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Linear Algebra Based Tracking Control of a Drone 基于线性代数的无人机跟踪控制
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-09-17 DOI: 10.1049/cth2.70074
Pedro Albertos, Pablo del Río, Cui Wei, Angel Cuenca

In this paper, linear algebra based (LAB) control methodology is proposed as a feasible technique for tracking control of drones. The method introduces a straightforward mathematical procedure, which leads to a low computational cost implementation. A comprehensive analysis of LAB control applied to drone trajectory tracking, including detailed mathematical derivations, stability analysis, and practical implementation considerations is provided. Moreover, compared to one of the most popular non-linear control techniques, that is, feedback linearization (FL), LAB is able to reach satisfactory tracking and energy saving even under the consideration of complex trajectories (with sudden changes). The paper addresses key implementation challenges including sampling period selection, control parameter tuning methodologies, and actuator saturation handling. Extensive simulation results demonstrate the effectiveness of the proposed approach and its advantages over traditional FL method.

本文提出了一种基于线性代数的无人机跟踪控制方法。该方法引入了一个简单的数学过程,从而实现了较低的计算成本。综合分析了LAB控制在无人机轨迹跟踪中的应用,包括详细的数学推导、稳定性分析和实际实现考虑。此外,与最流行的非线性控制技术之一反馈线性化(FL)相比,LAB即使在考虑复杂(突变)轨迹的情况下也能达到令人满意的跟踪和节能效果。本文解决了关键的实现挑战,包括采样周期选择,控制参数调整方法和执行器饱和处理。大量的仿真结果证明了该方法的有效性,并证明了该方法相对于传统FL方法的优越性。
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引用次数: 0
Unit Commitment and Economic Dispatch via Graph Attention Neural Network–Based Parallel Distributed Coordination Algorithm 基于图注意神经网络并行分布式协调算法的机组投入与经济调度
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-09-09 DOI: 10.1049/cth2.70070
Siyi Zhou, Liang Shi, Min Xia, Jian Geng, Jun Liu, Fang Yu

The joint optimisation of unit commitment and economic dispatch (ED) is one of the key issues in smart grid scheduling and control. Integrating the discrete on/off statuses of units in the unit commitment problem with the continuous active power outputs in ED significantly increases the overall complexity of the combined optimisation problem. We propose an innovative distributed algorithm based on a graph attention network to address this challenge. The graph neural network is used to extract the inter-unit relational features and predict the future power dispatch schedule of each unit, while the parallel distributed coordination algorithm (PDCA), acting as the power dispatch algorithm, schedules and controls the output power of the units, including their start-up and shut-down states. Experimental results show that our algorithm performs well on both the IEEE 30-bus and IEEE 118-bus test systems, achieving a 1559 times speed boost compared to advanced solvers, and reaching economic optimality while satisfying all critical constraints to obtain an industrial acceptable solution.

机组投入与经济调度的联合优化是智能电网调度与控制的关键问题之一。将机组投入问题中机组的离散开/关状态与ED的连续有功输出相结合,大大增加了组合优化问题的整体复杂性。我们提出了一种基于图注意力网络的创新分布式算法来解决这一挑战。利用图神经网络提取机组间关系特征,预测各机组未来的电力调度计划,并行分布式协调算法(PDCA)作为电力调度算法,对机组的输出功率进行调度和控制,包括机组的启动和停机状态。实验结果表明,我们的算法在IEEE 30总线和IEEE 118总线测试系统上都表现良好,与先进的求解器相比,速度提升了1559倍,并且在满足所有关键约束的情况下达到了经济最优,从而获得了工业可接受的解。
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引用次数: 0
Dual-Observer Based Resilient Control for Vehicle Trajectory Tracking Under Tri-Modal Cyber Attacks 基于双观测器的三模式网络攻击下车辆轨迹跟踪弹性控制
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-09-08 DOI: 10.1049/cth2.70072
Zigui Kang, Tao Li, Xiaofei Fan

