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Anti Wind‐Up and Robust Data‐Driven Model‐Free Adaptive Control for MIMO Nonlinear Discrete‐Time Systems 多输入多输出非线性离散时间系统的抗起风和鲁棒数据驱动的无模型自适应控制
IF 3.1 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-17 DOI: 10.1002/acs.3907
Mohsen Heydari, Alireza B. Novinzadeh, Morteza Tayefi
This article addresses a solution to one of the main challenges of online data‐driven control (DDC) methods: reducing the sensitivity of the model‐free adaptive control (MFAC) method to initial conditions and control parameters with the new control cost function and added the output error rate and integral along with a new anti‐wind up strategy for multi‐input multi‐output (MIMO) systems. The parameters introduced to the new control law have been validated using the boundary‐input boundary‐output (BIBO) approach to design and converge the controller. The simulation findings on a nonlinear auto‐regressive moving average model with exogenous inputs (NARMAX) system with triangular control input demonstrate that the proposed control rule will outperform to prototype MFAC. Furthermore, to analyze the sensitivity of the controller to the initial conditions and the uncertainties of the control parameters, 30 Monte Carlo simulations were performed with random initial conditions in the presence of disturbance in the control input, and output noise, and the results were compared with the prototype MFAC and conventional PID controller using standard criteria such as integral time absolute error, standard deviation, steady‐state error, and mean maximum error, which shows a noticeable superiority of proposed controller relative to the prototype MFAC.
本文探讨了在线数据驱动控制(DDC)方法面临的主要挑战之一的解决方案:利用新的控制成本函数降低无模型自适应控制(MFAC)方法对初始条件和控制参数的敏感性,并为多输入多输出(MIMO)系统增加了输出误差率和积分以及新的防风策略。采用边界-输入-边界-输出(BIBO)方法对新控制法则中引入的参数进行了验证,以设计和收敛控制器。对具有外生输入的非线性自回归移动平均模型(NARMAX)系统的仿真结果表明,所提出的控制规则优于原型 MFAC。此外,为了分析控制器对初始条件和控制参数不确定性的敏感性,在控制输入和输出噪声存在扰动的情况下,使用随机初始条件进行了 30 次蒙特卡罗模拟,并使用积分时间绝对误差、标准偏差、稳态误差和平均最大误差等标准将结果与原型 MFAC 和传统 PID 控制器进行了比较,结果表明,相对于原型 MFAC,建议的控制器具有明显的优势。
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引用次数: 0
Separable Synchronous Gradient‐Based Iterative Algorithms for the Nonlinear ExpARX System 非线性 ExpARX 系统的可分离同步梯度迭代算法
IF 3.1 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-10 DOI: 10.1002/acs.3904
Ya Gu, Yuting Hou, Chuanjiang Li, Yanfei Zhu
This article is aimed to study the parameter identification of the ExpARX system. To overcome the computational complexity associated with a large number of feature parameters, a parameter separation scheme based on the different features of the identification model is introduced. In terms of the phenomenon that the coupling parameters lead to the inability of algorithms, a separable synchronous interactive estimation method is introduced to eliminate the coupling parameters and perform parameter estimation in accordance with the hierarchical principle. For the purpose of achieving high‐accuracy performance and reducing complexity, a separable synchronous gradient iterative algorithm is derived by means of gradient search. In order to improve the identification accuracy, a separable synchronous multi‐innovation gradient iterative algorithm is proposed by introducing the multi‐innovation identification theory. In order to improve the convergence speed, a separable synchronous multi‐innovation conjugate gradient iterative algorithm is proposed by introducing the conjugate gradient theory. Finally, a simulation example and a real‐life example of piezoelectric ceramics are used to verify the effectiveness of the proposed algorithm.
本文旨在研究 ExpARX 系统的参数识别。为克服大量特征参数带来的计算复杂性,引入了基于识别模型不同特征的参数分离方案。针对耦合参数导致算法失效的现象,引入可分离同步交互估计方法,消除耦合参数,按照分层原则进行参数估计。为了实现高精度性能和降低复杂性,通过梯度搜索推导出一种可分离同步梯度迭代算法。为了提高识别精度,引入多创新识别理论,提出了一种可分离同步多创新梯度迭代算法。为了提高收敛速度,引入共轭梯度理论,提出了一种可分离的同步多创新共轭梯度迭代算法。最后,通过压电陶瓷的仿真实例和实际例子验证了所提算法的有效性。
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引用次数: 0
Neural Operator Approximations for Boundary Stabilization of Cascaded Parabolic PDEs 级联抛物型多项式方程边界稳定的神经算子近似值
IF 3.1 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-02 DOI: 10.1002/acs.3902
Kaijing Lv, Junmin Wang, Yuandong Cao
This article proposes a novel method to accelerate the boundary feedback control design of cascaded parabolic difference equations (PDEs) through DeepONet. The backstepping method has been widely used in boundary control problems of PDE systems, but solving the backstepping kernel function can be time‐consuming. To address this, a neural operator (NO) learning scheme is leveraged for accelerating the control design of cascaded parabolic PDEs. DeepONet, a class of deep neural networks designed for approximating nonlinear operators, has shown potential for approximating PDE backstepping designs in recent studies. Specifically, we focus on approximating gain kernel PDEs for two cascaded parabolic PDEs. We utilize neural operators to map only two kernel functions, while the other two are computed using the analytical solution, thus simplifying the training process. We establish the continuity and boundedness of the kernels, and demonstrate the existence of arbitrarily close DeepONet approximations to the kernel PDEs. Furthermore, we demonstrate that the DeepONet approximation gain kernels ensure stability when replacing the exact backstepping gain kernels. Notably, DeepONet operator exhibits computation speeds two orders of magnitude faster than PDE solvers for such gain functions, and their theoretically proven stabilizing capability is validated through simulations.
本文提出了一种通过 DeepONet 加速级联抛物线差分方程(PDE)边界反馈控制设计的新方法。反步法已被广泛应用于 PDE 系统的边界控制问题,但求解反步法核函数非常耗时。为了解决这个问题,我们利用神经算子(NO)学习方案来加速级联抛物型 PDE 的控制设计。DeepONet 是一类专为逼近非线性算子而设计的深度神经网络,在最近的研究中已显示出逼近 PDE 反步设计的潜力。具体而言,我们将重点放在近似两个级联抛物线 PDE 的增益核 PDE 上。我们利用神经算子只映射两个核函数,而另外两个核函数则使用解析解计算,从而简化了训练过程。我们确定了核函数的连续性和有界性,并证明存在任意接近核 PDE 的 DeepONet 近似值。此外,我们还证明了 DeepONet 近似增益核在替代精确的反步进增益核时能确保稳定性。值得注意的是,对于此类增益函数,DeepONet 算子的计算速度比 PDE 求解器快两个数量级,其理论证明的稳定能力也通过仿真得到了验证。
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引用次数: 0
Random Learning Leads to Faster Convergence in ‘Model‐Free’ ILC: With Application to MIMO Feedforward in Industrial Printing 随机学习使 "无模型 "ILC 更快收敛:应用于工业印刷中的 MIMO 前馈
IF 3.1 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-02 DOI: 10.1002/acs.3903
Leontine Aarnoudse, Tom Oomen
Model‐free iterative learning control (ILC) can lead to high performance by attenuating repeating disturbances completely, using dedicated experiments on the real system to replace the traditional model. The aim of this paper is to develop a fast data‐driven method for MIMO ILC that uses random learning in the form of efficient unbiased gradient estimates. This is achieved by developing a stochastic conjugate gradient algorithm, in which the search direction and optimal step size are generated using dedicated experiments. The approach is applied to MIMO automated feedforward tuning. Simulation and experimental results show that the method is superior to earlier stochastic and deterministic methods.
无模型迭代学习控制(ILC)可以通过在真实系统上进行专门实验来取代传统模型,从而完全减弱重复干扰,实现高性能。本文旨在为 MIMO ILC 开发一种快速数据驱动方法,该方法采用高效无偏梯度估计形式的随机学习。这是通过开发一种随机共轭梯度算法来实现的,其中搜索方向和最佳步长都是通过专门的实验产生的。该方法被应用于 MIMO 自动前馈调整。仿真和实验结果表明,该方法优于早期的随机和确定性方法。
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引用次数: 0
Hybrid sand cat-galactic swarm optimization-based adaptive maximum power point tracking and blade pitch controller for wind energy conversion system 基于自适应最大功率点跟踪和叶片变桨控制器的混合沙猫星系群优化风能转换系统
IF 3.9 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-08-30 DOI: 10.1002/acs.3890
Menda Ebraheem, T. R. Jyothsna

