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Evacuation by leader-follower model with bounded confidence and predictive mechanisms 具有有限置信度和预测机制的领导-追随者疏散模型
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.138695
R. Almeida, E. Girejko, Luís Machado, A. Malinowska, Natália Martins
This paper studies an evacuation problem described by a leader-follower model with bounded confidence under predictive mechanisms. We design a control strategy in such a way that agents are guided by a leader, which follows the evacuation path. The proposed evacuation algorithm is based on Model Predictive Control (MPC) that uses the current and the past information of the system to predict future agents’ behaviors. It can be observed that, with MPC method, the leader-following consensus is obtained faster in comparison to the conventional optimal control technique. The effectiveness of the developed MPC evacuation algorithm with respect to different parameters and different time domains is illustrated by numerical examples.
本文研究了在预测机制下由有界置信度的领导-随从模型描述的疏散问题。我们设计了一种控制策略,在这种方式下,代理由领导者引导,领导者遵循疏散路径。该疏散算法基于模型预测控制(MPC),利用系统的当前和过去信息来预测未来智能体的行为。可以看出,与传统的最优控制技术相比,MPC方法可以更快地获得领导-跟随共识。数值算例说明了所提出的MPC疏散算法在不同参数和不同时域下的有效性。
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引用次数: 1
Fractional order PI λD μ controller with optimal parameters using Modified Grey Wolf Optimizer for AVR system 基于改进灰狼优化器的分数阶PI λD μ控制器用于AVR系统
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/acs.2022.141719
Santosh Kumar, R. Devarapalli
In this paper, an automatic voltage regulator (AVR) embedded with fractional order PID (FOPID) is employed for the alternator terminal voltage control. A novel meta-heuristic technique, a modified version of grey wolf optimizer (mGWO) is proposed to design and optimize the FOPID AVR system. The parameters of FOPID, namely, proportional gain ( 𝐾 𝑃 ) , the integral gain ( 𝐾 𝐼 ) , the derivative gain ( 𝐾 𝐷 ) , 𝜆 and 𝜇 have been optimally tuned with the proposed mGWO technique using a novel fitness function. The initial values of the 𝐾 𝑃 , 𝐾 𝐼 , and 𝐾 𝐷 of the FOPID controller are obtained using Ziegler-Nichols (ZN) method, whereas the initial values of 𝜆 and 𝜇 have been chosen as arbitrary values.The proposed algorithm offers more benefits such as easy implementation, fast convergence characteristics, and excellent computational ability for the optimization of functions with more than three variables. Additionally, the hasty tuning of FOPID controller parameters gives a high-quality result, and the proposed controller also improves the robustness of the system during uncertainties in the parameters. The quality of the simulated result of the proposed controller has been validatedby other state-of-the-art techniques in the literature.
本文采用嵌入分数阶PID (FOPID)的自动调压器(AVR)对交流发电机端电压进行控制。提出了一种新的元启发式技术——改进的灰狼优化器(mGWO)来设计和优化FOPID AVR系统。FOPID的参数,即比例增益(𝐾< < < < < < < < < < < < < < < < > > > >),积分增益(𝐾𝐼< < > >),导数增益(𝐾𝐷< < < >),和< < < < < > >,已经通过mGWO技术使用新的适应度函数进行了优化调整。采用Ziegler-Nichols (ZN)法获得了FOPID控制器的𝐾、𝐾、𝐾𝐼和𝐾𝐷的初始值,而选择了任意值的、0、0、0的初始值。该算法具有实现简单、收敛速度快、计算能力强等优点,适用于3个以上变量的函数优化。此外,FOPID控制器参数的快速整定得到了高质量的结果,并且该控制器还提高了系统在参数不确定时的鲁棒性。所提出的控制器的模拟结果的质量已被文献中其他最先进的技术所验证。
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引用次数: 3
Definition of dynamic characteristics of pointer measuring devices on the basis of automatic indications determination 基于自动指示测定的指针测量装置动态特性的定义
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/ACS.2018.124709
V. Kucheruk, I. Kurytnik, P. Kulakov, R. Lishchuk, Y. Moskvichova, A. Kulakova
The article presents the method and algorithm of automatic pointer measuring devices (voltmeter, manometer, metronomes etc.) indications determination in order to determine their dynamic characteristics with the help of web-camera and personal computer. The results of test-ing and experimental research of developed tool for determining the dynamic characteristics of pointer measuring devices are given. Using this method, the algorithm and the software developed, the process of determining the dynamic characteristics of the pointer measuring devices was automated. The time of recognition and calculation of one measured value for a dual-core processor and webcam with a resolution of 0.3 Mp averages 250–330 ms.
