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Stabilization of Stochastic Functional Systems via PI-Type Controls 基于pi型控制的随机泛函系统镇定
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-24 DOI: 10.1109/LCSYS.2025.3625473
Xiaofeng Zong;Xuping Hou;Fuke Wu;Xuerong Mao
Motivated by the proportional integral (PI) control theory of deterministic systems, this letter aims to establish the PI-type control theory for stochastic systems, including the standard PI control and the proportional fragment-integral (PFI) control. For the standard PI control of stochastic functional systems (SFSs), the mean square and almost sure stabilization criteria are investigated, and then the explicit design of the proportional gain and the integral gain is obtained. It is revealed that the proportional gain matrix can be firstly designed and then the negative definite integral gain matrix can be determined based on the design of the proportional gain matrix. For the PFI control, the joint design of the proportional gain and the fragment-integral gain is proposed. It is shown that the fragment integral can work positively for the stabilization. Finally, the numerical methods are also proposed to approximate the two-type closed-loop SFSs and the simulation examples are given to confirm the theoretical results.
受确定性系统的比例积分(PI)控制理论的启发,本文旨在建立随机系统的PI型控制理论,包括标准PI控制和比例片段积分(PFI)控制。针对随机泛函系统(sfs)的标准PI控制,研究了均方镇定准则和概定镇定准则,并给出了比例增益和积分增益的显式设计。首先设计出比例增益矩阵,然后根据比例增益矩阵的设计确定负定积分增益矩阵。对于PFI控制,提出了比例增益和片段积分增益的联合设计。结果表明,破片积分对稳定性有积极的作用。最后,提出了近似两型闭环稳态系统的数值方法,并给出了仿真算例来验证理论结果。
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引用次数: 0
Set-to-Set Iterative Learning Control for Non-Repetitive Disturbances 非重复扰动的集对集迭代学习控制
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-22 DOI: 10.1109/LCSYS.2025.3624185
Reid D. Smith;Andrew G. Alleyne
Iterative learning control (ILC) methods which track sets rather than a reference throughout an iteration, namely region-to-region (RTR) ILC and set-to-set (STS) ILC, have assumed that external disturbances are purely repetitive. However, in real-world applications, non-repetitive disturbances will likely be present, both on the state and output channels of the plant. These non-repetitive disturbances lead to challenges in ensuring that the sets for tracking will be achieved throughout each iteration. While STS ILC has been shown to outperform RTR ILC for purely repetitive disturbances, this letter develops a novel STS ILC architecture which incorporates feedback control and tightening of the sets to ensure that the sets are achieved despite the unknown, non-repetitive disturbances. A conservative bound for the necessary tightening of the sets is derived and a simulation-based case study demonstrates the novel STS ILC’s ability to achieve the sets while outperforming alternative ILC approaches.
迭代学习控制(ILC)方法在整个迭代过程中跟踪集合而不是参考,即区域到区域(RTR) ILC和集合到集合(STS) ILC,假设外部干扰是纯粹重复的。然而,在现实世界的应用中,可能会出现非重复的干扰,无论是在设备的状态还是输出通道上。这些非重复的干扰导致了在确保跟踪集在每次迭代中都能实现的挑战。虽然STS ILC已被证明在纯重复干扰下优于RTR ILC,但本文开发了一种新的STS ILC架构,该架构包含反馈控制和集合收紧,以确保在未知的非重复干扰下实现集合。导出了集合必要收紧的保守界,并基于仿真的案例研究证明了新型STS ILC在优于其他ILC方法的同时实现集合的能力。
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引用次数: 0
An Affine Transformation Method to Privacy-Preserving Consensus for Multi-Agent Systems 多智能体系统隐私保护一致性的仿射变换方法
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-22 DOI: 10.1109/LCSYS.2025.3624329
Tu Zhang;Guobao Zhang;Amr Alanwar;Yongming Huang
This letter investigates the privacy-preserving consensus for multi-agent systems under affine transformation. To avoid privacy exposure, the true system state is reformulated into a new auxiliary state by adopting an affine transformation. By employing the consensus compensator under the analysis framework of output consensus, the original privacy-preserving consensus of homogeneous multi-agent systems (MASs) is reformulated into the equivalent non-privacy-preserving output consensus of heterogeneous MASs. Resorting to the Lyapunov function method, the design parameters are obtained such that the exact consensus value, instead of mean-square consensus, is achieved over both finite and infinite time domains. A simulation is utilized to validate the supplied method.