As wind energy is sustainable, pollution-free, easily available, and free of cost, it has become an efficient source of renewable energy for electricity generation. But, the problem with wind energy is that it varies with time, seasons, and location. This makes the Wind Energy Conversion System (WECS) unstable as it frequently needs to match the load demands. The balance in power generation by wind energy is essential since it has to be connected to various grids. So, this unbalanced energy production can affect the stability of the associated power grids as well. It also results in expensive regulatory measures, storage options, and load shedding. So, the stable operation of the WECS is highly essential to adapt it as a trustable source of electricity production. The stable operation of the WECS requires a robust and advanced system for control. Better control of the wind power extracting model is achieved by controlling the Maximum Power Point Tracking (MPPT) and blade pitch. So, an Adaptive MPPT and Blade Pitch Controller (BPC) for the WECS have been developed in this article, with the support of a hybrid optimization algorithm. In order to enhance the working principles of this controller, two effective algorithms such as Sand Cat Swarm Optimization (SCSO) and Galactic Swarm Optimization (GSO) are integrated and named Hybrid Sand Cat Galactic Swarm Optimization (HSC-GSO). With the help of the recommended HSC-GSO, the functionality of the controller is enhanced and also at the same time this algorithm helps to optimize the three gains in the Proportional Integral Differential (PID) controller of both MPPT and BPC, respectively. Moreover, with the support of the proposed HSC-GSO the damping oscillations in the WECS output power and voltage are minimized. In the end, the numerical analysis is conducted for the presented system by comparing it with the traditional techniques. From the overall result analysis, the stability of the recommended adaptive WECS is 97, which is higher than the conventional algorithms such as DHOA, SCSO, GSO, and DA. Thus, it has been proved that the proposed HSC-GSO algorithm for the parameters optimization in the PID controller of MPPT and the PID controller of BPC attains high robustness, increased steady-state stability, and efficient transient response than the traditional techniques.

