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Exact and approximate distributed controllability of processes described by KdV and Boussinesq equations: The Green’s function approach 由KdV和Boussinesq方程描述的过程的精确和近似分布可控性:格林函数方法
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/ACS.2020.132591
J. Klamka, A. Avetisyan, A. Khurshudyan
{"title":"Exact and approximate distributed controllability of processes described by KdV and Boussinesq equations: The Green’s function approach","authors":"J. Klamka, A. Avetisyan, A. Khurshudyan","doi":"10.24425/ACS.2020.132591","DOIUrl":"https://doi.org/10.24425/ACS.2020.132591","url":null,"abstract":"In this paper, we study the constrained exact and approximate controllability of traveling wave solutions of Korteweg-de Vries (third order) and Boussinesq (fourth order) semi-linear equations using the Green’s function approach. Control is carried out by a moving external source. Representing the general solution of those equations in terms of the Frasca’s short time expansion, system of constraints on the distributed control is derived for both types of controllability. Due to the possibility of explicit solution provided by the heuristic method, the controllability analysis becomes straightforward. Numerical analysis confirms theoretical derivations.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"131 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77865301","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}
引用次数: 1
A new multi-stable chaotic hyperjerk system, its special features, circuit realization, control and synchronization 一种新的多稳定混沌超跳系统，其特点、电路实现、控制与同步
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/ACS.2020.132584
V. Pham, S. Vaidyanathan, C. Volos, S. Jafari, T. Kapitaniak
{"title":"A new multi-stable chaotic hyperjerk system, its special features, circuit realization, control and synchronization","authors":"V. Pham, S. Vaidyanathan, C. Volos, S. Jafari, T. Kapitaniak","doi":"10.24425/ACS.2020.132584","DOIUrl":"https://doi.org/10.24425/ACS.2020.132584","url":null,"abstract":"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.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"80 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76442340","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}
引用次数: 3
Global path planning for multiple AUVs using GWO 基于GWO的多auv全局路径规划
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/acs.2020.132586
Bhusan Pati
{"title":"Global path planning for multiple AUVs using GWO","authors":"Bhusan Pati","doi":"10.24425/acs.2020.132586","DOIUrl":"https://doi.org/10.24425/acs.2020.132586","url":null,"abstract":"In global path planning (GPP), an autonomous underwater vehicle (AUV) tracks a predefined path. The main objective of GPP is to generate a collision free sub-optimal path with minimum path cost. The path is defined as a set of segments, passing through selected nodes known as waypoints. For smooth planar motion, the path cost is a function of the path length, the threat cost and the cost of diving. Path length is the total distance travelled from start to end point, threat cost is the penalty of collision with the obstacle and cost of diving is the energy expanse for diving deeper in ocean. This paper addresses the GPP problem for multiple AUVs in formation. Here, Grey Wolf Optimization (GWO) algorithm is used to find the suboptimal path for multiple AUVs in formation. The results obtained are compared to the results of applying Genetic Algorithm (GA) to the same problem. GA concept is simple to understand, easy to implement and supports multi-objective optimization. It is robust to local minima and have wide applications in various fields of science, engineering and commerce. Hence, GA is used for this comparative study. The performance analysis is based on computational time, length of the path generated and the total path cost. The resultant path obtained using GWO is found to be better than GA in terms of path cost and processing time. Thus, GWO is used as the GPP algorithm for three AUVs in formation. The formation follows leader-follower topography. A sliding mode controller (SMC) is developed to minimize the tracking error based on local information while maintaining formation, as mild communication exists. The stability of the sliding surface is verified by Lyapunov stability analysis. With proper path planning, the path cost can be minimized as AUVs can reach their target in less time with less energy expanses. Thus, lower path cost leads to less expensive underwater missions. Global Path Planning (GPP), Grey Wolf Optimization(GWO), Sliding Mode Control (SMC), waypoints","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"54 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74291656","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}
引用次数: 13
Application of predictive control for manipulator mounted on a satellite 预测控制在卫星机械臂上的应用
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/119079
T. Rybus, K. Seweryn, J. Sasiadek