This study addresses vehicle trajectory tracking control under tri-modal cyber attacks, encompassing fixed sensor-to-controller/controller-to-actuator channel attacks in lateral dynamics and sparse multi-sensor attacks in position tracking. A hybrid fuzzy modeling framework is developed, integrating fuzzy logic inference with Takagi-Sugeno fuzzy techniques to approximate vehicle dynamics with time-varying velocity, payload-dependent mass, and unmeasurable cornering stiffness avoiding the conservatism inherent in conventional linear fractional transformation approaches for cornering stiffness parameterization. A dual-observer architecture combining an extended state observer and a supervisory fuzzy reduced-order observer (ESO-SFRO) is proposed for simultaneous system state reconstruction and tri-modal attack signal estimation. Based on the estimated states, a cyber-resilient controller is designed to ensure lateral stability and trajectory tracking accuracy. Experimental validation via CarSim/Simulink co-simulation demonstrates the proposed ESO-SFRO based controller exhibits superior dynamic stability and trajectory tracking performance under coupled cyber-physical disturbances.

本研究解决了三模式网络攻击下的车辆轨迹跟踪控制问题,包括横向动力学中的固定传感器到控制器/控制器到执行器通道攻击和位置跟踪中的稀疏多传感器攻击。建立了一种混合模糊建模框架,将模糊逻辑推理与Takagi-Sugeno模糊技术相结合,对具有时变速度、载荷相关质量和不可测转弯刚度的车辆动力学进行了近似,避免了传统线性分数变换方法在转弯刚度参数化中固有的保守性。提出了一种结合扩展状态观测器和监督模糊降阶观测器(ESO-SFRO)的双观测器结构,用于同时进行系统状态重构和三模攻击信号估计。基于预估状态,设计了网络弹性控制器,保证了系统的横向稳定性和轨迹跟踪精度。通过CarSim/Simulink联合仿真的实验验证表明,所提出的基于ESO-SFRO的控制器在耦合网络物理干扰下具有优异的动态稳定性和轨迹跟踪性能。
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引用次数: 0
Reliable Saturation Control for Multiple Asynchronous Switched Positive Systems With Adaptive Event-Triggered Control 基于自适应事件触发控制的多异步开关正系统的可靠饱和控制
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-09-08 DOI: 10.1049/cth2.70059
Hongyuan Ma, Le Zhang, Hong Yang, Ying Zhao

This paper investigates the L1 gain stability problem of reliable control for positive systems with input saturation under multi-asynchronous switching. Firstly, by constructing a system state observer and integrating it with an output feedback control strategy, the input variables for the system controller were obtained, and a reliable controller with input saturation was designed. Secondly, to prevent data accumulation, an adaptive event-triggered control strategy that ensures the non-negativity requirements of positive systems is introduced between the observer and the system state. This strategy can adjust the tightness of the event-triggering process, which not only improves control efficiency but also reduces the risk of the Zeno effect. The following describes a switching strategy based on event-triggered control. Under the guidance of a time-varying mode-dependent average dwell-time switching strategy, the multi-asynchronous delay problem of sub-observers and sub-controllers with respect to subsystems is addressed, leading to a closed-loop control system based on error feedback. By constructing co-positive Lyapunov function, sufficient conditions for the positivity of the system under both synchronous- and asynchronous-switching are provided, and the L1 gain stability of the system in both synchronous and asynchronous intervals is verified. Finally, the significance of the proposed method is validated through an example.

研究了多异步切换下输入饱和正系统可靠控制的L1增益稳定性问题。首先,通过构造系统状态观测器,并将其与输出反馈控制策略相结合,得到系统控制器的输入变量,设计出具有输入饱和的可靠控制器;其次,为了防止数据积累,在观测器和系统状态之间引入了一种自适应事件触发控制策略,该策略确保了正系统的非负性要求。该策略可以调节事件触发过程的紧密性,既提高了控制效率,又降低了芝诺效应的风险。下面介绍一种基于事件触发控制的切换策略。在时变模相关平均驻留时间切换策略的指导下,解决了子观测器和子控制器相对于子系统的多异步延迟问题,形成了基于误差反馈的闭环控制系统。通过构造协正Lyapunov函数,给出了系统在同步和异步切换下均为正的充分条件,验证了系统在同步和异步切换区间L1增益的稳定性。最后,通过算例验证了所提方法的意义。
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引用次数: 0
Improving the Control Actions of a Discrete FOPID Controller by Refining the Integral Term: Application to a 1-DOF Twin-Rotor System 通过细化积分项来改善离散FOPID控制器的控制行为:在1自由度双转子系统中的应用
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-09-04 DOI: 10.1049/cth2.70056
Oscar Gonzales-Zurita, Erick Columba, Christian Ortega