本文研究了仿射变换下多智能体系统的隐私保护共识问题。为了避免隐私暴露,采用仿射变换将系统的真实状态重新表述为新的辅助状态。利用输出共识分析框架下的共识补偿器,将同构多智能体系统(MASs)的原始隐私保护共识重新表述为异构多智能体系统(MASs)的等效非隐私保护输出共识。采用李雅普诺夫函数法,在有限和无限时域上获得精确的一致值,而不是均方一致值。通过仿真验证了所提方法的有效性。
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引用次数: 0
Enforcing Opacity in Discrete Event Systems via Delayed Observations 通过延迟观测来增强离散事件系统的不透明性
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-20 DOI: 10.1109/LCSYS.2025.3623658
Jiwei Wang;Simone Baldi;Wenwu Yu;Xiang Yin
Artificially introducing a delay in the observations of a system can be an effective mechanism to mask the system itself, with the goal to increase its opacity and thus its security. This letter investigates opacity in discrete event systems with delayed observations. We focus on two questions: how to verify opacity under delayed observations, and how to synthesize sensor activation policies that guarantee opacity under such delayed conditions. To address these questions, we first introduce the definition of opacity under delayed observation and develop a corresponding verification method. We then extend such analysis tool into a synthesis tool by proposing an optimization approach for designing sensor activation policies guaranteeing opacity under delayed observations. An example is used to illustrate the analysis and synthesis procedures.
人为地在系统的观察中引入延迟可能是一种有效的机制,以掩盖系统本身,其目标是增加其不透明性,从而提高其安全性。本文研究具有延迟观测的离散事件系统中的不透明性。我们关注两个问题:如何验证延迟观测下的不透明度,以及如何合成在这种延迟条件下保证不透明度的传感器激活策略。为了解决这些问题,我们首先介绍了延迟观测下不透明度的定义,并开发了相应的验证方法。然后,我们提出了一种优化方法来设计传感器激活策略,以保证延迟观测下的不透明度,从而将这种分析工具扩展为综合工具。用实例说明了分析和综合的过程。
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引用次数: 0
Safe Time-Varying Nonlinear Programming With Equality Constraints 具有等式约束的安全时变非线性规划
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-20 DOI: 10.1109/LCSYS.2025.3623660
Karthik Shenoy;Arun D. Mahindrakar;Umesh Vaidya
This letter focuses on a safety-critical solution to equality-constrained nonlinear programming, where the cost and the constraints vary continuously over time. To address this problem, we propose a continuous-time dynamical system with a quadratic-program (QP)-based feedback. The control barrier equality is treated as the hard constraint in the QP to enforce safety, and the control Lyapunov inequality is treated as the soft constraint for tracking the non-stationary minimizer. We show that the tracking error dynamics is locally uniformly ultimately bounded, and we establish uniform exponential stability in the presence of feedforward prediction. As an application, we solve the time-varying Procrustes problem, which is a time-varying optimization problem on an embedded submanifold of the Euclidean space.
