Pub Date : 2024-10-09DOI: 10.1016/j.jfranklin.2024.107315
This paper investigates various current information encryption technologies that are growing quickly, especially different algorithms for encrypting and decrypting unique patterns in image data. The fast Fourier transform (FFT) has emerged as a powerful tool with the potential to significantly impact encryption technology. Current encryption technology is designed to encrypt and decrypt images and is easy to decipher. Hence, this paper presents the proposed encryption and decryption algorithm to improve encryption technology based on an improved Euler integral and FFT; in particular, the algorithm possesses a more complex and multidimensional way to improve encryption technology. The improved algorithm offers the ability to efficiently process and analyze vast amounts of image data. The proposed approach of matching the proposed encryption and decryption algorithms can be applied to cloud computing and quantum computing technology.
{"title":"A multidimensional image encryption and decryption technology","authors":"","doi":"10.1016/j.jfranklin.2024.107315","DOIUrl":"10.1016/j.jfranklin.2024.107315","url":null,"abstract":"<div><div>This paper investigates various current information encryption technologies that are growing quickly, especially different algorithms for encrypting and decrypting unique patterns in image data. The fast Fourier transform (FFT) has emerged as a powerful tool with the potential to significantly impact encryption technology. Current encryption technology is designed to encrypt and decrypt images and is easy to decipher. Hence, this paper presents the proposed encryption and decryption algorithm to improve encryption technology based on an improved Euler integral and FFT; in particular, the algorithm possesses a more complex and multidimensional way to improve encryption technology. The improved algorithm offers the ability to efficiently process and analyze vast amounts of image data. The proposed approach of matching the proposed encryption and decryption algorithms can be applied to cloud computing and quantum computing technology.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420652","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-05DOI: 10.1016/j.jfranklin.2024.107316
This paper investigates the control challenges of quadrotor suspension systems with unknown payload masses. To address the unknown external disturbances, uncertainties in system models, and unknown payloads, fixed-time stable adaptive laws are developed to estimate and compensate for these unknown factors. Additionally, a novel control structure based on a nonlinear backstepping controller is proposed for the quadrotor suspension system, achieving stable control of the quadrotor and reducing the sway of the suspended payload. The fixed-time stability of the designed closed-loop system is analytically proven using Lyapunov functions, ensuring maximum stability time. Simulink simulations validate the proposed control approach, demonstrating accurate estimation of unknown masses and the effectiveness and superiority of the controller.
{"title":"Fixed-time adaptive control of quadrotor suspension system with unknown payload mass","authors":"","doi":"10.1016/j.jfranklin.2024.107316","DOIUrl":"10.1016/j.jfranklin.2024.107316","url":null,"abstract":"<div><div>This paper investigates the control challenges of quadrotor suspension systems with unknown payload masses. To address the unknown external disturbances, uncertainties in system models, and unknown payloads, fixed-time stable adaptive laws are developed to estimate and compensate for these unknown factors. Additionally, a novel control structure based on a nonlinear backstepping controller is proposed for the quadrotor suspension system, achieving stable control of the quadrotor and reducing the sway of the suspended payload. The fixed-time stability of the designed closed-loop system is analytically proven using Lyapunov functions, ensuring maximum stability time. Simulink simulations validate the proposed control approach, demonstrating accurate estimation of unknown masses and the effectiveness and superiority of the controller.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-05DOI: 10.1016/j.jfranklin.2024.107314
This paper addresses the mean-square exponential consensus (MSEC) challenge in stochastic delay multi-agent systems (MASs) under directed topology. The main contributions include avoiding infinitely fast sampling and conducting a random stability analysis. First, a dynamic event-triggered mechanism (DETM) with a fixed positive lower bound for the inter-execution time is designed to prohibit Zeno behavior. The proposed control strategy does not involve the expectations of system signals. Then, sampling errors are estimated using Itô isometry, which ensures that the fixed control at each work interval is maintained with adequate feedback capacity to mitigate the effects of these errors. Furthermore, with the help of a Halanay inequality in integral form and Lyapunov theorem framework, some conditions are proposed to guarantee the consensus of stochastic delay MASs under directed topology. Finally, an example is presented to prove the effectiveness of the DETM method.