This research highlights the application of unmanned aerial vehicle (UAV) control in a reduced and laboratory scale model called 1-DOF twin rotor system (1D-TRS). Although the PID controller is widely used in UAVs due to its versatility and functionality, it has precision and disturbance rejection limitations. The discrete-time fractional-order PID (FOPID) controller is a valid alternative for UAV control that requires approximating the integral and derivative terms using an infinite summation of fractional terms, from which the most representative are selected for practical implementation. For low-scale UAV models, implementation is challenging since microcontrollers must process fractional operations in discrete time into limited hardware capabilities. In this context, tuning control parameters also represents a challenge since the PID constants and the fractional order parameters must be considered. This study proposes a discrete-time FOPID controller emphasizing the integral term, utilizing the same components as a conventional FOPID but with improved tuning flexibility. Since the integral term plays a key role in reducing tracking errors, this approach enhances accuracy without significantly increasing computational complexity, ultimately resulting in an FOPI + D controller. Tuning the controller parameters is also considered an a priori idea to set λ=μ=0.5$lambda = mu = 0.5;$ to leverage the capacities of the particle swarm optimization (PSO) method for adjusting the PID constants without increasing its computational cost if all the FOPID parameters were considered to perform tests and PSO calibration to obtain the desired control results. Experimental tests were conducted on the 1D-TRS using different reference signals, such as step, steps, and ramp inputs. Additionally, external disturbances were introduced during experimental scenarios. The proposed controller was compared against traditional PID and discrete FOPID controllers, with performance metrics demonstrating improved system response. The results showed that the proposed controller enhances trajectory tracking in 1D-TRS, improving both precision and robustness against disturbances. It is a valuable alternative for UAV applications where stability and tracking accuracy are critical.

本研究重点介绍了一种称为1-DOF双旋翼系统(1D-TRS)的缩小和实验室比例模型中无人机控制的应用。尽管PID控制器由于其通用性和功能性在无人机中得到了广泛的应用,但它在精度和抗干扰方面存在局限性。离散时间分数阶PID (FOPID)控制器是无人机控制的有效替代方案,该控制需要使用分数阶项的无限求和来逼近积分项和导数项,并从中选择最具代表性的项用于实际实现。对于低规模的无人机模型,实现是具有挑战性的,因为微控制器必须在离散时间内将分数操作处理成有限的硬件能力。在这种情况下,调整控制参数也是一个挑战,因为必须考虑PID常数和分数阶参数。本研究提出了一种离散时间FOPID控制器,强调积分项,使用与传统FOPID相同的组件,但具有改进的调谐灵活性。由于积分项在减少跟踪误差方面起着关键作用,因此该方法在不显著增加计算复杂度的情况下提高了精度,最终得到了FOPI + D控制器。在所有FOPID参数均为时,利用粒子群优化(PSO)方法在不增加计算成本的情况下调整PID常数的能力,将控制器参数设置为λ = μ = 0.5 $lambda = mu = 0.5;$也是一种先验的想法考虑进行测试和PSO校准以获得所需的控制结果。采用不同的参考信号,如步进、步进和斜坡输入,对1D-TRS进行了实验测试。此外,在实验场景中引入了外部干扰。将所提出的控制器与传统PID和离散FOPID控制器进行了比较,性能指标表明系统响应得到了改善。结果表明,该控制器增强了1D-TRS的轨迹跟踪能力,提高了精度和抗干扰的鲁棒性。对于稳定性和跟踪精度至关重要的无人机应用来说,它是一个有价值的替代方案。
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引用次数: 0
A Novel Cascaded RPIDD2-PI Controller Tuned by Enhanced Cooperation Search Algorithm for Automatic Voltage Regulator Systems 一种基于增强协同搜索算法的级联RPIDD2-PI控制器
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-09-03 DOI: 10.1049/cth2.70068
Davut Izci, Fatma A. Hashim, Serdar Ekinci, Sahar F. Sabbeh, Mohit Bajaj, Lukas Prokop, Ievgen Zaitsev

