirhead mean; multi-attribute decision making; informatization level evaluation

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Location of generating units most affecting the angular stability of the power system based on the analysis of instantaneous power waveforms

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P. Pruski, S. Paszek
(Silesian University of Technology, Gliwice, Poland)

In the paper, the results of investigations on the location of generating units most affecting the angular stability of a large power system (PS) are presented. For their location, the eigenvalues of the PS model state matrix associated with electromechanical phenomena (electromechanical eigenvalues) were used. The eigenvalues were calculated on the basis of the analysis of the disturbance waveforms of instantaneous power of the generating units operating in the PS. The used method of calculating eigenvalues consists in approximation of the disturbance waveforms of generating units by the waveforms being the superposition of modal components. The parameters of these components depend on the sought eigenvalues and their participation factors. The objective function was defined as the mean square error between the approximated and approximating waveforms. To minimize it, a hybrid algorithm, being a combination of genetic and gradient algorithms, was used. In the instantaneous power waveforms of generating units most affecting the PS angular stability, the least damped or undamped modal components dominate. They are related to eigenvalues with the largest values of real parts. The impact of individual modal components on the disturbance waveforms of subsequent generating units was determined with the use of participation factors and correlation coefficients of electromechanical eigenvalues.

keywords: power system, modal analysis, electromechanical eigenvalues, transient states, angular stability

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Vibration control and performance analysis of full car active suspension system using fractional order terminal sliding mode controller

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T. Yuvapriya, P. Lakshmi
(CEG, Anna University, Chennai, India)
S. Rajendiran
(Pondicherry Engineering College, Puduchery, India)

The main goal of introducing Active Suspension System in vehicles is to reduce the vehicle body motion under road obstacles which improves the ride comfort of the passenger. In this paper, the Full Car Model (FCM) with seven Degrees of Freedom is considered and simulated by MATLAB/Simulink. The Terminal Sliding Mode Controller (TSMC) and Fractional Order Terminal Sliding Mode Controller (FOTSMC) are designed to enhance the ride quality, stability and passenger comfort for FCM. The designed FOTSMC has the ability to provide higher control accuracy in a finite time. The performances of the designed controllers are evaluated by measuring the vehicle body vibration in both angular and vertical direction under bump input and ISO-8606 random input against passive suspension system. The Frequency Weighted Root Mean Square (FWRMS) and Vibration dose value of Body Acceleration as per ISO-2631 are evaluated for FOTSMC, TSMC and PSS. The stability of the FCM is proved by Lyapunouv theory. Further analysis with sprung mass and speed variation of FCM demonstrate the robustness of proposed controller. To investigate the performances of designed controllers, comparison is made with existing Sliding Mode Controller (SMC) which proves that the designed FOTSMC performs better than existing SMC.

keywords: active suspension system, fractional order terminal sliding mode controller, ISO8606, ISO2631, stability analysis, vibration dose value

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Efficient MPC algorithms with variable trajectories of parameters weighting predicted control errors

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R. Nebeluk, P. Marusak
(Warsaw University of Technology, Warsaw, Poland)

Usage of model predictive control (MPC) algorithms brought increase of the control system performance in many applications thanks to relatively easily solving issues that are hard to solve without these algorithms. The paper is focused on investigation how to further improve the control system performance using a trajectory of parameters weighting predicted control errors in the performance function of the optimization problem. Different shapes of trajectories are proposed and their influence on control systems is tested. Additionally, experiments checking the influence of disturbances and of modeling uncertainty on control system performance are conducted. The case studies were done in control systems of three control plants: a linear nonminimumphase plant, a nonlinear polymerization reactor and a nonlinear thin film evaporator. Three types of MPC algorithms were used during research: linear DMC, nonlinear DMC with successive linearization (NDMC--SL), nonlinear DMC with nonlinear prediction and linearization (NDMC--NPL). Results of conducted experiments are presented in greater detail for the control system of the polymerization reactor, whereas for the other two control systems only the most interesting results are presented, for the sake of brevity. The experiments in the control system of the linear plant were done as preliminary experiments with the modified optimization problem. In the case of control system of the thin film evaporator the researched mechanisms were used in the control system of a MIMO plant showing possibilities of improving the control system performance.

keywords: model predictive control, nonlinear systems, nonlinear models, nonlinear control, simulation, optimization

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Formation control of underwater vehicles using Multi Agent System

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B. Das, B.B. Pati
(VSS University of Technology, Odisha, India)
B. Subudhi
(Indian Institute of Technology, Goa, India)

This paper proposes the development of a formation control algorithm of multiple acoustic underwater vehicles by employing the behavior of autonomous mobile agents under a proposed pursuit. A robust pursuit is developed using the distributed consensus coordinated algorithm ensuring the transfer of information among the AUVs. The development of robust pursuit based on characteristics of multi-agent system is for solving the incomplete information capabilities in each agent such as asynchronous computation, decentralized data and no system global control. In unreliable and narrow banded underwater acoustic medium, the formation of AUVs based distributed coordinated consensus tracking can be accomplished under the constant or varying virtual leader's velocity. Further, the study to achieve tracking based on virtual leader AUV's velocity is extended to fixed and switching network topology. Again for mild connectivity, an adjacency matrix is defined in such a way that an adaptive connectivity is ensured between the AUVs. The method constant virtual Leader's velocity based on consensus tracking is more robust to measure inaccuracy because no accurate position and velocity measurements are required. Results were obtained using MATLAB and acquired outcomes are analyzed for efficient formation control in presence of the underwater communication constraints.

keywords: AUV, Multi Agent System, formation control, switching network topology, mild connectivity

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