{"title":"Application of predictive control for manipulator mounted on a satellite","authors":"T. Rybus, K. Seweryn, J. Sasiadek","doi":"10.24425/119079","DOIUrl":"https://doi.org/10.24425/119079","url":null,"abstract":"Specific conditions of on-orbit environment are taken into account in the design of all devices intended to be used in space. Despite this fact malfunctions of satellites occur and sometimes lead to shortening of the satellite operational lifetime. It is considered to use unmanned servicing satellite, that could perform repairs of other satellites. Such satellites equipped with a manipulator, could be used to capture and remove from orbit large space debris. The critical part of planned missions is the capture manoeuvre. In this paper a concept of the control system for the manipulator mounted on the satellite is presented. This control system is composed of the trajectory planning module and model predictive controller (the latter is responsible for ensuring precise realization of the planned trajectory). Numerical simulations performed for the simplified planar case with a 2 DoF manipulator show that the results obtained with the predictive control are better than the results obtained with adaptive control method.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"4 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74410599","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}
引用次数: 15
Controllabilty and stability analysis on a group associated with Black-Scholes equation Black-Scholes方程相关群的可控性和稳定性分析
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/acs.2020.134677
Archana Tiwari, Debanjana Bhattacharyya
{"title":"Controllabilty and stability analysis on a group associated with Black-Scholes equation","authors":"Archana Tiwari, Debanjana Bhattacharyya","doi":"10.24425/acs.2020.134677","DOIUrl":"https://doi.org/10.24425/acs.2020.134677","url":null,"abstract":"In this paper we have studied the driftless control system on a Lie group which arises due to the invariance of Black-Scholes equation by conformal transformations. These type of studies are possible as Black-Scholesequation can be mapped to one dimensional free Schrödingerequation. In particular we have studied the controllability, optimal control of the resulting dynamics as well as stability aspects of this system. We have also found out the trajectories of the states of the system through two unconventional integrators along with conventional Runge-Kutta integrator.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"3 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75956686","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}
引用次数: 0
The practical stability of the discrete, fractional order, state space model of the heat transfer process 传热过程离散分数阶状态空间模型的实际稳定性
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/acs.2018.124712
K. Oprzȩdkiewicz, Edyta Gawin
{"title":"The practical stability of the discrete, fractional order, state space model of the heat transfer process","authors":"K. Oprzȩdkiewicz, Edyta Gawin","doi":"10.24425/acs.2018.124712","DOIUrl":"https://doi.org/10.24425/acs.2018.124712","url":null,"abstract":"In the paper the practical stability problem for the discrete, non-integer order model of one dimmensional heat transfer process is discussed. The conditions associating the practical stability to sample time and maximal size of finite-dimensional approximation of heat transfer model are proposed. These conditions are formulated with the use of spectrum decoposition property and practical stability conditions for scalar, positive, fractional order systems. Results are illustrated by a numerical example.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"1 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73204414","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}
引用次数: 5
Effectiveness of Dynamic Matrix Control algorithm with Laguerre functions 带拉盖尔函数的动态矩阵控制算法的有效性
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.139731
P. Tatjewski, P. Tatjewski
{"title":"Effectiveness of Dynamic Matrix Control algorithm with Laguerre functions","authors":"P. Tatjewski, P. Tatjewski","doi":"10.24425/acs.2021.139731","DOIUrl":"https://doi.org/10.24425/acs.2021.139731","url":null,"abstract":"The paper is concerned with the presentation and analysis of the Dynamic Matrix Control (DMC) model predictive control algorithm with the representation of the process input trajectories by parametrised sums of Laguerre functions. First the formulation of the DMCL (DMC with Laguerre functions) algorithm is presented. The algorithm differs from the standard DMC one in the formulation of the decision variables of the optimization problem – coefficients of approximations by the Laguerre functions instead of control input values are these variables. Then the DMCL algorithm is applied to two multivariable benchmark problems to investigate properties of the algorithm and to provide a concise comparison with the standard DMC one. The problems with difficult dynamics are selected, which usually leads to longer prediction and control horizons. Benefits from using Laguerre functions were shown, especially evident for smaller sampling intervals.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"82 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79791184","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}
