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Iterative-recursive estimation of parameters of regression models with resistance to outliers on practical examples 在实际案例中对回归模型参数进行迭代递归估计,以抵御异常值的影响
IF 2.6 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-12 DOI: 10.1049/cth2.12628
Janusz Kozłowski, Zdzisław Kowalczuk

Here, identification of processes and systems in the sense of the least sum of absolute values is taken into consideration. The respective absolute value estimators are recognised as exceptionally insensitive to large measurement faults or other defects in the processed data, whereas the classical least squares procedure appears to be completely impractical for processing the data contaminated with such parasitic distortions. Since the absolute value quality index cannot be minimised analytically, an iterative solution is used to find optimal estimates of the parameters of the underlying regression model. In addition, an approximate recursive estimator is proposed and implemented for on-line evaluation of system parameters. The convergence (basic property) of the iterative estimator is show to be proven and some aspects related to the absolute value criterion are explained. This allows for the formulation of practical conclusions and indication of directions for further research. In addition, the effectiveness of the described iterative-recursive estimation procedures is practically verified by appropriate numerical experiments.

在这里,我们考虑的是在绝对值最小和的意义上识别过程和系统。人们认为,相应的绝对值估算器对大的测量故障或处理数据中的其他缺陷特别不敏感,而经典的最小二乘法程序似乎对处理受此类寄生失真污染的数据完全不切实际。由于绝对值质量指标无法通过分析最小化,因此采用了迭代法来寻找基本回归模型参数的最佳估计值。此外,还提出并实施了一种近似递归估计器,用于在线评估系统参数。证明了迭代估计器的收敛性(基本属性),并解释了与绝对值标准相关的一些方面。这样就可以得出实用的结论,并指明进一步研究的方向。此外,还通过适当的数值实验实际验证了所述迭代递推估计程序的有效性。
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引用次数: 0
Partial information target defense game in the presence of a line segment obstacle 存在线段障碍物时的部分信息目标防御博弈
IF 2.2 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-12 DOI: 10.1049/cth2.12664
Jingwen Xu, Qiyong He, Min Meng, Xiuxian Li, Jiaqi Yan

A two-player planar target defense game where the intruder attempts to breach the circular region guarded by the defender in the presence of a fixed line segment obstacle is addressed. Based on prior research, the entire game was divided into three phases to address the partial information problem. Additionally, the impact of obstacles on the game outcome is thoroughly analyzed. In contrast to the scenario without obstacles, this paper presents redesigned strategies for both defender and intruder, accompanied by quantitative results illustrating the influence on the winning probability. Finally, illustrative examples are given to demonstrate the effect of the obstacle.

研究了一种双人平面目标防御博弈,入侵者试图在存在固定线段障碍物的情况下突破防御者守卫的圆形区域。根据先前的研究,整个博弈被分为三个阶段,以解决部分信息问题。此外,还深入分析了障碍物对博弈结果的影响。与没有障碍物的情况相比,本文重新设计了防御方和入侵方的策略,并用定量结果说明了对获胜概率的影响。最后,本文举例说明了障碍物的影响。
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引用次数: 0
Improved input-to-state stability criteria for time-varying switched singular systems 改进时变开关奇异系统的输入到状态稳定性准则
IF 2.2 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-11 DOI: 10.1049/cth2.12669
Junjie Lu, Yongqi Li, Shijie Wang, Zhikun She

This paper is dedicated to proposing improved input-to-state stability (ISS) criteria for a class of continuous-time time-varying switched singular systems (CTSSS) under slow/fast/slow-fast switching signals. Specifically, for a CTSSS with time-varying singular matrices, the authors start with an improved sufficient condition for verifying its ISS under slow switching signals based on the average dwell time method and a relaxed multiple Lyapunov function. Then, considering several or all subsystems may destroy the overall ISS, relaxed sufficient conditions are presented to ensure the ISS of the CTSSS under fast switching signals and slow-fast switching signals, respectively. Note that the improvement of the proposed ISS criteria is embodied in the derivative of the required multiple Lyapunov functions along with the state trajectories of CTSSS can be positive or negative. Finally, three numerical examples are provided to illustrate the feasibility of the obtained results.