Voltage regulation is essential for maintaining the stability and efficiency of power systems, and automatic voltage regulators (AVRs) play a key role in ensuring consistent voltage levels and reducing disturbances. In this study, a novel cascaded controller, referred to as RPIDD2-PI, is proposed for AVR systems, representing its first known application in literature. The controller is designed to enhance voltage regulation by improving precision, stability, and dynamic responsiveness. To optimize the controller parameters, an improved metaheuristic algorithm called the enhanced cooperation search algorithm (ECSA) has been developed. This algorithm incorporates several features, including control randomization, a linear transfer function, an adaptive p-best mutation strategy, and a greedy selection mechanism. These enhancements provide a balanced trade-off between exploration and exploitation during the optimization process. Simulation results show that the ECSA-tuned controller achieves excellent dynamic performance, with a rise time of 0.0314 s, a settling time of 0.0472 s, and zero overshoot, outperforming existing methods. The standard deviation of 7.9591E−05 across multiple runs highlights the consistency and robustness of the solution. Robustness tests confirm the controller's reliability under parameter uncertainties in the amplifier, exciter, and generator components, showing only minor variations in dynamic performance. Furthermore, the proposed controller demonstrates strong transient stability by minimizing oscillations and enabling a fast return to steady-state conditions. Comparative studies against more than 40 recent optimization-based controllers published between 2020 and 2023 confirm that the ECSA offers faster convergence and higher efficiency.

电压调节对于维持电力系统的稳定性和效率至关重要,而自动电压调节器(avr)在确保稳定的电压水平和减少干扰方面发挥着关键作用。在这项研究中,提出了一种新的级联控制器,称为RPIDD2-PI,用于AVR系统,代表了其在文献中的第一个已知应用。该控制器旨在通过提高精度,稳定性和动态响应能力来增强电压调节。为了优化控制器参数,提出了一种改进的元启发式算法——增强合作搜索算法(ECSA)。该算法结合了控制随机化、线性传递函数、自适应p-best突变策略和贪婪选择机制等特点。这些增强功能在优化过程中提供了勘探和开发之间的平衡权衡。仿真结果表明,ecsa调谐控制器具有良好的动态性能,其上升时间为0.0314 s,沉降时间为0.0472 s,超调量为零,优于现有方法。多次运行的标准偏差为7.9591E−05,突出了解决方案的一致性和鲁棒性。鲁棒性测试证实了控制器在放大器、励磁器和发电机组件参数不确定情况下的可靠性,显示动态性能只有很小的变化。此外,所提出的控制器通过最小化振荡并能够快速返回稳态条件,表现出强大的瞬态稳定性。与2020年至2023年间发布的40多个基于优化的控制器进行比较研究,证实了ECSA具有更快的收敛速度和更高的效率。
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引用次数: 0
A Semigroup Framework for Turnpike Property of Infinite-Dimensional Generalized Linear-Quadratic Problems 无穷维广义线性二次问题收费公路性质的半群框架
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-09-03 DOI: 10.1049/cth2.70069
Zhuqing Li, Roberto Guglielmi

We deduce a sufficient condition for the exponential (integral) turnpike property for infinite-dimensional generalized linear-quadratic optimal control problems in terms of structural properties of the control system, such as exponential stabilizability and detectability. The proof relies on the analysis of the exponential convergence of solutions to the differential Riccati equations to the algebraic counterpart, and on a necessary condition for exponential stabilizability in terms of a closed range test.

