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The magnitude optimum design of the PI controller for plants with complex roots and dead time 具有复杂根系和枯死时间的植物PI控制器的幅度优化设计
IF 1.2 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-07-20 DOI: 10.24425/acs.2022.140862
J. Cvejn
Analytical design of the PID-type controllers for linear plants based on the magnitude optimum criterion usually results in very good control quality and can be applied directly for high-order linear models with dead time, without need of any model reduction. This paper brings an analysis of properties of this tuning method in the case of the PI controller, which shows that it guarantees closed-loop stability and a large stability margin for stable linear plants without zeros, although there are limitations in the case of oscillating plants. In spite of the fact that the magnitude optimum criterion prescribes the closed-loop response only for low frequencies and the stability margin requirements are not explicitly included in the design objective, it reveals that proper open-loop behavior in the middle and high frequency ranges, decisive for the closed-loop stability and robustness, is ensured automatically for the considered class of linear systems if all damping ratios corresponding to poles of the plant transfer function without the dead-time term are sufficiently high.
基于幅度最优准则的线性对象pid型控制器的解析设计通常具有很好的控制质量,并且可以直接应用于具有死区时间的高阶线性模型,而无需进行任何模型化简。本文分析了该整定方法在PI控制器情况下的性质,表明该方法对无零的稳定线性对象保证了闭环稳定性和较大的稳定裕度,尽管在振荡对象情况下存在局限性。尽管幅值最优准则仅规定了低频时的闭环响应,并且设计目标中没有明确包括稳定裕度要求,但它表明,在中高频范围内适当的开环行为对闭环的稳定性和鲁棒性具有决定性作用。对于所考虑的一类线性系统,如果与无死时间项的植物传递函数的极点相对应的所有阻尼比都足够高,则自动确保。
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引用次数: 0
Adaptive observer design for systems with incremental quadratic constraints and nonlinear outputs – application to chaos synchronization 增量二次约束非线性输出系统的自适应观测器设计——在混沌同步中的应用
IF 1.2 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-07-20 DOI: 10.24425/acs.2022.140867
L. Moysis, Meenakshi Tripathi, M. Gupta, M. Marwan, C. Volos
This work addresses the problem of adaptive observer design for nonlinear systems satisfying incremental quadratic constraints. The output of the system includes nonlinear terms, which puts an additional strain on the design and feasibility of the observer, which is guaranteed under the satisfaction of an LMI, and a set of algebraic constraints. A particular case where the output nonlinearity matches the unknown parameter coefficient is also discussed. The result is illustrated through a numerical example for the chaos synchronization of the Rössler system.
本文研究了满足增量二次约束的非线性系统的自适应观测器设计问题。系统的输出包含非线性项,这给观测器的设计和可行性带来了额外的压力,而观测器的设计和可行性是在满足LMI和一组代数约束的情况下保证的。文中还讨论了输出非线性与未知参数系数匹配的特殊情况。通过Rössler系统混沌同步的数值算例说明了上述结果。
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引用次数: 4
On optimal control problem subject to fractional order discrete time singular systems 分数阶离散时间奇异系统的最优控制问题
IF 1.2 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.139733
Tirumalasetty Chiranjeevi, R. Biswas, R. Devarapalli, N. Babu, F. Márquez
In this work, we present optimal control formulation and numerical algorithm for fractional order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time endpoint condition. The performance index (PI) is in quadratic form, and the system dynamics is in the sense of Riemann-Liouville fractional derivative (RLFD). A coordinate transformation is used to convert the fractional-order DTSS into its equivalent non-singular form, and then the optimal control problem (OCP) is formulated. The Hamiltonian technique is used to derive the necessary conditions. A solution algorithm is presented for solving the OCP. To validate the formulation and the solution algorithm, an example for fixed terminal state and fixed terminal time case is presented.
本文给出了固定终端状态和固定终端时间端点条件下分数阶离散时间奇异系统的最优控制公式和数值算法。性能指标(PI)为二次型,系统动力学为Riemann-Liouville分数阶导数(RLFD)。利用坐标变换将分数阶DTSS转化为其等效的非奇异形式,建立了最优控制问题(OCP)。用哈密顿法推导了必要条件。提出了一种求解OCP的算法。为了验证公式和求解算法,给出了固定终端状态和固定终端时间的实例。
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引用次数: 1
Output tracking control of an aircraft subject to additive state dependent disturbance: an optimal control approach 加性状态相关扰动下飞机输出跟踪控制:一种最优控制方法
IF 1.2 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.137418
Ilker Tanyer, E. Tatlicioglu, E. Zergeroglu
In this paper, model reference output feedback tracking control of an aircraft subject to additive, uncertain, nonlinear disturbances is considered. In order to present the design steps in a clearfashion:first,theaircraftdynamicsistemporarilyassumedasknownwithallthestatesofthe systemavailable.Thenafeedbacklinearizingcontrollerminimizingaperformanceindexwhile onlyrequiringtheoutputmeasurementsofthesystemisproposed.Astheaircraftdynamics isuncertainandonlytheoutputisavailable,theproposedcontrollermakesuseofanovel uncertaintyestimator.Thestabilityoftheclosedloopsystemandglobalasymptotictrackingof theproposedmethodareensuredviaLyapunovbasedarguments,asymptoticconvergenceof thecontrollertoanoptimalcontrollerisalsoestablished.Numericalsimulationsarepresented inordertodemonstratethefeasibilityandperformanceoftheproposedcontrolstrategy.