{"title":"Dynamic event-triggered consensus for stochastic delay multi-agent systems under directed topology","authors":"","doi":"10.1016/j.jfranklin.2024.107314","DOIUrl":"10.1016/j.jfranklin.2024.107314","url":null,"abstract":"<div><div>This paper addresses the mean-square exponential consensus (MSEC) challenge in stochastic delay multi-agent systems (MASs) under directed topology. The main contributions include avoiding infinitely fast sampling and conducting a random stability analysis. First, a dynamic event-triggered mechanism (DETM) with a fixed positive lower bound for the inter-execution time is designed to prohibit Zeno behavior. The proposed control strategy does not involve the expectations of system signals. Then, sampling errors are estimated using Itô isometry, which ensures that the fixed control at each work interval is maintained with adequate feedback capacity to mitigate the effects of these errors. Furthermore, with the help of a Halanay inequality in integral form and Lyapunov theorem framework, some conditions are proposed to guarantee the consensus of stochastic delay MASs under directed topology. Finally, an example is presented to prove the effectiveness of the DETM method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420640","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-05DOI: 10.1016/j.jfranklin.2024.107312
In this paper, the stability of quasilinear systems on time scale is analyzed based on a new estimation of the upper bound of the time scale matrix exponential function. First, some new upper bounds for the norm of the matrix exponential function are derived, where is a regressive square matrix, , being a time scale. The matrix exponential function generalizes the usual matrix exponential as well as the integer power of a matrix. It is shown that the obtained bounds are more accurate compared to the existing bounds of the norm of the matrix exponential function. One of the upper bounds is then used for stability investigation of quasilinear systems evolving on arbitrary time domains.
本文基于对时间尺度矩阵指数函数上界的新估计，分析了准线性系统在时间尺度上的稳定性。首先，推导了矩阵指数函数 eA(t,t0) 的一些新的规范上限，其中 A 是回归方阵，t,t0∈T，T 是时间尺度。矩阵指数函数概括了通常的矩阵指数以及矩阵的整数幂。结果表明，与矩阵指数函数规范的现有界限相比，所获得的界限更为精确。其中一个上界随后被用于研究在任意时域上演化的准线性系统的稳定性。
{"title":"Stability analysis of quasilinear systems on time scale based on a new estimation of the upper bound of the time scale matrix exponential function","authors":"","doi":"10.1016/j.jfranklin.2024.107312","DOIUrl":"10.1016/j.jfranklin.2024.107312","url":null,"abstract":"<div><div>In this paper, the stability of quasilinear systems on time scale is analyzed based on a new estimation of the upper bound of the time scale matrix exponential function. First, some new upper bounds for the norm of the matrix exponential function <span><math><mrow><msub><mrow><mi>e</mi></mrow><mrow><mi>A</mi></mrow></msub><mrow><mo>(</mo><mi>t</mi><mo>,</mo><msub><mrow><mi>t</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>)</mo></mrow></mrow></math></span> are derived, where <span><math><mi>A</mi></math></span> is a regressive square matrix, <span><math><mrow><mi>t</mi><mo>,</mo><msub><mrow><mi>t</mi></mrow><mrow><mn>0</mn></mrow></msub><mo>∈</mo><mi>T</mi></mrow></math></span>, <span><math><mi>T</mi></math></span> being a time scale. The matrix exponential function generalizes the usual matrix exponential as well as the integer power of a matrix. It is shown that the obtained bounds are more accurate compared to the existing bounds of the norm of the matrix exponential function. One of the upper bounds is then used for stability investigation of quasilinear systems evolving on arbitrary time domains.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142433703","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-04DOI: 10.1016/j.jfranklin.2024.107307
In order to enhance the matching relationship between guidance subsystem and control subsystem of the thrust-vector-controlled aircraft, a kind of sufficient modeling and adaptive robust design facing to integrated guidance and control (IGC) is proposed. With respect to the researched aircraft, a linear state-dependent mathematical model facing to IGC design is first established. Based on the as-built model, a new kind of adaptive robust IGC law is proposed and it is composed by an adaptive optimal IGC law and a robustness-improved IGC law. In order to guarantee the global stability of time-varying control system, the adaptive optimal IGC law is designed by solving Riccati matrix equation on line and using matrix Sign function method. Furthermore, in order to enhance the robust ability against the unmatched system uncertainties, the robustness-improved IGC law is designed by using dynamic surface control approach and extended state observing strategy. Simulation results present that, the proposed IGC scheme presents more performance advantages compared with traditional IGC schemes, including the improvement of guidance precision and attitude stabilization. Furthermore, in the conditions of 256 simulation combinations, the minimum relative distances between aircraft position and target position are distributed from 0.103m to 5.333m, and the average value is 2.208m, which means the proposed IGC scheme possesses strong robustness against different and time-varying model uncertainties.