引用次数: 2
Exact determinantions of maximal output admissible set for a class of semilinear discrete systems 一类半线性离散系统最大输出容许集的精确确定
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/ACS.2020.134676
A. Bhih, Y. Benfatah, M. Rachik
{"title":"Exact determinantions of maximal output admissible set for a class of semilinear discrete systems","authors":"A. Bhih, Y. Benfatah, M. Rachik","doi":"10.24425/ACS.2020.134676","DOIUrl":"https://doi.org/10.24425/ACS.2020.134676","url":null,"abstract":"and the corresponding output signal y ( i ) = Cx ( i i 0 , where A is a n (cid:2) n matrix, C is a p (cid:2) n matrix and f is a nonlinear function. An initial state x ( 0 ) is output admissible with respect to A , f , C and a constraint set Ω (cid:26) R p , if the output signal ( y ( i )) i associated to our system satisfies the condition y ( i ) 2 Ω , for every integer i 0 . The set of all possible such initial conditions is the maximal output admissible set (cid:0) ( Ω ) . In this paper we will define a new set that characterizes the maximal output set in various systems (controlled and uncontrolled systems). Therefore, we propose an algorithmic approach that permits to verify if such set is finitely determined or not. The case of discrete delayed systems is taken into consideration as well. To illustrate our work, we give various numerical simulations.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"36 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85823576","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}
引用次数: 5
Unified design method of time delayed PI controller for first order plus dead-time process models with different dead-time to time constant ratio 具有不同死时常数比的一阶加死时过程模型的时滞PI控制器的统一设计方法
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.137427
Arun R. Pathiran, R. Muniraj, M. Iruthayarajan, S. R. Boselin
{"title":"Unified design method of time delayed PI controller for first order plus dead-time process models with different dead-time to time constant ratio","authors":"Arun R. Pathiran, R. Muniraj, M. Iruthayarajan, S. R. Boselin","doi":"10.24425/acs.2021.137427","DOIUrl":"https://doi.org/10.24425/acs.2021.137427","url":null,"abstract":"The time delay element present in the PI controller brings dead-time compensation capability and shows improved performance for dead-time processes. However, design of robust time delayed PI controller needs much responsiveness for uncertainty in dead-time processes. Hence in this paper, robustness of time delayed PI controller has been analyzed for First Order plus Dead-Time (FOPDT) process model. The process having dead-time greater than three times of time constant is very sensitive to dead-time variation. A first order filter is introduced to ensure robustness. Furthermore, integral time constant of time delayed PI controller is modified to attain better regulatory performance for the lag-dominant processes. The FOPDT process models are classified into dead-time/lag dominated on the basis of dead-time to time constant ratio. A uni-fied tuning method is developed for processes with a number of dead-time to time constant ratio. Several simulation examples and experimental evaluation are exhibited to show the efficiency of the proposed unified tuning technique. The applicability to the process models other than FOPDT such as high-order, integrating, right half plane zero systems are also demonstrated via simulation examples.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"75 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78580327","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}
引用次数: 0
The LQG homing problem for a Wiener process with random infinitesimal parameters 具有随机无穷小参数的Wiener过程的LQG寻的问题
IF 1.2 4区 计算机科学
Archives of Control Sciences Pub Date : 2023-07-20 DOI: 10.24425/acs.2019.130198
M. Lefebvre, Abderrazak Moutassim
{"title":"The LQG homing problem for a Wiener process with random infinitesimal parameters","authors":"M. Lefebvre, Abderrazak Moutassim","doi":"10.24425/acs.2019.130198","DOIUrl":"https://doi.org/10.24425/acs.2019.130198","url":null,"abstract":"The problem of optimally controlling a Wiener process until it leaves an interval (a, b) for the first time is considered in the case when the infinitesimal parameters of the process are random. When a = −∞, the exact optimal control is derived by solving the appropriate system of differential equations, whereas a very precise approximate solution in the form of a polynomial is obtained in the two-barrier case.","PeriodicalId":48654,"journal":{"name":"Archives of Control Sciences","volume":"56 1","pages":""},"PeriodicalIF":1.2,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78334179","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}
引用次数: 2
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