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Aggregative Game Analysis for Energy Consumption of Multizone HVAC Systems 多区域暖通空调系统能耗的综合博弈分析
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-04-08 DOI: 10.1109/TCNS.2025.3558779
Xiongnan He;Zongli Lin;Qing Chang
In this article, we study the distributed Nash equilibrium seeking problem for energy consumption of multizone heating, ventilation, and air conditioning (HVAC) systems. Beyond considering the aggregation of users' strategies in energy costs, we incorporate comfort levels into the cost function, enhancing its applicability to reflect users' comprehensive demands. In addition, this study considers the energy consumption of an HVAC system that is governed by the regulated indoor temperatures within its zones and addresses the dynamics of the temperatures, presenting a noncooperative Nash game involving players with dynamic models in the context of a multizone HVAC systems connected by a strongly connected communication network. The dynamics of the indoor temperature in each zone is affected by the outside environment, the external thermal disturbance, and the temperatures in its neighboring zones. The disturbances we consider are general bounded disturbances with unknown bounds. Furthermore, we also consider temperature constraints in individual zones to accommodate the requirements of the HVAC users. Consequently, the distributed estimator approach, the adaptive control method, and the projected gradient-based technique are integrated to address all these considerations. Both full and partial information cases are studied, and the resulting algorithms are illustrated on a numerical example of an energy consumption game.
本文研究了多区域暖通空调系统能耗的分布式纳什均衡寻求问题。除了考虑用户能源成本策略的聚合外,我们还将舒适度纳入成本函数,增强了其适用性,以反映用户的综合需求。此外,本研究考虑了受区域内室内温度控制的暖通空调系统的能源消耗,并解决了温度的动态问题,提出了一个非合作纳什博弈,涉及由强连接通信网络连接的多区域暖通空调系统中具有动态模型的参与者。每个区域的室内温度动态受外部环境、外部热扰动及其邻近区域温度的影响。我们考虑的扰动是具有未知界的一般有界扰动。此外,我们还考虑了各个区域的温度限制,以适应HVAC用户的要求。因此,将分布式估计器方法、自适应控制方法和基于投影梯度的技术相结合,以解决所有这些问题。研究了完全信息和部分信息两种情况,并通过一个能量消耗博弈的数值算例说明了所得到的算法。
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引用次数: 0
Power System State Estimation by Phase Synchronization and Eigenvectors 基于相位同步和特征向量的电力系统状态估计
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-04-08 DOI: 10.1109/TCNS.2025.3558802
Iven Guzel;Richard Y. Zhang
To estimate accurate voltage phasors from inaccurate voltage magnitude and complex power measurements, the standard approach is to iteratively refine a good initial guess using the Gauss–Newton method. However, the nonconvexity of the estimation makes the Gauss–Newton method sensitive to its initial guess, so human intervention is needed to detect convergence to plausible but ultimately spurious estimates. This article makes a novel connection between the angle estimation subproblem and phase synchronization to yield two key benefits: first, an exceptionally high-quality initial guess over the angles, known as a spectral initialization, and second, a correctness guarantee for the estimated angles, known as a global optimality certificate. These are formulated as sparse eigenvalue–eigenvector problems, which we efficiently compute in time comparable to a few Gauss–Newton iterations. Our experiments on the complete set of Polish, PEGASE, and RTE models show, where voltage magnitudes are already reasonably accurate, that spectral initialization provides an almost-perfect single-shot estimation of $n$ angles from $2n$ moderately noisy bus power measurements (i.e., $n$ pairs of PQ measurements), whose correctness becomes guaranteed after a single Gauss–Newton iteration. For less-accurate voltage magnitudes, the performance of the method degrades gracefully; even with moderate voltage magnitude errors, the estimated voltage angles remain surprisingly accurate.