{"title":"Adaptive robust integrated guidance and control for thrust-vector-controlled aircraft by solving LQR online","authors":"","doi":"10.1016/j.jfranklin.2024.107307","DOIUrl":"10.1016/j.jfranklin.2024.107307","url":null,"abstract":"<div><div>In order to enhance the matching relationship between guidance subsystem and control subsystem of the thrust-vector-controlled aircraft, a kind of sufficient modeling and adaptive robust design facing to integrated guidance and control (IGC) is proposed. With respect to the researched aircraft, a linear state-dependent mathematical model facing to IGC design is first established. Based on the as-built model, a new kind of adaptive robust IGC law is proposed and it is composed by an adaptive optimal IGC law and a robustness-improved IGC law. In order to guarantee the global stability of time-varying control system, the adaptive optimal IGC law is designed by solving Riccati matrix equation on line and using matrix Sign function method. Furthermore, in order to enhance the robust ability against the unmatched system uncertainties, the robustness-improved IGC law is designed by using dynamic surface control approach and extended state observing strategy. Simulation results present that, the proposed IGC scheme presents more performance advantages compared with traditional IGC schemes, including the improvement of guidance precision and attitude stabilization. Furthermore, in the conditions of 256 simulation combinations, the minimum relative distances between aircraft position and target position are distributed from 0.103m to 5.333m, and the average value is 2.208m, which means the proposed IGC scheme possesses strong robustness against different and time-varying model uncertainties.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420642","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-04DOI: 10.1016/j.jfranklin.2024.107313
This article studies the opinions dynamics for a generalized nonlinear model with state-dependent susceptibility in signed networks on time scales. Unlike continuous-time or discrete-time models, time-scale systems can integrate continuous and discrete systems within a unified framework. Nevertheless, time-scale induced discontinuity properties can make it difficult to study the well-posedness and dynamics analysis of the opinions dynamics. In this paper, we first give a time-scale related condition to ensure the well-posedness of the nonlinear model. Then, based on time-scale theory, the comparison principle and the generalized Gronwall inequality, we focus on analyzing the dynamic behavior of the nonlinear model with three distinct susceptibility functions, which represent the behavior pattern of stubborn positives, stubborn extremists, and stubborn neutrals respectively. For the behavior pattern of stubborn positives and stubborn extremists, some sufficient conditions are given such that all agents’ viewpoints will converge exponentially towards a specific equilibrium point or achieve consensus under certain initial conditions. For the behavior pattern of stubborn neutrals, all agents’ opinions will finally reach neutrality.
{"title":"Opinions dynamics for a generalized nonlinear model with state-dependent susceptibility in signed networks on time scales","authors":"","doi":"10.1016/j.jfranklin.2024.107313","DOIUrl":"10.1016/j.jfranklin.2024.107313","url":null,"abstract":"<div><div>This article studies the opinions dynamics for a generalized nonlinear model with state-dependent susceptibility in signed networks on time scales. Unlike continuous-time or discrete-time models, time-scale systems can integrate continuous and discrete systems within a unified framework. Nevertheless, time-scale induced discontinuity properties can make it difficult to study the well-posedness and dynamics analysis of the opinions dynamics. In this paper, we first give a time-scale related condition to ensure the well-posedness of the nonlinear model. Then, based on time-scale theory, the comparison principle and the generalized Gronwall inequality, we focus on analyzing the dynamic behavior of the nonlinear model with three distinct susceptibility functions, which represent the behavior pattern of stubborn positives, stubborn extremists, and stubborn neutrals respectively. For the behavior pattern of stubborn positives and stubborn extremists, some sufficient conditions are given such that all agents’ viewpoints will converge exponentially towards a specific equilibrium point or achieve consensus under certain initial conditions. For the behavior pattern of stubborn neutrals, all agents’ opinions will finally reach neutrality.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-03DOI: 10.1016/j.jfranklin.2024.107293
This paper is concerned with the stabilization of linear time-invariant (LTI) systems with unknown parameters and external disturbances. Firstly, four types of suitable filters are presented and applied to achieve the accuracy estimate of the disturbances. Based on these filters, four types of disturbance estimators are designed and used to asymptotically cancel the corresponding disturbances. Secondly, an adaptive disturbance estimator (DE)-based control method is obtained by combining the adaptive control method with the DE-based control method. It is noted that the algebraic representation of the adaptive feedback control law is given in a more concise form by the tool of the semi-tensor product of matrix. Further, the stabilization of LTI systems is achieved by the obtained adaptive DE-based control method. Finally, three numerical examples with computer simulation are provided to verify the correctness and validity of the obtained theoretical methods.