本文介绍了利用网络摄像机和个人计算机对指针式自动测量装置(电压表、压力计、节拍器等)的动态特性进行测定的方法和算法。给出了研制的指针式测量装置动态特性测试仪的测试和实验研究结果。利用该方法,开发了算法和软件,实现了指针式测量装置动态特性测定过程的自动化。对于分辨率为0.3 Mp的双核处理器和网络摄像头,识别和计算一个测量值的平均时间为250-330 ms。
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引用次数: 7
Stability analysis of engineering/physical dynamic systems using residual energy function 用剩余能量函数分析工程/物理动力系统的稳定性
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/123456
Cim Civelek
In this article, an engineering/physical dynamic system including losses is analyzed in relation to the stability from an engineer’s/physicist’s point of view. Firstly, conditions for a Hamiltonian to be an energy function, time independent or not, is explained herein. To analyze stability of engineering system, Lyapunov-like energy function, called residual energy function is used. The residual function may contain, apart from external energies, negative losses as well. This function includes the sum of potential and kinetic energies, which are special forms and ready-made (weak) Lyapunov functions, and loss of energies (positive and/or negative) of a system described in different forms using tensorial variables. As the Lypunov function, residual energy function is defined as Hamiltonian energy function plus loss of energies and then associated weak and strong stability are proved through the first time-derivative of residual energy function. It is demonstrated how the stability analysis can be performed using the residual energy functions in different formulations and in generalized motion space when available. This novel approach is applied to RLC circuit, AC equivalent circuit of Gunn diode oscillator for autonomous, and a coupled (electromechanical) example for nonautonomous case. In the nonautonomous case, the stability criteria can not be proven for one type of formulation, however, it can be proven in the other type formulation.
在这篇文章中,从工程师/物理学家的角度分析了一个包括损失的工程/物理动态系统与稳定性的关系。首先,本文解释了哈密顿函数是与时间无关的能量函数的条件。为了分析工程系统的稳定性,采用了类李雅普诺夫能量函数,即剩余能量函数。除外部能量外,残差函数还可能包含负损失。这个函数包括势能和动能的总和,它们是特殊形式和现成的(弱)李雅普诺夫函数,以及使用张量变量以不同形式描述的系统的能量损失(正和/或负)。作为Lypunov函数,将剩余能量函数定义为哈密顿能量函数加上能量损失,然后通过对剩余能量函数的一次导数证明其弱稳定性和强稳定性。演示了如何使用剩余能量函数在不同的公式和广义运动空间中进行稳定性分析。将该方法应用于RLC电路、Gunn二极管振荡器的交流等效电路和非自治情况下的耦合(机电)算例。在非自治情况下,一种形式的稳定性判据不能被证明,而另一种形式的稳定性判据可以被证明。
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引用次数: 2
Application of maximum principle to optimization of production and storage costs 应用最大化原理优化生产和储存成本
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.139734
L. Popescu, Ramona-Maria Dimitrov
A problem of optimization for production and storge costs is studied. The problem consists in manufacture of n types of products, with some given restrictions, so that the total production and storage costs are minimal. The mathematical model is built using the framework of driftless control affine systems. Controllability is studied using Lie geometric methods and the optimal solution is obtained with Pontryagin Maximum Principle. It is proved that the economical system is not controllable, in the sense that we can only produce a certain quantity of products. Finally, some numerical examples are given with graphical representation.