摘要 由于风能具有可持续、无污染、易获取和免费等特点,它已成为一种高效的可再生发电能源。但是,风能的问题在于它随时间、季节和地点而变化。这使得风能转换系统(WECS)不稳定,因为它经常需要与负载需求相匹配。风能发电的平衡至关重要,因为它必须与各种电网相连。因此,这种不平衡的能源生产也会影响相关电网的稳定性。这也会导致昂贵的监管措施、存储方案和负荷削减。因此,要使 WECS 成为值得信赖的电力生产来源,其稳定运行至关重要。WECS 的稳定运行需要一个强大而先进的控制系统。通过控制最大功率点跟踪(MPPT)和叶片间距,可以更好地控制风能提取模型。因此,本文在混合优化算法的支持下,为风力发电系统开发了自适应最大功率点跟踪(MPPT)和叶片间距控制器(BPC)。为了增强该控制器的工作原理,本文集成了沙猫群优化(SCSO)和银河系群优化(GSO)两种有效算法,并将其命名为混合沙猫银河系群优化(HSC-GSO)。在推荐的 HSC-GSO 的帮助下,控制器的功能得到了增强,同时该算法还有助于分别优化 MPPT 和 BPC 的比例积分微分(PID)控制器中的三个增益。此外,在所提出的 HSC-GSO 支持下,WECS 输出功率和电压的阻尼振荡也降到了最低。最后,通过与传统技术的比较,对所提出的系统进行了数值分析。从总体结果分析来看,推荐的自适应 WECS 的稳定性为 97,高于 DHOA、SCSO、GSO 和 DA 等传统算法。由此证明,针对 MPPT PID 控制器和 BPC PID 控制器参数优化的 HSC-GSO 算法比传统技术具有更高的鲁棒性、更强的稳态稳定性和更有效的瞬态响应。
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引用次数: 0
Finite-time H ∞ filtering for Markov jump systems with partially unknown transition rates 具有部分未知转换率的马尔可夫跳跃系统的有限时间 H∞ 滤波
IF 3.9 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-08-29 DOI: 10.1002/acs.3900
Juan Zhou, Xinru Ai