为了从不准确的电压幅值和复杂的功率测量中估计准确的电压相量,标准的方法是使用高斯-牛顿方法迭代地改进一个好的初始猜测。然而,估计的非凸性使得高斯-牛顿方法对其初始猜测很敏感,因此需要人工干预来检测收敛到可信但最终是虚假的估计。本文在角度估计子问题和相位同步之间建立了一个新的联系,以产生两个关键的好处:首先,对角度进行异常高质量的初始猜测,称为谱初始化;其次,估计角度的正确性保证,称为全局最优性证书。这些问题被表述为稀疏特征值-特征向量问题,我们在相当的时间内有效地计算了几个高斯-牛顿迭代。我们在完整的波兰、PEGASE和RTE模型上的实验表明,在电压值已经相当准确的情况下,光谱初始化提供了一个几乎完美的单次估计,从$2n$中等噪声的总线功率测量(即$n$对PQ测量)中获得$n$角度,其正确性在单次高斯-牛顿迭代后得到保证。对于不太精确的电压值,该方法的性能会优雅地下降;即使有中等电压幅度误差,估计的电压角仍然惊人地准确。
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引用次数: 0
Distributed Event-Triggered Bandit Convex Optimization With Time-Varying Constraints 时变约束下的分布式事件触发强盗凸优化
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-04-08 DOI: 10.1109/TCNS.2025.3558791
Kunpeng Zhang;Xinlei Yi;Guanghui Wen;Ming Cao;Karl H. Johansson;Tianyou Chai;Tao Yang
This article considers the distributed bandit convex optimization problem with time-varying inequality constraints over a network of agents, where the goal is to minimize network regret and cumulative constraint violation. Existing distributed online algorithms solving this problem require that each agent broadcasts its decision to its neighbors at each iteration. However, communication resources are often limited. To better utilize communication resources, we propose a distributed event-triggered online primal–dual algorithm with two-point bandit feedback. Under several classes of appropriately chosen decreasing parameter sequences and nonincreasing event-triggered threshold sequences, we establish dynamic network regret and network cumulative constraint violation bounds. These bounds are comparable to the results achieved by distributed event-triggered online algorithms with full-information feedback. Finally, a numerical example is provided to verify the theoretical results.
本文研究了agent网络上具有时变不等式约束的分布式强盗凸优化问题,其目标是最小化网络遗憾和累积约束违反。解决该问题的现有分布式在线算法要求每个代理在每次迭代时将其决策广播给相邻代理。然而,通信资源往往是有限的。为了更好地利用通信资源,我们提出了一种具有两点强盗反馈的分布式事件触发在线原始对偶算法。在适当选择的几类递减参数序列和非递增事件触发阈值序列下,建立了动态网络遗憾和网络累积约束违反边界。这些边界可与具有全信息反馈的分布式事件触发在线算法所获得的结果相媲美。最后,通过数值算例验证了理论结果。
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引用次数: 0
Toward Tight Lower Bounds for the Number of AC Optimal Power Flow Solutions 交流最优潮流解数目的紧下界
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-04-08 DOI: 10.1109/TCNS.2025.3558830
Wei Tian;Hsiao-Dong Chiang;Tao Wang
Tight lower bounds on the number of locally optimal solutions provide useful information regarding the number of locally optimal solutions in the ac optimal power flow (ACOPF) problems. This article is devoted to deriving three lower bounds for the number of locally optimal solutions by exploring feasible components of the OPF models and the associated Karush–Kuhn–Tucker (KKT) saddle points. The three lower bounds derived in this article are shown to be progressively tightened by exploring the KKT saddle points. Each derived lower bound is equipped with a theoretical foundation. The analytical results of the derived lower bounds are illustrated on numerous IEEE test systems.