研究了生产和储存成本的优化问题。这个问题包括制造n种产品,在一些给定的限制下,使总生产和存储成本最小。采用无漂控制仿射系统的框架建立了数学模型。利用李氏几何方法研究了系统的可控性,利用庞特里亚金极大值原理得到了系统的最优解。这证明了经济系统是不可控的,即我们只能生产一定数量的产品。最后给出了一些数值算例,并用图形表示。
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引用次数: 1
Mittag-Leffler stability analysis of a class of homogeneous fractional systems 一类齐次分数系统的Mittag-Leffler稳定性分析
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.137424
T. Fajraoui, B. Ghanmi, Fehmi Mabrouk, F. Omri
a class of homogeneous fractional Systems, then we shall prove that local and global behaviors are the same. The uniform Mittag-Leffler stability of homogeneous fractional time-varying systems is studied. A numerical example is given to illustrate the efficiency of the obtained results.
一类齐次分数系统,那么我们将证明局部行为和全局行为是相同的。研究了齐次分数阶时变系统的一致Mittag-Leffler稳定性。算例说明了所得结果的有效性。
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引用次数: 1
The unique solvability of stationary and non-stationary incompressible melt models in the case of their linearization 平稳和非平稳不可压缩熔体模型在线性化情况下的独特可解性
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.137420
S. Kazhikenova
The article presents ε -approximation of hydrodynamics equations’ stationary model along with the proof of a theorem about existence of a hydrodynamics equations’ strongly generalized solution. It was proved by a theorem on the existence of uniqueness of the hydrodynamics equations’ temperature model’s solution, taking into account energy dissipation. There was implemented the Galerkin method to study the Navier–Stokes equations, which provides the study of the boundary value problems correctness for an incompressible viscous flow both numerically and analytically. Approximations of stationary and non-stationary models of the hydrodynamics equations were constructed by a system of Cauchy–Kovalevsky equations with a small parameter ε . There was developed an algorithm for numerical modelling of the Navier– Stokes equations by the finite difference method.
本文给出了流体力学方程平稳模型的ε -近似,并证明了一个流体力学方程强广义解的存在性定理。利用考虑能量耗散的水动力方程温度模型解的存在唯一性定理证明了这一点。采用Galerkin方法研究了Navier-Stokes方程,从数值和解析两方面证明了不可压缩粘性流动边值问题的正确性。用具有小参数ε的Cauchy-Kovalevsky方程组构造了流体动力学方程的平稳模型和非平稳模型的近似。提出了一种用有限差分法对Navier - Stokes方程进行数值模拟的算法。
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引用次数: 0
Human–robot cooperation in sorting of randomly distributed objects 随机分布对象排序中的人机合作
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/acs.2019.131228
E. Jezierski, Piotr Łuczak, Pawel Smyczynski, D. Zarychta
The paper presents the possibilities of teaching a robot controller to perform operations of autonomous segregation of objects differing in features that can be identified using a vision system. Objects can be arranged freely on the robot scene also covered withothers. In the learning phase, a robot operator presents the segregation method by moving subsequent objects held in a human hand, e.g. a red object to container A, a green object to container B, etc. The robot system, after recognizing the idea of segregation that is being done using the vision system, continues this work in an autonomous way, until all identified objects will be removed from robotic scene. There are no restrictions on the dimensions, shapes and placement of containers collecting segregated objects. The developed algorithms were verified on a test bench equipped with two modern robots KUKA LBR iiwa 14 R820.