本文致力于为一类连续时间时变切换奇异系统(CTSSS)在慢/快/慢切换信号下提出改进的输入到状态稳定性(ISS)标准。具体来说,对于具有时变奇异矩阵的 CTSSS,作者首先基于平均停留时间法和松弛的多重 Lyapunov 函数,提出了验证其在慢速开关信号下 ISS 的改进充分条件。然后,考虑到几个或所有子系统都可能破坏整体 ISS,提出了松弛充分条件,分别确保 CTSSS 在快速开关信号和慢-快开关信号下的 ISS。需要注意的是,所提出的 ISS 准则的改进体现在所需的多个 Lyapunov 函数的导数与 CTSSS 的状态轨迹可以是正的,也可以是负的。最后,我们提供了三个数值示例来说明所获结果的可行性。
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引用次数: 0
A model-based failure times identification for a system governed by a 2D parabolic partial differential equation 基于模型的二维抛物线偏微分方程系统失效时间识别
IF 2.6 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-11 DOI: 10.1049/cth2.12652
Mohamed Salim Bidou, Laetitia Perez, Sylvain Verron, Laurent Autrique

This research focuses on the identification of failure times in thermal systems governed by partial differential equations, a task known for its complexity. A new model-based diagnostic approach is presented that aims to accurately identify failing heat sources and accurately determine their failure times, which is crucial when multiple heat sources fail and there is a delay in detection by distant sensors. To validate the effectiveness of the approach, a comparative analysis is carried out with an established method based on a Bayesian filter, the Kalman filter. The aim is to provide a comprehensive analysis, highlighting the advantages and potential limitations of the methodology. In addition, a Monte Carlo simulation is implemented to assess the impact of sensor measurements on the performance of this new approach.

这项研究的重点是识别由偏微分方程控制的热力系统的故障时间,这是一项以复杂著称的任务。本文提出了一种新的基于模型的诊断方法,旨在准确识别故障热源并精确确定其故障时间,这在多个热源发生故障且远距离传感器检测延迟的情况下至关重要。为了验证该方法的有效性,我们将其与基于贝叶斯滤波器(卡尔曼滤波器)的成熟方法进行了比较分析。目的是提供全面的分析,突出该方法的优势和潜在局限性。此外,还进行了蒙特卡罗模拟,以评估传感器测量对这种新方法性能的影响。
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引用次数: 0
Intention inference-based interacting multiple model estimator in photoelectric tracking 光电跟踪中基于意向推理的交互式多模型估计器
IF 2.6 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-09 DOI: 10.1049/cth2.12657
Minxing Sun, Huabo Liu, Qianwen Duan, Junzhe Wang, Yao Mao, Qiliang Bao

Aiming to improve the estimation and prediction accuracy of a target's position, this paper proposes a state estimation method for photoelectric tracking systems, based on the evaluation of the tracked target's motion intention. Traditional photoelectric tracking systems utilize external physical quantities such as the position, velocity, and acceleration of the target as the estimated states. While this method can output good results for pre-modelled target positions, it struggles to maintain the accuracy when facing manoeuvering targets or complex motion patterns targets. Here, the relevant parameters of the tracked target's motion intention are directly estimated innovatively, like estimating the circling point position rather than the circular flying target's position and velocity. This approach enables recognizing the target's motion intention and leads to precise estimation, which specifically consists of an interacting multiple model approach, multiple unscented Kalman estimators, and a robust estimator. The effectiveness and stability of this estimator are validated through software simulations and experiments on a dual-reflection mirror platform.