本文重点讨论了等式约束非线性规划的安全关键解决方案,该方案的成本和约束条件随时间不断变化。为了解决这个问题,我们提出了一个基于二次规划(QP)反馈的连续时间动力系统。在QP中,将控制障碍等式作为强制安全性的硬约束,将控制李雅普诺夫不等式作为跟踪非平稳极小器的软约束。我们证明了跟踪误差动力学是局部一致最终有界的,并且在前馈预测存在的情况下建立了一致指数稳定性。作为应用,我们解决了时变Procrustes问题,这是一个在欧几里得空间内嵌子流形上的时变优化问题。
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引用次数: 0
Control-Affine Schrödinger Bridge and Generalized Bohm Potential 控制仿射Schrödinger桥与广义玻姆势
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-20 DOI: 10.1109/LCSYS.2025.3623945
Alexis M. H. Teter;Abhishek Halder;Michael D. Schneider;Alexx S. Perloff;Jane Pratt;Conor M. Artman;Maria Demireva
From a stochastic control perspective, the Schrödinger bridge is a density-valued continuous curve parameterized by time that connects a given pair of initial and terminal probability densities via minimum effort controlled Brownian motion. The control-affine Schrödinger bridge extends this idea to a generic control-affine Itô diffusion, possibly with an additive state cost. In this letter, we recast the necessary conditions of optimality for the control-affine Schrödinger bridge problem as a two point boundary value problem for a quantum mechanical Schrödinger PDE with complex potential. This complex-valued potential is a generalization of the real-valued Bohm potential in quantum mechanics. Our derived potential is akin to the optical potential in nuclear physics where the real part of the potential encodes elastic scattering (transmission of wave function), and the imaginary part encodes inelastic scattering (absorption of wave function). The key takeaway is that the process noise that drives the evolution of probability densities induces an absorbing medium in the evolution of wave function. These results make new connections between control theory and non-equilibrium statistical mechanics through the lens of quantum mechanics.
从随机控制的角度来看,Schrödinger桥是一条由时间参数化的密度值连续曲线,它通过最小努力控制的布朗运动连接给定的一对初始和终端概率密度。控制仿射Schrödinger桥将这个想法扩展到一般的控制仿射Itô扩散,可能带有附加的状态代价。在这封信中,我们将控制仿射Schrödinger桥问题的最优性的必要条件重新定义为具有复杂势的量子力学Schrödinger PDE的两点边值问题。这种复值势是量子力学中实值玻姆势的推广。我们的推导势类似于核物理中的光势,其中势的实部编码弹性散射(波函数的传输),虚部编码非弹性散射(波函数的吸收)。关键的结论是,驱动概率密度演化的过程噪声在波函数演化中诱导了吸收介质。这些结果通过量子力学的视角在控制理论和非平衡统计力学之间建立了新的联系。
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引用次数: 0
Air-Based Passive Localization for a Moving Source Using Hybrid AOA–TDOA 基于混合AOA-TDOA的空基运动源被动定位
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-20 DOI: 10.1109/LCSYS.2025.3623948
Jianwu Tao;Shiru Guo;Wenchao Ji
This letter focuses on estimating the position and velocity of a moving source in 3 dimension (3D) space, using hybrid angle of arrival (AOA) and time difference of arrival (TDOA) measurements observed by a single moving receiver. In order to characterize the motion of the relative range between source and receiver, the components of the relative velocity and acceleration are firstly represented in a spherical coordinate frame. Then, the relations between these components and AOA measurements are modeled together with the relations between the source localization and TDOA measurements. This unified model can be reformulated as a constrained least squares (LS) problem and a closed-form solution can be obtained by using the squared range difference LS (SRD-LS). Finally, the Cramer-Rao Bound (CRB) is derived for unified model. Numerical simulations show the validity of the proposed method.
本文的重点是利用单个移动接收器观测到的混合到达角(AOA)和到达时间差(TDOA)测量来估计三维(3D)空间中移动源的位置和速度。为了表征源和接收机之间相对距离的运动,首先在球坐标系中表示相对速度和加速度分量。然后,对这些分量与AOA测量之间的关系以及源定位与TDOA测量之间的关系进行建模。该统一模型可重新表述为约束最小二乘问题,并利用平方差最小二乘(SRD-LS)得到封闭解。最后,导出了统一模型的Cramer-Rao界(CRB)。数值仿真结果表明了该方法的有效性。
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引用次数: 0
A Degree of Flowability for Virtual Flow Fields 虚拟流场的流动度
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-20 DOI: 10.1109/LCSYS.2025.3623632
Shuhan Huang;Wenqi Song;Quan Quan
This letter proposes a new notion of virtual flow field and a measure of its quality. Unlike velocity fields for robotic swarm control, the virtual flow field here is described by several functions of space and time. It represents the variation of the properties of the robotic swarm, such as velocity and density. With the development of swarm control technology, there is an emerging demand to evaluate the quality of the virtual flow field and support the path planning of the robotic swarm accordingly. For such a purpose, this letter adopts a notion of the degree of flowability (DOF) for the virtual flow fields, which is relevant to the density of the swarm and the external energy input for the robots to pass through the field. Then, one method for calculating the DOF for the virtual flow field is proposed with simple examples for feasibility analysis. Calculations and simulations of three different virtual flow fields are performed to demonstrate the feasibility of the method.