从控制系统的指数稳定性和可检测性等结构性质出发,推导了无限维广义线性二次最优控制问题具有指数(积分)收费公路性质的充分条件。该证明依赖于分析微分Riccati方程解对其代数对应物的指数收敛性,并依赖于指数稳定性的封闭范围检验的必要条件。
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引用次数: 0
Enhanced Hiking Optimization Algorithm for Robust PID Control in Doubly-Fed Induction Generator Systems for Wind Energy Applications 双馈风力发电系统鲁棒PID控制的增强徒步优化算法
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-09-02 DOI: 10.1049/cth2.70071
Davut Izci, Fatma Artun, Serdar Ekinci, Mohit Bajaj, Vojtech Blazek, Ievgen Zaitsev

This paper addresses the critical control challenges inherent in doubly fed induction generator (DFIG) systems, which are pivotal components of modern wind energy conversion systems (WECS). These systems often face performance degradation due to their nonlinear dynamics, sensitivity to grid disturbances, and difficulty in achieving robust control under fluctuating operational conditions. To tackle these issues, this study proposes an innovative approach for optimizing proportional-integral-derivative (PID) controller parameters using the hiking optimization algorithm (HOA). Inspired by Tobler's walking function, HOA is integrated with an enhanced version of the Zwe-Lee Gaing (ZLG) objective function that incorporates penalty terms for overshoot, settling time, control effort, and abrupt signal variations. This enables a robust balance between transient and steady-state performance in dynamic environments. Extensive simulations validate the effectiveness of the HOA-optimized PID controller against five state-of-the-art met heuristic algorithms: starfish optimization algorithm, grey wolf optimizer (GWO), dragonfly algorithm (DA), flow direction algorithm (FDA), and sine-cosine algorithm (SCA). The results demonstrate that HOA achieves superior performance across all key metrics, including zero overshoot, rapid settling time (0.08922 s), and minimal steady-state error. Statistically, HOA maintains the highest reliability with a standard deviation of just 0.0013 over 30 independent trials. In the frequency domain, HOA outperforms competitors by achieving the highest phase margin (87.163) and gain margin (26.11 dB), ensuring robust stability. The proposed controller also excels in disturbance rejection and input tracking under varying conditions. These findings establish HOA as a powerful and reliable optimization tool for advanced PID control of DFIG systems, with broader applicability in industrial control systems requiring high performance and adaptability.

本文讨论了双馈感应发电机(DFIG)系统固有的关键控制挑战,该系统是现代风能转换系统(WECS)的关键部件。由于非线性动力学、对网格扰动的敏感性以及在波动操作条件下难以实现鲁棒控制,这些系统经常面临性能下降的问题。为了解决这些问题,本研究提出了一种利用徒步优化算法(HOA)优化比例-积分-导数(PID)控制器参数的创新方法。受Tobler行走函数的启发,HOA集成了Zwe-Lee Gaing (ZLG)目标函数的增强版本,该目标函数包含了超调、稳定时间、控制努力和突然信号变化的惩罚项。这使得在动态环境中实现了瞬态和稳态性能之间的稳健平衡。大量的仿真验证了hoa优化PID控制器对五种最先进的启发式算法的有效性:海星优化算法、灰狼优化算法(GWO)、蜻蜓算法(DA)、流向算法(FDA)和正弦余弦算法(SCA)。结果表明,HOA在所有关键指标上都实现了卓越的性能,包括零超调、快速稳定时间(0.08922 s)和最小的稳态误差。统计上,HOA在30个独立试验中保持最高的信度,标准差仅为0.0013。在频域,HOA通过实现最高的相位裕度(87.163)和增益裕度(26.11 dB)而优于竞争对手,确保了稳健的稳定性。该控制器在扰动抑制和变条件下的输入跟踪方面也很出色。这些发现表明,HOA是一种强大而可靠的优化工具,可用于DFIG系统的高级PID控制,在需要高性能和适应性的工业控制系统中具有更广泛的适用性。
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引用次数: 0
Dissipativity-Based Model Reduction for Two-Dimensional Periodic Systems 基于耗散的二维周期系统模型约简
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-09-01 DOI: 10.1049/cth2.70066
Najoua Nafie, Abderrahim El-Amrani, Ahmed El Hajjaji, Noreddine Chaibi, Bensalem Boukili