局部最优解数目的紧下界为交流最优潮流问题的局部最优解数目提供了有用的信息。本文致力于通过探索OPF模型的可行分量和相关的Karush-Kuhn-Tucker (KKT)鞍点,推导出局部最优解数量的三个下界。通过探索KKT鞍点,表明本文导出的三个下界是逐步收紧的。每个推导出的下界都有一定的理论基础。推导出的下界的解析结果在许多IEEE测试系统上得到了说明。
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引用次数: 0
Adaptive Event-Triggered Control With Sampled Transmitted Output and Controller Dynamics 具有采样传输输出和控制器动态的自适应事件触发控制
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-03-31 DOI: 10.1109/TCNS.2025.3556478
Gewei Zuo;Lijun Zhu
The event-triggered control with intermittent output can reduce the communication burden between the controller and plant sides over the network. It has been exploited for adaptive output feedback control of uncertain nonlinear systems in the literature; however, the controller must partially reside at the plant side where computation capacity is required. In this article, all controller components are moved to the controller side, and their dynamics use sampled states rather than continuous ones with the benefit of directly estimating the next triggering instance of some conditions and avoiding constantly checking the event condition at the controller side. However, these bring two major challenges. First, the virtual input designed in the dynamic filtering technique for stabilization is no longer differentiable. Second, the plant output is sampled to transmit at the plant side and sampled again at the controller side to construct the controller, and the two asynchronous samplings make the analysis more involved. This article solves these two issues by introducing a new state observer to simplify the adaptive law, a set of continuous companion variables for stability analysis, and a new lemma quantifying the error bound between the actual output signal and the sampled transmitted output. It is theoretically guaranteed that all internal signals in the closed-loop system are semiglobally bounded and the output is practically stabilized to the origin. Finally, the numerical simulation illustrates the effectiveness of the proposed scheme.
具有间歇输出的事件触发控制可以减少控制器与被控设备之间的网络通信负担。在文献中,它已被用于不确定非线性系统的自适应输出反馈控制;然而,控制器必须部分驻留在需要计算能力的工厂端。在本文中,所有控制器组件都移动到控制器端,它们的动态使用采样状态而不是连续状态,这样可以直接估计某些条件的下一个触发实例,并避免在控制器端不断检查事件条件。然而,这带来了两大挑战。首先,动态滤波稳定化技术所设计的虚输入不再是可微的。其次,对植物输出进行采样以在植物端传输,并在控制器端再次采样以构造控制器,并且两次异步采样使分析更加复杂。本文通过引入一个新的状态观测器来简化自适应律,引入一组连续伴变量来进行稳定性分析,并引入一个新的引理来量化实际输出信号与采样传输输出之间的误差界,从而解决了这两个问题。从理论上保证了闭环系统的所有内部信号都是半全局有界的,输出实际上稳定于原点。最后,通过数值仿真验证了所提方案的有效性。
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引用次数: 0
Propagation Dynamics of Network System in Response to the Resource-Consuming Attack 响应资源消耗攻击的网络系统传播动态
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-03-31 DOI: 10.1109/TCNS.2025.3556483
Baihao Peng;Junfeng Liu;Jun Zeng
Modeling and analysis play a crucial role in the prevention, safeguarding, and assessment of network security. However, existing literature on network security modeling overlooks the realistic convertibility between malware states. Thus, based on the susceptible–infected–susceptible compartmental model, this study proposes a susceptible–infected–exhausted–susceptible model that includes an enhanced transition pathway of the malware state. Subsequently, considering the potential heterogeneity of network topology and pulse wave attacks (PA), three additional models are expanded upon. Concurrently, the dynamic stability analyses of these four models have been conducted to verify the practicality of effective control by malicious attackers (MA) and network defenders (ND) within these frameworks to achieve their respective benefits. Finally, based on the framework of optimal control and game theory, we discuss and simulate attack–defense confrontation under various scenarios, including different objective functions, network topologies, control forms, and parameter combinations. Experimental results demonstrate that in most cases, MA refrained from launching malicious attacks but continued malware propagation. Under certain conditions, malware may remain in a dormant state indefinitely. Meanwhile, ND consistently engages in network repair regardless of MA's actions. MA's revenue peaks when launching continuous-time attacks in the financial network, while ND's revenue is at its lowest. In the majority of instances, under PA and higher operation costs, MA's efficacy is lower, while ND performs better.