The thesis studies a stochastic H$$ {H}_{infty } $$ finite-time bounded (SH$$ {H}_{infty } $$FTB) filter design method for time-varying delay Markov jump systems (MJSs) with partially unknown transition rates. First, a Lyapunov–Krasovskii functional with triple integral is built, the free weight matrix is added for lowering the conservatism. And the condition of SH$$ {H}_{infty } $$FTB of the error system is analyzed. Then, according to linear matrix inequalities (LMIs), a new filter design method is presented. Moreover, the dimension of the filter obtained is free, and the filter ensures that the error system is SH$$ {H}_{infty } $$FTB. Finally, the validity and effectiveness of the conclusion of this paper are demonstrated by simulation examples.

摘要论文研究了一种针对具有部分未知转换率的时变延迟马尔可夫跳跃系统(MJS)的随机有限时间有界(SFTB)滤波器设计方法。首先,建立一个具有三重积分的 Lyapunov-Krasovskii 函数,然后加入自由权重矩阵以降低保守性。并分析了误差系统的 SFTB 条件。然后,根据线性矩阵不等式(LMI),提出了一种新的滤波器设计方法。此外,所得到的滤波器维数是自由的,而且该滤波器能确保误差系统是 SFTB 的。最后,通过仿真实例证明了本文结论的正确性和有效性。
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引用次数: 0
Dynamic event‐triggered H∞ control for switched T‐S fuzzy systems under multiple cyber attacks 多重网络攻击下开关 T-S 模糊系统的动态事件触发 H∞ 控制
IF 3.1 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-08-22 DOI: 10.1002/acs.3901
Xiangtong Tan, Xiehuan Li, Guangdeng Zong
SummaryThis article studies the dynamic event‐triggered control problem for switched Takagi‐Sugeno (T‐S) fuzzy systems against multiple cyber attacks. A new multiple cyber attack model is established by considering random false data injection attacks and aperiodic denial‐of‐service attacks. Then, to further efficiently utilize network communication resources, a dynamic event‐triggered mechanism (ETM), which includes a nonnegative dynamic variable, is constructed. Furthermore, the time‐delay switched T‐S fuzzy system considering dynamic ETM and multiple cyber attacks is derived by utilizing model transformation methods. Moreover, sufficient conditions for globally asymptotically stability and performance are derived by utilizing multiple Lyapunov functions and average dwell time method. Finally, an example is provided to validate the effectiveness of dynamic ETM.
摘要 本文研究了开关高木-菅野(Takagi-Sugeno,T-S)模糊系统在多重网络攻击下的动态事件触发控制问题。通过考虑随机虚假数据注入攻击和非周期性拒绝服务攻击,建立了一个新的多重网络攻击模型。然后,为了进一步有效利用网络通信资源,构建了一种包含非负动态变量的动态事件触发机制(ETM)。此外,还利用模型转换方法推导出了考虑动态 ETM 和多重网络攻击的时延切换 T-S 模糊系统。此外,还利用多重 Lyapunov 函数和平均停留时间方法,推导出了全局渐近稳定性和性能的充分条件。最后,举例验证了动态 ETM 的有效性。
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引用次数: 0
Adaptive ILC methods with less adaption parameters for non-parameterized nonlinear continuous systems with nonsingular control gain matrices 针对具有非奇异控制增益矩阵的非参数化非线性连续系统的、自适应参数较少的自适应 ILC 方法
IF 3.9 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-08-21 DOI: 10.1002/acs.3896
Ya-Qiong Ding, Xiao-Dong Li

