Pub Date : 2023-07-20DOI: 10.24425/ACS.2019.130203
Sara Bysko, J. Krystek, Szymon Bysko, R. Lenort
The paper presents a Car Sequencing Problem, widely considered in the literature. The issue considered by the researchers is only a reduced problem in comparison with the problem in real automotive production. Consequently, a new concept, called Paint Shop 4.0., is considered from the viewpoint of a sequencing problem. The paper is a part of the previously conducted research, identified as Car Sequencing Problem with Buffers (CSPwB), which extended the original problem to a problem in a production line equipped with buffers. The new innovative approach is based on the ideas of Industry 4.0 and the buffer management system. In the paper, sequencing algorithms that have been developed so far are discussed. The original Follow-up Sequencing Algorithm is presented, which is still developed by the authors. The main goal of the research is to find the most effective algorithm in terms of minimization of painting gun changeovers and synchronization necessary color changes with periodic gun cleanings. Carried out research shows that the most advanced algorithm proposed by the authors outperforms other tested methods, so it is promising to be used in the automotive industry.
{"title":"Buffer management in solving a real sequencing problem in the automotive industry – Paint Shop 4.0 concept","authors":"Sara Bysko, J. Krystek, Szymon Bysko, R. Lenort","doi":"10.24425/ACS.2019.130203","DOIUrl":"https://doi.org/10.24425/ACS.2019.130203","url":null,"abstract":"The paper presents a Car Sequencing Problem, widely considered in the literature. The issue considered by the researchers is only a reduced problem in comparison with the problem in real automotive production. Consequently, a new concept, called Paint Shop 4.0., is considered from the viewpoint of a sequencing problem. The paper is a part of the previously conducted research, identified as Car Sequencing Problem with Buffers (CSPwB), which extended the original problem to a problem in a production line equipped with buffers. The new innovative approach is based on the ideas of Industry 4.0 and the buffer management system. In the paper, sequencing algorithms that have been developed so far are discussed. The original Follow-up Sequencing Algorithm is presented, which is still developed by the authors. The main goal of the research is to find the most effective algorithm in terms of minimization of painting gun changeovers and synchronization necessary color changes with periodic gun cleanings. Carried out research shows that the most advanced algorithm proposed by the authors outperforms other tested methods, so it is promising to be used in the automotive industry.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76704923","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-20DOI: 10.24425/acs.2019.127522
Given a linear discrete system with initial state x0 and output function yi , we investigate a low dimensional linear system that produces, with a tolerance index ǫ , the same output function when the initial state belongs to a specified set, called ǫ-admissible set, that we characterize by a finite number of inequalities. We also give an algorithm which allows us to determine an ǫ-admissible set.
{"title":"Model reduction problem of linear discrete systems: Admissibles initial states","authors":"","doi":"10.24425/acs.2019.127522","DOIUrl":"https://doi.org/10.24425/acs.2019.127522","url":null,"abstract":"Given a linear discrete system with initial state x0 and output function yi , we investigate a low dimensional linear system that produces, with a tolerance index ǫ , the same output function when the initial state belongs to a specified set, called ǫ-admissible set, that we characterize by a finite number of inequalities. We also give an algorithm which allows us to determine an ǫ-admissible set.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76751111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-20DOI: 10.24425/ACS.2018.124706
A. Khurshudyan
{"title":"Exact and approximate controllability conditions for the micro-swimmers deflection governed by electric field on a plane: The Green’s function approach","authors":"A. Khurshudyan","doi":"10.24425/ACS.2018.124706","DOIUrl":"https://doi.org/10.24425/ACS.2018.124706","url":null,"abstract":"","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82808760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
S. Vaidyanathan, Sajad Jafar, V. Pham, A. Azar, F. Alsaadi
A novel 4-D chaotic hyperjerk system with four quadratic nonlinearities is presented in this work. It is interesting that the hyperjerk system has no equilibrium. A chaotic attractor is said to be a hidden attractor when its basin of attraction has no intersection with small neighborhoods of equilibrium points of the system. Thus, our new non-equilibrium hyperjerk system possesses a hidden attractor. Chaos in the system has been observed in phase portraits and verified by positive Lyapunov exponents. Adaptive backstepping controller is designed for the global chaos control of the non-equilibrium hyperjerk system with a hidden attractor. An electronic circuit for realizing the non-equilibrium hyperjerk system is also introduced, which validates the theoretical chaotic model of the hyperjerk system with a hidden chaotic attractor.