为了提高目标位置的估计和预测精度,本文提出了一种基于被跟踪目标运动意图评估的光电跟踪系统状态估计方法。传统的光电跟踪系统利用目标的位置、速度和加速度等外部物理量作为估计状态。虽然这种方法可以为预先建模的目标位置提供良好的结果,但在面对机动目标或运动模式复杂的目标时,很难保持精确度。在这里,创新性地直接估算了被跟踪目标运动意图的相关参数,如估算盘旋点位置而非环形飞行目标的位置和速度。这种方法能够识别目标的运动意图并进行精确估计,具体包括交互式多模型方法、多个无特征卡尔曼估计器和一个鲁棒估计器。通过软件模拟和双反射镜平台上的实验,验证了该估计器的有效性和稳定性。
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引用次数: 0
Minimal operation region prediction for networked control robotic manipulators subject to time-varying delays and disturbances 受时变延迟和干扰影响的网络控制机器人机械手的最小运行区域预测
IF 2.6 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-09 DOI: 10.1049/cth2.12650
Van Thanh Huynh, Chee Peng Lim, Zoran Najdovski, Dinh Cong Huong, Hieu Trinh

Due to the disturbances and varying latency, a teleoperated robotic manipulator might not comply with the master control commands. Although prior studies on minimising the impact of network latency and disturbances on teleoperated robots were conducted, there has been very little research on the prediction of minimal operation regions of robotic arms, especially in the worst-case scenarios when the disturbances and time delays still prevail even after impact minimisation. This study investigates the problem and proposes a novel solution to predicting minimal operation regions of networked control robotic manipulators. The proposed method can be used to forecast safe operation regions in which the manipulators will certainly enter and exclude regions that the robots will never penetrate. Leveraging on a Lyanonov Krasovskii criterion, the method performs region prediction by establishing minimal reachable bounding sets of the nonlinear, perturbed robotic arm's state vectors guided via a time-varying delay-dominant network. Though predominantly nonlinear, the entire prediction process is formulated as a tractable Linear Matrix Inequality (LMI) optimisation problem, which can be solved efficiently and effectively. Efficacy of the proposed method is validated with simulations where a simulated robotic arm is distorted with time-varying delays and disturbances.

由于干扰和不同的延迟,远距离操作机器人机械手可能无法遵从主控指令。虽然之前已有研究将网络延迟和干扰对远距离操作机器人的影响降至最低,但关于预测机械臂最小操作区域的研究却很少,尤其是在最坏情况下,即使影响降至最低,干扰和时间延迟仍然普遍存在。本研究对这一问题进行了研究,并提出了一种预测网络控制机器人机械手最小运行区域的新型解决方案。所提出的方法可用于预测机械手一定会进入的安全操作区域,并排除机械手永远不会进入的区域。利用 Lyanonov Krasovskii 准则,该方法通过时变延迟主导网络引导的非线性扰动机械臂状态向量建立最小可达边界集,从而进行区域预测。虽然主要是非线性的,但整个预测过程被表述为一个可控的线性矩阵不等式(LMI)优化问题,可以高效、有效地解决。我们通过模拟仿真验证了所提方法的有效性,即仿真机械臂在时变延迟和干扰的作用下发生扭曲。
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引用次数: 0
Multiple adaptive factors based interacting multiple model estimator 基于交互式多重模型估算器的多重自适应因子
IF 2.6 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-09 DOI: 10.1049/cth2.12645
Minxing Sun, Qianwen Duan, Wanrun Xia, Qiliang Bao, Yao Mao

In the field of optoelectronic tracking, precisely modeling the motion equations of the tracked target is often challenging, and in some cases, they may even be entirely unknown. This necessitates the use of a robust state estimator for accurate state estimation. Additionally, atmospheric turbulence, variations in illumination, and intricate observation backgrounds may introduce a significant increase in observation noise for the tracked target. To address these challenges, one approach is to introduce adaptive factors, such as the Mahalanobis method, into the robust state estimator to enhance estimation accuracy. However, further exploration has revealed that adaptive factors designed using different methods offer unique advantages in scenarios with varying levels of noise amplification. In this paper, different adaptive factors are further combined using an interacting multiple model approach, allowing the designed state estimator to exhibit stronger adaptability to noise amplification. The stability and effectiveness of this algorithm are validated through program simulations, double reflection mirror experiment, and drone trace prediction, demonstrating its applicability and reliability in diverse scenarios.