建模和分析在网络安全的预防、维护和评估中起着至关重要的作用。然而,现有的网络安全建模文献忽略了恶意软件状态之间的现实可转换性。因此,在易感-感染-易感区隔模型的基础上,本研究提出了一个易感-感染-耗尽-易感模型,该模型包含了一个增强的恶意软件状态过渡途径。随后,考虑到网络拓扑和脉冲波攻击(PA)的潜在异质性,扩展了另外三个模型。同时,对这四种模型进行了动态稳定性分析,验证了恶意攻击者(MA)和网络防御者(ND)在这些框架内进行有效控制以实现各自利益的可行性。最后,基于最优控制和博弈论的框架,讨论并模拟了不同目标函数、网络拓扑、控制形式、参数组合等场景下的攻防对抗。实验结果表明,在大多数情况下,MA不会发起恶意攻击,而是继续进行恶意传播。在某些条件下,恶意软件可能无限期地保持休眠状态。同时,无论MA的行为如何,ND始终如一地从事网络修复工作。MA的收入在对金融网络发起连续攻击时达到峰值,而ND的收入则处于最低点。在大多数情况下,在PA和较高的操作成本下,MA的效果较低,而ND的效果较好。
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引用次数: 0
Switching-Like Event-Based Formation Control for Multiagent Systems Against Denial-of-Service Attacks 面向拒绝服务攻击的多智能体系统的基于事件交换的编队控制
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-03-31 DOI: 10.1109/TCNS.2025.3556392
Tingting Ru;Chenxiao Cai;Hong Lin;Imre J. Rudas;Peng Shi
This article studies formation control for multiagent systems in the presence of denial-of-service (DoS) attacks. The challenge is to address secure formation tracking and communication bandwidth-saving issues simultaneously. To tackle this, we propose a switching-like event-triggered mechanism that reduces excessive bandwidth consumption during interactions among multiple followers under DoS attacks. The triggering condition is allowed to be switched during the intervals when attacks are activated, ensuring that triggering can normally occur throughout the overall time interval by introducing an auxiliary variable depending on the success of the latest trigger moment. Based on this approach, we construct an event-based time-varying formation control scheme. In addition, we establish sufficient conditions that reveal the relationship between exponential stability and the frequency/duration of the DoS attacks. Unlike other single-leader methods, a significant feature of the formation control scheme is its ability to achieve the desired formation tracking for multiagent systems with multiple leaders. Finally, the validity of the proposed method is demonstrated through simulation and experimental results.
本文研究了多智能体系统在拒绝服务攻击下的队形控制问题。挑战在于同时解决安全的地层跟踪和通信带宽节省问题。为了解决这个问题,我们提出了一种类似于切换的事件触发机制,以减少在DoS攻击下多个追随者之间交互期间过度的带宽消耗。允许在激活攻击的间隔期间切换触发条件,通过引入依赖于最新触发时刻的成功的辅助变量,确保触发可以在整个时间间隔中正常发生。在此基础上,构造了一种基于事件的时变编队控制方案。此外,我们建立了揭示指数稳定性与DoS攻击频率/持续时间之间关系的充分条件。与其他单领导者方法不同,群体控制方案的一个重要特征是它能够在具有多个领导者的多智能体系统中实现所需的群体跟踪。最后,通过仿真和实验结果验证了所提方法的有效性。
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引用次数: 0
State Estimation of Multisensor With Out-of-Order Measurements 具有乱序测量的多传感器状态估计
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-03-24 DOI: 10.1109/TCNS.2025.3554015
Qian Zhao;Haoyuan Xu;Yuzhe Li
Networked control systems, facilitating state estimation through wireless multisensor data transmission, encounter challenges with spatial out-of-order issues, where data transmitted to the fusion center lack identifiable sources. This scenario, analogous to post office boxes receiving letters without addresses, complicates state estimation and affects system accuracy and reliability. To address this, we explore two spatial out-of-order scenarios, focusing on enhancing state estimation precision. For the random out-of-order scenario, characterized by unpredictable sensor data sequences, we propose an accumulative measurement approach and introduce two algorithms to restore data order, thereby improving state estimation accuracy. In the fixed out-of-order scenario, where a consistent but unknown pattern exists, our two algorithms efficiently restore measurement order within a limited time frame. Numerical examples and simulations substantiate the effectiveness of our methods, confirming their utility in maintaining accurate system state estimation.