{"title":"A 4-D chaotic hyperjerk system with a hidden attractor, adaptive backstepping control and circuit design","authors":"S. Vaidyanathan, Sajad Jafar, V. Pham, A. Azar, F. Alsaadi","doi":"10.24425/123458","DOIUrl":"https://doi.org/10.24425/123458","url":null,"abstract":"A novel 4-D chaotic hyperjerk system with four quadratic nonlinearities is presented in this work. It is interesting that the hyperjerk system has no equilibrium. A chaotic attractor is said to be a hidden attractor when its basin of attraction has no intersection with small neighborhoods of equilibrium points of the system. Thus, our new non-equilibrium hyperjerk system possesses a hidden attractor. Chaos in the system has been observed in phase portraits and verified by positive Lyapunov exponents. Adaptive backstepping controller is designed for the global chaos control of the non-equilibrium hyperjerk system with a hidden attractor. An electronic circuit for realizing the non-equilibrium hyperjerk system is also introduced, which validates the theoretical chaotic model of the hyperjerk system with a hidden chaotic attractor.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87407005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-20DOI: 10.24425/acs.2019.127525
R. Czyba, Lukasz Stajer
This paper presents the design of digital controller for longitudinal aircraft model based on the Dynamic Contraction Method. The control task is formulated as a tracking problem of velocity and flight path angle, where decoupled output transients are accomplished in spite of incomplete information about varying parameters of the system and external disturbances. The design of digital controller based on the pseudo-continuous approach is presented, where the digital controller is the result of continuous-time controller discretization. A resulting output feedback controller has a simple form of a combination of low-order linear dynamical systems and a matrix whose entries depend nonlinearly on certain known process variables. Simulation results for an aircraft model confirm theoretical expectations.
{"title":"Dynamic Contraction Method approach to digital longitudinal aircraft flight controller design","authors":"R. Czyba, Lukasz Stajer","doi":"10.24425/acs.2019.127525","DOIUrl":"https://doi.org/10.24425/acs.2019.127525","url":null,"abstract":"This paper presents the design of digital controller for longitudinal aircraft model based on the Dynamic Contraction Method. The control task is formulated as a tracking problem of velocity and flight path angle, where decoupled output transients are accomplished in spite of incomplete information about varying parameters of the system and external disturbances. The design of digital controller based on the pseudo-continuous approach is presented, where the digital controller is the result of continuous-time controller discretization. A resulting output feedback controller has a simple form of a combination of low-order linear dynamical systems and a matrix whose entries depend nonlinearly on certain known process variables. Simulation results for an aircraft model confirm theoretical expectations.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90551543","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-20DOI: 10.24425/acs.2021.138694
S. Kazhikenova, S. Shaltakov, B. Nussupbekov
The basic objective of the research is to construct a differencemodel of the melt motion. The existence of a solution to the problem is proven in the paper. It is also proven the convergence of the difference problem solution to the original problem solution of the melt motion. The Rothe method is implemented to study the Navier–Stokes equations, which provides the study of the boundary value problems correctness for a viscous incompressible flow both numerically and analytically.
{"title":"Difference melt model","authors":"S. Kazhikenova, S. Shaltakov, B. Nussupbekov","doi":"10.24425/acs.2021.138694","DOIUrl":"https://doi.org/10.24425/acs.2021.138694","url":null,"abstract":"The basic objective of the research is to construct a differencemodel of the melt motion. The existence of a solution to the problem is proven in the paper. It is also proven the convergence of the difference problem solution to the original problem solution of the melt motion. The Rothe method is implemented to study the Navier–Stokes equations, which provides the study of the boundary value problems correctness for a viscous incompressible flow both numerically and analytically.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91172293","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-20DOI: 10.24425/acs.2021.137421
A. Ouannas, Fatiha Mesdoui, S. Momani, I. Batiha, G. Grassi
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.
{"title":"Synchronization of FitzHugh-Nagumo reaction-diffusion systems via one-dimensional linear control law","authors":"A. Ouannas, Fatiha Mesdoui, S. Momani, I. Batiha, G. Grassi","doi":"10.24425/acs.2021.137421","DOIUrl":"https://doi.org/10.24425/acs.2021.137421","url":null,"abstract":"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.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77897158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A dynamical system is called positive if its state variables and outputs take nonnegative values for all nonnegative inputs and nonnegative initial conditions. The positive linear and nonlinear continuous-time and discrete-time systems have been addressed in many papers and books [1–23]. Positive descriptor systems have been analyzed in [1–3, 6–11, 15, 17, 22, 23] and positive nonlinear systems in [18, 19]. The minimum energy control of positive systems has been investigated in [9–12, 14] and the stability of positive systems in [4, 14, 21, 23]. The positive systems consisting of n subsystems with different fractional orders have been introduced in [13, 16]. In this paper the reachability and observability of positive discrete-time linear systems with integer positive and negative powers of state monomial generalized Frobenius matrices will be addressed. The paper is organized as follows. In Section 2 the basic definitions and theorems concerning positive linear systems are recalled. The notion of monomial generalized Frobenius matrices has been introduced and the reachability of positive linear systems with these state matrices has been analyzed in Section 3.