本文主要研究具有未知参数和外部干扰的线性时变（LTI）系统的稳定问题。首先，本文提出并应用了四种合适的滤波器来实现扰动的精确估计。在这些滤波器的基础上，设计了四种扰动估计器，用于近似消除相应的扰动。其次，通过将自适应控制方法与基于扰动估计器（DE）的控制方法相结合，得到了一种基于自适应扰动估计器（DE）的控制方法。通过矩阵的半张量积工具，自适应反馈控制法的代数表示形式更加简洁。此外，基于 DE 的自适应控制方法实现了 LTI 系统的稳定。最后，通过计算机仿真提供了三个数值示例，以验证所获理论方法的正确性和有效性。
{"title":"Stabilization of LTI systems with both uncertainties and external disturbances via DE-based control method","authors":"","doi":"10.1016/j.jfranklin.2024.107293","DOIUrl":"10.1016/j.jfranklin.2024.107293","url":null,"abstract":"<div><div>This paper is concerned with the stabilization of linear time-invariant (LTI) systems with unknown parameters and external disturbances. Firstly, four types of suitable filters are presented and applied to achieve the accuracy estimate of the disturbances. Based on these filters, four types of disturbance estimators are designed and used to asymptotically cancel the corresponding disturbances. Secondly, an adaptive disturbance estimator (DE)-based control method is obtained by combining the adaptive control method with the DE-based control method. It is noted that the algebraic representation of the adaptive feedback control law is given in a more concise form by the tool of the semi-tensor product of matrix. Further, the stabilization of LTI systems is achieved by the obtained adaptive DE-based control method. Finally, three numerical examples with computer simulation are provided to verify the correctness and validity of the obtained theoretical methods.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-02DOI: 10.1016/j.jfranklin.2024.107301
This article investigates the Pareto optimality of infinite horizon cooperative linear quadratic (LQ) differential games by policy iteration technique where the system dynamics are partially or completely unknown. Firstly, the policy iteration algorithm for the approximate solutions of the corresponding algebraic Riccati equation (ARE) without any prior knowledge of the matrix parameters of the dynamic system is derived by collecting the input and state information of each player. Secondly, when the presented specific rank condition is satisfied, the convergence of the proposed algorithm is rigorously demonstrated by recursion. Moreover, the weighting approach is employed to obtain the Pareto optimal strategy and the Pareto optimal solutions on the basis of the convex optimization theory. Finally, simulation results are reported to verify the feasibility and correctness of the proposed theoretical results.
{"title":"Policy iteration based cooperative linear quadratic differential games with unknown dynamics","authors":"","doi":"10.1016/j.jfranklin.2024.107301","DOIUrl":"10.1016/j.jfranklin.2024.107301","url":null,"abstract":"<div><div>This article investigates the Pareto optimality of infinite horizon cooperative linear quadratic (LQ) differential games by policy iteration technique where the system dynamics are partially or completely unknown. Firstly, the policy iteration algorithm for the approximate solutions of the corresponding algebraic Riccati equation (ARE) without any prior knowledge of the matrix parameters of the dynamic system is derived by collecting the input and state information of each player. Secondly, when the presented specific rank condition is satisfied, the convergence of the proposed algorithm is rigorously demonstrated by recursion. Moreover, the weighting approach is employed to obtain the Pareto optimal strategy and the Pareto optimal solutions on the basis of the convex optimization theory. Finally, simulation results are reported to verify the feasibility and correctness of the proposed theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-01DOI: 10.1016/j.jfranklin.2024.107309
This paper investigates the adaptive tracking problems of switched single-input single-output strict-feedback nonlinear systems with state quantization and sensor faults. In order to alleviate the influence of the potential sensor faults and smooth the discontinuous quantized signals, a state observer is established. Then, an observer-based adaptive quantized fault-tolerant controller is designed by introducing a set of new error variables. It is shown that the presented approach can enable the output tracking error to be arbitrarily small. At last, three examples are given to illustrate the effectiveness of the presented method.