研究了具有加性、不确定、非线性扰动的飞机的模型参考输出反馈跟踪控制问题。为了以一种清晰的方式呈现设计步骤:首先,飞机动力学系统暂时被假设为已知系统的所有可用状态。Thenafeedbacklinearizingcontrollerminimizingaperformanceindexwhile onlyrequiringtheoutputmeasurementsofthesystemisproposed。由于飞机动力学是不确定的,并且只有输出是可用的,因此所提出的控制器使用了新的不确定性估计器。通过基于apunov的参数,保证了闭环系统的稳定性和方法的全局渐近跟踪性,并建立了控制器向最优控制器的渐近收敛性。Numericalsimulationsarepresented inordertodemonstratethefeasibilityandperformanceoftheproposedcontrolstrategy。
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引用次数: 2
Optimal operation of a process by integrating dynamic economic optimization and model predictive control formulated with empirical model 将动态经济优化与经验模型建立的模型预测控制相结合,实现过程的优化运行
IF 1.2 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-07-20 DOI: 10.24425/119076
Truong Thanh Tuan, L. Tufa, M. Mutalib, N. Ramli
In advanced control, a control target tracks the set points and tends to achieve optimal operation of a process. Model predictive control (MPC) is used to track the set points. When the set points correspond to an optimum economic trajectory that is sent from an economic layer, the process will be gradually reaching the optimal operation. This study proposes the integration of an economic layer and MPC layer to solve the problem of different time scale and unreachable set points. Both layers require dynamic models that are subject to objective functions. The prediction output of a model is not always asymptotically equal to the measured output of a process. Therefore, Kalman filter is proposed as a state feedback to the two-layer integration. The proposed controller only considers the linear empirical model and the inherent model is identified by system identification, which is assumed to be an ample representation of the process. A depropanizer process case study has been used for demonstration of the proposed technique. The result shows that the proposed controller tends to improve the profit of the process smoothly and continuously, until the process reaches an asymptotically maximum profit point.
在高级控制中,控制目标跟踪设定值并趋向于实现过程的最佳运行。模型预测控制(MPC)用于跟踪设定值。当设定点与经济层发出的最优经济轨迹相对应时,过程将逐渐达到最优运行。本研究提出将经济层与MPC层整合,以解决不同时间尺度和不可达设定值的问题。这两层都需要服从目标函数的动态模型。模型的预测输出并不总是渐近地等于过程的测量输出。因此,提出了卡尔曼滤波作为两层积分的状态反馈。所提出的控制器只考虑线性经验模型,固有模型通过系统辨识来识别,并假定其是过程的充分表征。以脱丙烷工艺为例,对所提出的技术进行了论证。结果表明,所提出的控制器趋向于平稳、连续地提高过程的利润,直到过程达到一个渐近最大利润点。
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引用次数: 0
Multiple Attribute Decision Making method based on intuitionistic Dombi operators and its application in mutual fund evaluation 基于直觉Dombi算子的多属性决策方法及其在共同基金评价中的应用
IF 1.2 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-07-20 DOI: 10.24425/acs.2020.134673
C. Jana
In this paper, a new set of intuitionistic fuzzy aggregation operators have been introduced under the environment of intuitionistic fuzzy sets (IFSs). For this, firstly focused on some existing aggregation operators and then new operational rules known as Dombi operation have been proposed which make the advancement of flexibility behavior with the parameter. Based on Dombi operation laws, some new averaging and geometric aggregation operators namely, intuitionistic fuzzy Dombi weighted averaging, ordered weighted averaging and hybrid weighted averaging operator, classified as IFDWA, IFDOWA and IFDHWA operators respectively and intuitionistic fuzzy Dombi geometric, ordered weighted geometric and hybrid weighted geometric operators, labeled as IFDWG, IFDOWG and IFDHWG operators respectively have been proposed. Further, some properties such as idempotency, boundedness, monotonicity and commutative are investigated. Finally, a multi-attribute decision-making model has been developed for the proposed operators to select the best mutual fund for investment. The execution of the comparative study has been examined with the existing operators in this environment.