This paper presents a novel and efficient analysis based on linear matrix inequalities (LMIs) to derive optimized reduced models that preserve dissipativity for discrete-time periodic systems described by the two-dimensional (2D) Roesser model. To simplify stability analysis, we assume that the horizontal and vertical directions of the augmented system share the same period. By leveraging periodic Lyapunov functionals, we establish less conservative conditions that guarantee the existence of a 2D periodic reduced model that maintains the fundamental properties of the full-order system, ensuring asymptotic stability and (O1,O2,O3)$(mathcal {O}_1, mathcal {O}_2, mathcal {O}_3)$ dissipativity. Furthermore, we examine a specific case of dissipativity related to the H$ H_infty$ norm, addressing a crucial aspect of system performance. The parameters of the reduced model are determined through convex optimization techniques, and numerical simulations validate the theoretical results, demonstrating the effectiveness of the proposed approach and highlighting the correlation between optimal dissipative performance indices and different Lyapunov functionals.

本文提出了一种基于线性矩阵不等式(lmi)的新颖而有效的分析方法,以导出由二维(2D) Roesser模型描述的离散周期系统的优化简化模型,该模型保留了耗散率。为了简化稳定性分析,我们假设增广系统的水平方向和垂直方向具有相同的周期。通过利用周期Lyapunov泛函,我们建立了较保守的条件,保证了二维周期简化模型的存在性,该模型保持了全阶系统的基本性质,保证了渐近稳定性和(O 1)。O 2, O 3) $(mathcal {O}_1, mathcal {O}_2, mathcal {O}_3)$耗散率。此外,我们研究了与H∞$ H_infty$范数相关的耗散率的具体情况,解决了系统性能的一个关键方面。通过凸优化技术确定了简化模型的参数,数值模拟验证了理论结果,证明了所提出方法的有效性,并突出了最优耗散性能指标与不同Lyapunov泛函之间的相关性。
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引用次数: 0
Secure Dynamic State Estimation of WECS-Based Networked Microgrids Against Historical Measurement Triggered DoS Attacks 基于wes的网络微电网对抗历史测量触发DoS攻击的安全动态估计
IF 2.3 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2025-08-28 DOI: 10.1049/cth2.70065
Xiao Hu, Xinghua Liu, Gaoxi Xiao, Zhongmei Pan, Peng Wang

Wind energy conversion systems (WECSs) based networked microgrids has been widely used in recent years. The mean square error (MSE) metric can yield imprecise outcomes if measurement data is polluted by non-Gaussian disturbances or extreme values. To address this problem, we propose a new robust square root cubature Kalman filter (SRCKF) method called maximum correlation criterion (MCC)-SRCKF, which incorporates MCC into the SRCKF framework of dynamic state estimation. In MCC, by considering the high-order moments of the error distribution, it demonstrates anti-interference ability against non-Gaussian noise, thus serving as an ideal alternative in the MSE cost function field of SRCKF. Furthermore, within the framework of SRCKF, this study introduces statistical linear regression models and non-moving point iteration strategies to solve the optimal state estimation under MCC conditions. Therefore, a historical measurement triggered DoS attack model is proposed from the attacker's perspective, aiming to destabilise the WECS-based networked microgrids. The security conditions of the power system under such attacks are obtained. The proposed method is validated numerically using an IEEE 39-bus system, and the results demonstrate its effectiveness and superiority.

近年来,基于风能转换系统的网络化微电网得到了广泛的应用。如果测量数据受到非高斯干扰或极值的污染,均方误差(MSE)度量可能产生不精确的结果。为了解决这一问题,我们提出了一种新的鲁棒平方根立方卡尔曼滤波(SRCKF)方法,称为最大相关准则(MCC)-SRCKF,该方法将MCC融入到动态估计的SRCKF框架中。在MCC中,通过考虑误差分布的高阶矩,显示了对非高斯噪声的抗干扰能力,从而成为SRCKF的MSE代价函数领域的理想替代方案。在SRCKF框架内,引入统计线性回归模型和不动点迭代策略,求解MCC条件下的最优状态估计。因此,从攻击者的角度提出了一种历史测量触发DoS攻击模型,旨在破坏基于wws的网络化微电网的稳定性。得到了电力系统在这种攻击下的安全状况。在IEEE 39总线系统上对该方法进行了数值验证,结果表明了该方法的有效性和优越性。
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引用次数: 0
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