{"title":"An observer-based approach to adaptive tracking for switched strict-feedback nonlinear systems with state quantization and sensor faults","authors":"","doi":"10.1016/j.jfranklin.2024.107309","DOIUrl":"10.1016/j.jfranklin.2024.107309","url":null,"abstract":"<div><div>This paper investigates the adaptive tracking problems of switched single-input single-output strict-feedback nonlinear systems with state quantization and sensor faults. In order to alleviate the influence of the potential sensor faults and smooth the discontinuous quantized signals, a state observer is established. Then, an observer-based adaptive quantized fault-tolerant controller is designed by introducing a set of new error variables. It is shown that the presented approach can enable the output tracking error to be arbitrarily small. At last, three examples are given to illustrate the effectiveness of the presented method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-09-30DOI: 10.1016/j.jfranklin.2024.107303
Electrolysis is the primary energy-consuming process in zinc hydrometallurgy. Time-of-use pricing policy has caused changes in the optimal operating conditions of the electrolysis cell, necessitating adjustments to key parameters such as current density and the acid-to-zinc ratio to migrate it to the desired operational state. However, while the current density can be switched instantaneously, adjustments to the acid-to-zinc ratio occur slowly, leading to a prolonged mismatch between these key parameters, increasing energy consumption. To address this problem, this paper proposes a co-optimized control method of key parameters during the operating state migration in zinc electrolysis process. First, a co-optimization model is established with current density and acid-to-zinc ratio as decision variables. Next, a cascade control framework is designed in which the current density controller is subordinate to the acid-to-zinc ratio controller, transforming the problem of solving the co-optimization model into a parameter optimization problem for the acid-to-zinc ratio controller. Finally, a fitness function representing energy efficiency, control performance, and zinc yield during the operating state migration in zinc electrolysis process is designed, and a heuristic algorithm is employed to find the optimal parameters for the acid-to-zinc ratio controller. This achieves the optimal trajectory migration of the operating state in the zinc electrolysis process. Simulation experiments demonstrate that the proposed method can reduce energy consumption during the operating state migration without compromising production efficiency, offering a new approach to energy-saving in the zinc electrolysis industry.
{"title":"A co-optimized control method of key parameters during operating state migration in zinc electrolysis process","authors":"","doi":"10.1016/j.jfranklin.2024.107303","DOIUrl":"10.1016/j.jfranklin.2024.107303","url":null,"abstract":"<div><div>Electrolysis is the primary energy-consuming process in zinc hydrometallurgy. Time-of-use pricing policy has caused changes in the optimal operating conditions of the electrolysis cell, necessitating adjustments to key parameters such as current density and the acid-to-zinc ratio to migrate it to the desired operational state. However, while the current density can be switched instantaneously, adjustments to the acid-to-zinc ratio occur slowly, leading to a prolonged mismatch between these key parameters, increasing energy consumption. To address this problem, this paper proposes a co-optimized control method of key parameters during the operating state migration in zinc electrolysis process. First, a co-optimization model is established with current density and acid-to-zinc ratio as decision variables. Next, a cascade control framework is designed in which the current density controller is subordinate to the acid-to-zinc ratio controller, transforming the problem of solving the co-optimization model into a parameter optimization problem for the acid-to-zinc ratio controller. Finally, a fitness function representing energy efficiency, control performance, and zinc yield during the operating state migration in zinc electrolysis process is designed, and a heuristic algorithm is employed to find the optimal parameters for the acid-to-zinc ratio controller. This achieves the optimal trajectory migration of the operating state in the zinc electrolysis process. Simulation experiments demonstrate that the proposed method can reduce energy consumption during the operating state migration without compromising production efficiency, offering a new approach to energy-saving in the zinc electrolysis industry.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":3.7,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142420764","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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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