{"title":"Reachability and observability of positive discrete-timelinear systems with integer positive and negative powers of the state Frobenius matrices","authors":"T. Kaczorek","doi":"10.24425/119080","DOIUrl":"https://doi.org/10.24425/119080","url":null,"abstract":"A dynamical system is called positive if its state variables and outputs take nonnegative values for all nonnegative inputs and nonnegative initial conditions. The positive linear and nonlinear continuous-time and discrete-time systems have been addressed in many papers and books [1–23]. Positive descriptor systems have been analyzed in [1–3, 6–11, 15, 17, 22, 23] and positive nonlinear systems in [18, 19]. The minimum energy control of positive systems has been investigated in [9–12, 14] and the stability of positive systems in [4, 14, 21, 23]. The positive systems consisting of n subsystems with different fractional orders have been introduced in [13, 16]. In this paper the reachability and observability of positive discrete-time linear systems with integer positive and negative powers of state monomial generalized Frobenius matrices will be addressed. The paper is organized as follows. In Section 2 the basic definitions and theorems concerning positive linear systems are recalled. The notion of monomial generalized Frobenius matrices has been introduced and the reachability of positive linear systems with these state matrices has been analyzed in Section 3.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73209235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-20DOI: 10.24425/acs.2021.139735
Waldemar Kaczmarczyk
Small bucket models with many short fictitious micro-periods ensure high-quality schedules in multi-level systems, i.e., with multiple stages or dependent demand. In such models, setup times longer than a single period are, however, more likely. This paper presents new mixed-integer programming models for the proportional lot-sizing and scheduling problem (PLSP) with setup operations overlapping multiple periods with variable capacity. A new model is proposed that explicitly determines periods overlapped by each setup operation and the time spent on setup execution during each period. The model assumes that most periods have the same length; however, a few of them are shorter, and the time interval determined by two consecutive shorter periods is always longer than a single setup operation. The computational experiments show that the new model requires a significantly smaller computation effort than known models.
{"title":"Explicit modeling of multi-period setup times in proportional lot-sizing and scheduling problem with variable capacity","authors":"Waldemar Kaczmarczyk","doi":"10.24425/acs.2021.139735","DOIUrl":"https://doi.org/10.24425/acs.2021.139735","url":null,"abstract":"Small bucket models with many short fictitious micro-periods ensure high-quality schedules in multi-level systems, i.e., with multiple stages or dependent demand. In such models, setup times longer than a single period are, however, more likely. This paper presents new mixed-integer programming models for the proportional lot-sizing and scheduling problem (PLSP) with setup operations overlapping multiple periods with variable capacity. A new model is proposed that explicitly determines periods overlapped by each setup operation and the time spent on setup execution during each period. The model assumes that most periods have the same length; however, a few of them are shorter, and the time interval determined by two consecutive shorter periods is always longer than a single setup operation. The computational experiments show that the new model requires a significantly smaller computation effort than known models.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73815110","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-07-20DOI: 10.24425/acs.2021.137425
S. Jilavyan
The Green’s function approach is applied for studying the exact and approximate null-controllability of a finite rod in finite time by means of a source moving along the rod with controllable trajectory. The intensity of the source remains constant. Applying the recently developed Green’s function approach, the analysis of the exact null-controllability is reduced to an infinite system of nonlinear constraints with respect to the control function. A sufficient condition for the approximate null-controllability of the rod is obtained. Since the exact solution of the system of constraints is a long-standing open problem, some heuristic solutions are used instead. The efficiency of these solutions is shown on particular cases of approximate controllability.
{"title":"Heating control of a finite rod with a mobile source","authors":"S. Jilavyan","doi":"10.24425/acs.2021.137425","DOIUrl":"https://doi.org/10.24425/acs.2021.137425","url":null,"abstract":"The Green’s function approach is applied for studying the exact and approximate null-controllability of a finite rod in finite time by means of a source moving along the rod with controllable trajectory. The intensity of the source remains constant. Applying the recently developed Green’s function approach, the analysis of the exact null-controllability is reduced to an infinite system of nonlinear constraints with respect to the control function. A sufficient condition for the approximate null-controllability of the rod is obtained. Since the exact solution of the system of constraints is a long-standing open problem, some heuristic solutions are used instead. The efficiency of these solutions is shown on particular cases of approximate controllability.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":null,"pages":null},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74134317","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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