在光电跟踪领域,精确建模被跟踪目标的运动方程往往具有挑战性,在某些情况下,这些方程甚至可能完全未知。这就需要使用稳健的状态估计器来进行精确的状态估计。此外,大气湍流、光照变化和错综复杂的观测背景可能会显著增加被跟踪目标的观测噪声。为应对这些挑战,一种方法是在稳健状态估计器中引入自适应因子,如 Mahalanobis 方法,以提高估计精度。然而,进一步的探索发现,采用不同方法设计的自适应因子在噪声放大程度不同的情况下具有独特的优势。本文采用交互多模型方法进一步组合不同的自适应因子,使设计的状态估计器对噪声放大表现出更强的适应性。通过程序模拟、双反射镜实验和无人机轨迹预测,验证了该算法的稳定性和有效性,证明了其在不同场景下的适用性和可靠性。
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引用次数: 0
Robust T-S fuzzy-model-based nonfragile sampled-data control for cyber-physical systems with stochastic delay and cyber-attacks 针对具有随机延迟和网络攻击的网络物理系统的基于 T-S 模糊模型的鲁棒性非脆弱采样数据控制
IF 2.2 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-09 DOI: 10.1049/cth2.12651
Srinivasan Arunagirinathan, Tae H. Lee

This work addresses the nonfragile sampled-data control (SDC) of the Takagi-Sugeno (T-S) fuzzy model for cyber-physical systems (CPSs) subject to cyber-attacks (CAs). The sets of random variables satisfying the Bernoulli distribution are utilized to depict the probability of the data transmitted by the network being subjected to stochastic delay and CAs. Then, the information for the entire sampling interval tk$t_k$ to tk+1$t_{k+1}$ with a relation of the augmented state vectors is considered for designing the SDC of the T-S fuzzy systems (TSFSs). In this regard, the fractional delayed state looped functional (LF) approach is presented to handle the formulated Lyapunov-Krasovskii functional. Based on the LF method, new criteria are acquired to design SDC such that the proposed CPS is asymptotically stable in terms of linear matrix inequalities. It is worth noting that the proposed control strategy for the TSFSs guarantees stable performance while dealing with the attacks in the numerical section. Also, for the various attacking strengths of periodic and non-periodic nature, the TSFSs have been simulated to show the efficiency of the proposed control method. Additionally, three numerical models have been performed to validate the less conservatism and superiority of the derived results over the existing ones.

本研究针对受网络攻击(CAs)影响的网络物理系统(CPSs),研究了高木-菅野(T-S)模糊模型的非脆弱采样数据控制(SDC)。利用满足伯努利分布的随机变量集来描述网络传输的数据受到随机延迟和网络攻击的概率。然后,在设计 T-S 模糊系统(TSFS)的 SDC 时,考虑了整个采样间隔的信息与增强状态向量的关系。在这方面,提出了分数延迟状态循环函数(LF)方法来处理所制定的 Lyapunov-Krasovskii 函数。基于 LF 方法,获得了设计 SDC 的新标准,从而使提出的 CPS 在线性矩阵不等式方面渐近稳定。值得注意的是,针对 TSFSs 提出的控制策略在处理数值部分的攻击时保证了性能稳定。同时,针对周期性和非周期性的各种攻击强度,对 TSFS 进行了仿真,以显示所提控制方法的效率。此外,还进行了三个数值模型验证,得出的结果与现有结果相比具有较低的保守性和优越性。
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引用次数: 0
Modeling and optimization of networked evolutionary game based on incomplete information with switched topologies 基于交换拓扑结构的不完全信息的网络演化博弈建模与优化
IF 2.6 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-09 DOI: 10.1049/cth2.12643
Yalin Gui, Lixin Gao, Zhitao Li

In the realm of evolutionary game theory, the majority of scenarios involve players with incomplete knowledge, specially regarding their opponents' actions and payoffs compounded by the ever-shifting landscape of players' interactions. These dynamics present formidable challenges in both the analysis and optimization of game evolution. To address this, a novel model named the networked evolutionary game (NEG) is proposed based on incomplete information with switched topologies. This model captures situations where players possess limited insight into their opponents' benefits, yet make decisions based on their own payoffs while adapting to different networks and new players. To bridge the gap between incomplete and complete information games, R. Selten's transformation method is leveraged, a renowned approach that converts an incomplete information game into an interim agent game, thereby establishing the equivalence of pure Nash equilibria (NE) in both scenarios. Employing the semi-tensor product (STP) of matrices, a powerful tool in logistic system, the evolution of the model is articulated through algebraic relationships. This enables to unravel the patterns of game evolution and identify the corresponding pure Nash equilibria. By introducing control players, strategically positioned within the game, optimized control is facilitated over the evolutionary trajectory, ultimately leading to convergence towards an optimal outcome. Finally, these concepts are illustrated with a practical example within the paper.