在直觉模糊集的环境下,引入了一组新的直觉模糊聚合算子。为此,本文首先对现有的一些聚合算子进行了分析,然后提出了一种新的操作规则,即Dombi操作,该规则通过参数来提升柔性行为。基于Dombi运算规律,提出了直观模糊Dombi加权平均算子、有序加权平均算子和混合加权平均算子,分别归类为IFDWA、IFDOWA和IFDHWA算子,以及直观模糊Dombi几何、有序加权几何和混合加权几何算子,分别归类为IFDWG、IFDOWG和IFDHWG算子。进一步研究了幂等性、有界性、单调性和交换性等性质。最后,建立了一个多属性决策模型,以帮助运营商选择最佳的共同基金进行投资。在这种环境下,与现有的运营商进行了比较研究。
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引用次数: 7
Interval-valued dual hesitant fuzzy prioritized aggregation operators based on Archimedean t-conorm and t-norm and their applications to multi-criteria decision making 基于阿基米德t-符合和t-范数的区间值对偶犹豫模糊优先聚合算子及其在多准则决策中的应用
IF 1.2 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.136887
A. Sarkar
Multi-criteria decision making (MCDM) technique and approach have been a trending topic in decision making and systems engineering to choosing the probable optimal options. The primary purpose of this article is to develop prioritized operators to multi-criteria decision making (MCDM) based on Archimedean t-conorm and t-norms (At-CN&t-Ns) under interval-valued dual hesitant fuzzy (IVDHF) environment. A new score function is defined for finding the rank of alternatives in MCDM problems with IVDHF information based on priority levels of criteria imposed by the decision maker. This paper introduces two aggregation operators: At-CN&t-N-based IVDHF prioritized weighted averaging (AIVDHFPWA), and weighted geometric (AIVDHFPWG) aggregation operators. Some of their desirable properties are also investigated in details. A methodology for prioritization-based MCDM is derived under IVDHF information. An illustrative example concerning MCDM problem about a Chinese university for appointing outstanding oversea teachers to strengthen academic education is considered. The method is also applicable for solving other real-life MCDM problems having IVDHF information.
多准则决策(MCDM)技术和方法已成为决策和系统工程领域的研究热点。本文的主要目的是开发区间值对偶犹豫模糊(IVDHF)环境下基于阿基米德t-符合和t-范数(At-CN&t-Ns)的多准则决策(MCDM)的优先算子。定义了一个新的评分函数,用于根据决策者施加的标准的优先级,在具有IVDHF信息的MCDM问题中查找备选方案的排名。介绍了两种聚合算子:基于at - cn&t - n的IVDHF优先加权平均(AIVDHFPWA)和加权几何(AIVDHFPWG)聚合算子。还详细研究了它们的一些理想性质。基于优先级的MCDM方法是在IVDHF信息下导出的。本文以我国某高校聘用优秀海外教师加强学历教育的MCDM问题为例进行了分析。该方法也适用于解决其他具有IVDHF信息的现实生活中的MCDM问题。
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引用次数: 3
On transformation of conditional, conformant and parallel planning to linear programming 条件规划、一致性规划、并行规划向线性规划的转化
IF 1.2 4区 计算机科学 Q4 AUTOMATION & CONTROL SYSTEMS Pub Date : 2023-07-20 DOI: 10.24425/acs.2021.137423
A. Gałuszka, Eryka Probierz
Classical planning in Artificial Intelligence is a computationally expensive problem of finding a sequence of actions that transforms a given initial state of the problem to a desired goal situation. Lack of information about the initial state leads to conditional and conformant planning that is more difficult than classical one. A parallel plan is the plan in which some actions can be executed in parallel, usually leading to decrease of the plan execution time but increase of the difficulty of finding the plan. This paper is focused on three planning problems which are computationally difficult: conditional, conformant and parallel conformant. To avoid these difficulties a set of transformations to Linear Programming Problem (LPP), illustrated by examples, is proposed. The results show that solving LPP corresponding to the planning problem can be computationally easier than solving the planning problem by exploring the problem state space. The cost is that not always the LPP solution can be interpreted directly as a plan.
人工智能中的经典规划是一个计算成本很高的问题,它需要找到一系列动作,将问题的给定初始状态转换为期望的目标情况。缺乏关于初始状态的信息导致条件规划和一致性规划比经典规划更困难。并行计划是指一些操作可以并行执行的计划,通常会减少计划执行时间,但增加找到计划的难度。本文主要研究了三个计算难度较大的规划问题:条件规划、一致性规划和并行一致性规划。为了避免这些困难,提出了线性规划问题(LPP)的一组变换,并通过实例加以说明。结果表明,求解规划问题对应的LPP比通过探索问题状态空间求解规划问题更容易计算。代价是LPP解决方案并不总是可以直接解释为计划。
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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 Q4 AUTOMATION & CONTROL SYSTEMS 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
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 Q4 AUTOMATION & CONTROL SYSTEMS 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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