本文提出了虚拟流场的新概念及其质量度量。与机器人群控制的速度场不同,这里的虚拟流场是由几个空间和时间函数来描述的。它代表了机器人群体的特性,如速度和密度的变化。随着群体控制技术的发展,需要对虚拟流场质量进行评估,从而为机器人群体的路径规划提供支持。为此,本文采用了虚拟流场的流动度(degree of flowability, DOF)的概念,该概念与蜂群的密度和机器人通过流场所需的外部能量输入有关。然后,提出了一种计算虚拟流场自由度的方法,并给出了简单的算例进行可行性分析。对三种不同的虚拟流场进行了计算和仿真,验证了该方法的可行性。
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引用次数: 0
Optimal Competitive Strategies: Pricing and Advertising in Dynamic Market Segments 最优竞争策略:动态细分市场中的定价与广告
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-17 DOI: 10.1109/LCSYS.2025.3622665
Mingda Yue;Shuting Le;Yuhu Wu;Xun Shen
This letter investigates a duopolistic market where firms compete through both pricing and advertising strategies. Due to customer attrition and the effects of advertising, each firm’s loyal customer segment evolves dynamically. This leads to a dynamic market segment competition in which firms aim to maximize profits through optimal strategies. Our analysis of the one-stage game reveals at most two Nash equilibria. Notably, even with symmetric initial positions, firms adopt asymmetric strategies in equilibrium: one employs greater advertising intensity and higher pricing to secure more profits. In the two-stage game, our analysis shows that firms optimally increase first-stage advertising to sustain larger loyal segments, thereby boosting subsequent profits. These findings have important implications for multi-stage competition.
这封信调查了一个双寡头市场,公司通过定价和广告策略进行竞争。由于顾客流失和广告的影响,每个公司的忠实顾客群体是动态发展的。这导致了动态的细分市场竞争,企业的目标是通过最优策略实现利润最大化。我们对单阶段博弈的分析揭示了最多两个纳什均衡。值得注意的是,即使初始位置是对称的,企业在均衡状态下也会采用不对称策略:一个企业采用更大的广告强度和更高的定价来获得更多的利润。在两阶段博弈中,我们的分析表明,企业最优地增加第一阶段的广告,以维持更大的忠诚群体,从而提高后续的利润。这些发现对多阶段竞争具有重要意义。
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引用次数: 0
Efficient Streaming Dynamic Mode Decomposition 高效流动态模式分解
IF 2 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-10-15 DOI: 10.1109/LCSYS.2025.3622516
Aditya Kale;Marcos Netto;Xinyang Zhou
We propose a reformulation of the streaming dynamic mode decomposition method that requires maintaining a single orthonormal basis, thereby reducing computational redundancy. The proposed efficient streaming dynamic mode decomposition method results in a constant-factor reduction in computational complexity and memory storage requirements. Numerical experiments on representative canonical dynamical systems show that the enhanced computational efficiency does not compromise the accuracy of the proposed method.
我们提出了一种流动态模式分解方法的重新表述,该方法需要保持单个标准正交基,从而减少了计算冗余。所提出的高效流动态模式分解方法在计算复杂度和内存存储需求上有恒定的降低。对典型动力系统的数值实验表明,计算效率的提高并不影响该方法的精度。
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引用次数: 0
期刊
IEEE Control Systems Letters
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