在演化博弈论领域,大多数情况下,博弈者都不完全了解对手的行动和回报,而且博弈者之间的互动也在不断变化。这些动态变化给博弈演化的分析和优化带来了巨大挑战。为了解决这个问题,我们提出了一种基于不完全信息和切换拓扑的新型网络演化博弈(NEG)模型。该模型捕捉了这样一种情况:博弈者对对手收益的洞察力有限,但在适应不同网络和新博弈者的同时,根据自己的收益做出决策。为了缩小不完全信息博弈和完全信息博弈之间的差距,我们采用了 R. Selten 的转换方法,这种著名的方法可以将不完全信息博弈转换为临时代理博弈,从而在两种情况下建立纯纳什均衡(NE)的等价性。利用矩阵的半张量积(STP)这一逻辑系统中的有力工具,模型的演变通过代数关系得以阐明。这样就能揭示博弈演化的模式,并找出相应的纯纳什均衡点。通过引入在博弈中处于战略位置的控制者,可以促进对演化轨迹的优化控制,最终导致向最优结果的收敛。最后,本文将通过一个实际案例来说明这些概念。
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引用次数: 0
Practical fixed-time composite-learning control for full-state constraint strict-feedback non-linear systems: A dynamic regressor extension and mixing based approach 全状态约束严格反馈非线性系统的实用固定时间复合学习控制:基于动态回归器扩展和混合的方法
IF 2.2 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-04-09 DOI: 10.1049/cth2.12662
Man Cui, Zhonghua Wu

A practical fixed-time composite learning control scheme, by combining dynamic regressor extension and mixing (DREM) parameter identification algorithm and adaptive dynamic surface control (DSC) technique, is proposed for a class of strict-feedback non-linear systems subjected to linear-in-parameters uncertainties and full-state constraint. To address the problem of state constraint, a non-linear transformation function is introduced to convert the originally constrained non-linear system into an unconstrained one. Meanwhile, the hyperbolic tangent function is employed to avoid singularity issues that often appeared in the traditional fixed-time (FXT) control designs. In order to relax the requirement of persistency of excitation condition, a modified FXT-DREM parameter identification approach with an interval excitation condition is constructed by introducing a three-layer transformation technique derived from the classical DREM algorithm. Then, the modified FXT-DREM parameter identification algorithm is seamlessly integrated into the adaptive DSC framework, resulting in a composite-learning control scheme. By employing Lyapunov stability analysis, the fixed-time convergence of both the parameter estimation error and the trajectory tracking error is proved. Finally, the effectiveness of the proposed design is demonstrated through simulation test.

通过将动态回归器扩展和混合(DREM)参数识别算法与自适应动态表面控制(DSC)技术相结合,针对一类受参数线性不确定性和全状态约束的严格反馈非线性系统,提出了一种实用的固定时间复合学习控制方案。为解决状态约束问题,引入了一个非线性变换函数,将原本受约束的非线性系统转换为无约束系统。同时,采用双曲正切函数避免了传统固定时间(FXT)控制设计中经常出现的奇异性问题。为了放宽对激励条件持续性的要求,通过引入源自经典 DREM 算法的三层变换技术,构建了一种具有区间激励条件的改进型 FXT-DREM 参数识别方法。然后,将改进的 FXT-DREM 参数识别算法无缝集成到自适应 DSC 框架中,形成一种复合学习控制方案。通过利用 Lyapunov 稳定性分析,证明了参数估计误差和轨迹跟踪误差的固定时间收敛性。最后,通过仿真测试证明了所提设计方案的有效性。
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引用次数: 0
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IET Control Theory and Applications
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