本文提出了教机器人控制器执行可使用视觉系统识别的不同特征的对象的自主分离操作的可能性。物体可以在机器人场景上自由排列,也可以覆盖其他物体。在学习阶段,机器人操作员通过将人类手中的后续物体移动到容器a,将绿色物体移动到容器B等方式来呈现分离方法。机器人系统在识别出使用视觉系统进行隔离的想法后,以自主的方式继续这项工作,直到所有识别的物体都从机器人场景中移除。对于收集隔离对象的容器的尺寸、形状和位置没有限制。所开发的算法在配备两台现代机器人KUKA LBR iiwa 14 R820的试验台上进行了验证。
{"title":"Human–robot cooperation in sorting of randomly distributed objects","authors":"E. Jezierski, Piotr Łuczak, Pawel Smyczynski, D. Zarychta","doi":"10.24425/acs.2019.131228","DOIUrl":"https://doi.org/10.24425/acs.2019.131228","url":null,"abstract":"The paper presents the possibilities of teaching a robot controller to perform operations of autonomous segregation of objects differing in features that can be identified using a vision system. Objects can be arranged freely on the robot scene also covered withothers. In the learning phase, a robot operator presents the segregation method by moving subsequent objects held in a human hand, e.g. a red object to container A, a green object to container B, etc. The robot system, after recognizing the idea of segregation that is being done using the vision system, continues this work in an autonomous way, until all identified objects will be removed from robotic scene. There are no restrictions on the dimensions, shapes and placement of containers collecting segregated objects. The developed algorithms were verified on a test bench equipped with two modern robots KUKA LBR iiwa 14 R820.","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":"77976687","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
Absolute stability of a class of nonlinear systems with nonpositive linear parts 一类非线性非线性系统的绝对稳定性
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/acs.2019.129380
T. Kaczorek
A dynamical system is called positive if its trajectory starting from any nonnegative initial state remains forever in the positive orthant for all nonnegative inputs. An overview of state of the art in positive theory is given in the monographs and papers [1, 2, 6, 11, 12]. Variety of models having positive behavior can be found in engineering, economics, social sciences, biology and medicine. The stability of linear and nonlinear standard and positive fractional systems has been addressed in [3–6, 8, 15, 16, 20–23]. The stabilization of positive descriptor fractional systems has been investigated in [10, 11, 20, 21]. The superstable linear systems have been addressed in [17, 18]. Positive linear systems with different fractional orders have been introduced in [14, 13] and their stability has been analyzed in [3, 20]. The absolute stability of a class of positive nonlinear systems has been investigated in [7]. In this paper the positivity and absolute stability of a class of nonlinear continuous-time and discrete-time systems with nonpositive linear parts will be addressed. The paper is organized as follows. In section 2 some preliminaries concerning positivity and stability of linear systems are recalled. The positivity and absolute stability of positive continuous-time nonlinear systems with nonpositive linear
如果一个动力系统从任何非负初始状态出发的轨迹对于所有非负输入都永远保持在正正交上,那么这个动力系统就是正的。在专著和论文[1,2,6,11,12]中给出了实证理论的最新概况。在工程学、经济学、社会科学、生物学和医学中都可以找到各种具有积极行为的模型。在[3 - 6,8,15,16,20 - 23]中讨论了线性和非线性标准和正分数系统的稳定性。在文献[10,11,20,21]中研究了正广义分数系统的镇定问题。超稳定线性系统已经在[17,18]中得到了解决。在[14,13]中引入了不同分数阶的正线性系统,并在[3,20]中分析了它们的稳定性。研究了[7]中一类正非线性系统的绝对稳定性。本文研究了一类具有非线性部分的非线性连续和离散系统的正稳定性和绝对稳定性。本文组织如下。在第2节中,回顾了关于线性系统的正稳定性的一些初步研究。非正线性正连续时间非线性系统的正稳定性和绝对稳定性
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引用次数: 0
A separation principle for Takagi-Sugeno control fuzzy systems Takagi-Sugeno控制模糊系统的分离原理
IF 1.2 4区 计算机科学 Q2 Mathematics Pub Date : 2023-07-20 DOI: 10.24425/acs.2019.129379
N. H. Taieb, Hammami, F. Delmotte
An important application of state estimation is feedback control: an estimate of the state (typically the mean estimate) is used as input to a state-feedback controller. This scheme is known as observer based control, and it is a common way of designing an output-feedback controller (i.e. a controller that does not have access to perfect state measurements). In this paper, under the fact that both the estimator dynamics and the state feedback dynamics are stable we propose a separation principle for Takagi-Sugeno fuzzy control systems with Lipschitz nonlinearities. The considered nonlinearities are Lipschitz or meets an integrability condition which have no influence on the LMI to prove the stability of the associated closed-loop system. Furthermore, we give an example to ullistrate the applicability of the main result.
状态估计的一个重要应用是反馈控制:状态估计(通常是均值估计)被用作状态反馈控制器的输入。这种方案被称为基于观测器的控制,它是设计输出反馈控制器(即不能获得完美状态测量的控制器)的常用方法。本文在估计器动态和状态反馈动态都稳定的情况下,提出了具有Lipschitz非线性的Takagi-Sugeno模糊控制系统的分离原理。所考虑的非线性是Lipschitz或满足对LMI没有影响的可积条件,以证明相关闭环系统的稳定性。最后通过算例说明了主要结果的适用性。
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引用次数: 5
期刊
Archives of Control Sciences
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