网络控制系统,通过无线多传感器数据传输促进状态估计,遇到空间乱序问题的挑战,其中传输到融合中心的数据缺乏可识别的来源。这种情况类似于邮局接收没有地址的信件,使状态估计变得复杂,并影响系统的准确性和可靠性。为了解决这个问题,我们探讨了两种空间乱序场景,重点是提高状态估计精度。针对传感器数据序列不可预测的随机乱序场景,我们提出了一种累积测量方法,并引入了两种恢复数据顺序的算法,从而提高了状态估计的精度。在固定失序情况下,存在一致但未知的模式,我们的两种算法在有限的时间框架内有效地恢复测量顺序。数值算例和仿真验证了该方法的有效性,证实了其在保持系统状态估计精度方面的实用性。
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引用次数: 0
A Predefined-Time Multiagent Approach to Distributed Nonconvex Optimization With Nonlinearly Coupled Information 具有非线性耦合信息的分布式非凸优化的预定义时间多智能体方法
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-03-24 DOI: 10.1109/TCNS.2025.3554005
Zicong Xia;Wenwu Yu;Wei Ren
This article formulates a predefined-time multiagent approach to distributed nonconvex constrained optimization and tackles the challenges caused by the nonconvexity and nonlinearly coupled information. The divergence caused by nonconvexity is handled by utilizing a momentum-based system, and the distributed computation of nonlinearly coupled optimization information, as well as the distributed comparison of global function values, is dealt with by introducing estimation state variables. Then, combined with time-base generators, the proposed multiagent system is proven to be stable at a local optimal solution within a predefined time. The simulations of a chiller system and a numerical example are elaborated to verify and demonstrate the enhanced stability, predefined-time convergence, and distributed computation capability of the proposed multiagent approach.
本文提出了一种预定义时间的多智能体分布式非凸约束优化方法,解决了非凸性和非线性耦合信息所带来的挑战。利用动量系统处理非凸性引起的散度,引入估计状态变量处理非线性耦合优化信息的分布式计算和全局函数值的分布式比较。然后,结合时基生成器,证明了所提出的多智能体系统在预定义时间内稳定于局部最优解。通过一个冷水机组系统的仿真和数值算例验证了该方法的稳定性、预定义时间收敛性和分布式计算能力。
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引用次数: 0
Differentially Private Dynamic Average Consensus of Multiagent Systems via Cloud Access With Self-Triggered Mechanism 基于自触发机制的云访问中多智能体系统的差分私有动态平均一致性
IF 5 3区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-03-24 DOI: 10.1109/TCNS.2025.3554006
Yang Yang;Kaijie Yang;Wenbin Yue;Zhiyuan Li;Chao Deng
Sensitive information is critical in networked systems, and a differential privacy problem of dynamic average consensus (DAC) is reported for a class of multiagent systems that cannot communicate directly. With the help of a cloud repository, a cloud-based differentially private DAC control scheme is proposed. Agents' states are added noises, and combined states are constructed. With combined state errors, a self-triggered rule for a cloud access schedule is proposed in a cloud framework. With this proposed scheme, the related system consensus accuracy and privacy-preserving index are analyzed. Furthermore, the relationship, between the privacy-preserving index and parameters in a cloud access scheduling rule, is investigated. Finally, two examples are given to demonstrate the feasibility of the scheme.
摘要针对一类不能直接通信的多智能体系统,提出了动态平均共识(DAC)的差分隐私问题。借助云存储库,提出了一种基于云的差分私有DAC控制方案。将智能体的状态加入噪声,构造组合状态。针对组合状态错误,在云框架中提出了一种自触发的云访问调度规则。利用该方案,分析了相关的系统共识精度和隐私保护指标。进一步研究了云访问调度规则中隐私保护索引与参数之间的关系。最后,通过两个算例验证了该方案的可行性。
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引用次数: 0
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IEEE Transactions on Control of Network Systems
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