In this article, for non-parameterized nonlinear continuous (NPNC) multiple-input multiple-output (MIMO) systems, two combined iteration-domain and time-domain adaptive iterative learning control (ILC) algorithms are proposed to track iteration-varying reference trajectories repetitively over a finite time interval. Different from the general requirement in adaptive control community that the control gain matrices of the controlled systems are real symmetric and positive-definite, only the nonsingular property of the control gain matrices is assumed. Moreover, there are just two adaption parameters and one adaption parameter involved in the proposed two adaptive ILC algorithms respectively such that the computation load and memory-space are greatly saved. A simulation example is utilized to illustrate the effectiveness of the two proposed adaptive ILC algorithms with less adaption parameters.

摘要本文针对非参数化非线性连续(NPNC)多输入多输出(MIMO)系统,提出了两种结合迭代域和时域的自适应迭代学习控制(ILC)算法,以在有限的时间间隔内重复跟踪迭代变化的参考轨迹。与自适应控制领域对被控系统的控制增益矩阵必须是实对称和正无穷的一般要求不同,本文只假定控制增益矩阵具有非奇异性质。此外,所提出的两种自适应 ILC 算法分别只涉及两个自适应参数和一个自适应参数,因此大大节省了计算负荷和内存空间。本文通过一个仿真实例说明了所提出的两种自适应 ILC 算法在自适应参数较少的情况下的有效性。
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引用次数: 0
Edge-based event-triggered output feedback control for stochastic multi-agent systems 基于边缘事件触发的随机多代理系统输出反馈控制
IF 3.9 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-08-21 DOI: 10.1002/acs.3878
Chuanxi Zhu, Beibei Chang

This article considers the problem of edge-based event-triggered output feedback control for linear multi-agent systems (MASs) with state-independent process and measurement noise under undirected communication topologies. The main breakthroughs are the design of distributed event-triggered output feedback control strategy and the stochastic stability analysis. Toward this, first, according to Kalman filtering theory, An observer is contrasted to optimally estimate the state of each agent. Next, a novel edge-based event-triggered mechanism (EBETM) is designed to reduce the communication frequency among agents effectively, and a positive interval between events is enforced in EBETM, which can eliminate the Zeno behavior. Then, stability of the estimation error and the consensus error systems is analyzed, the execution error is estimated and the almost sure consensus is achieved. Finally, a numerical example is given to show that MASs achieves almost sure consensus and there is a positive interval between the events of all edges.

摘要 本文探讨了在无向通信拓扑结构下,对具有状态无关过程和测量噪声的线性多代理系统(MAS)进行基于边缘的事件触发输出反馈控制的问题。主要突破在于分布式事件触发输出反馈控制策略的设计和随机稳定性分析。为此,首先,根据卡尔曼滤波理论,对比了一个观测器来优化估计每个代理的状态。其次,设计了一种新颖的基于边缘的事件触发机制(EBETM),以有效降低代理之间的通信频率,并在 EBETM 中强制执行事件之间的正间隔,从而消除 Zeno 行为。然后,分析了估计误差和共识误差系统的稳定性,估计了执行误差,并实现了几乎确定的共识。最后,举例说明了 MASs 可以实现几乎确定的共识,并且所有边的事件之间都有正间隔。
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引用次数: 0
Distributed adaptive event-triggered consensus of switched nonlinear multi-agent systems with state and input delays 具有状态和输入延迟的交换式非线性多代理系统的分布式自适应事件触发共识
IF 3.9 4区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-08-16 DOI: 10.1002/acs.3899
Siwen Liu, Shi Li

In this article, for switched nonlinear time-delay multi-agent systems (MASs) under directed graphs, an adaptive event-triggered (ET) consensus problem is investigated. Each agent's switching signal is allowed to be arbitrary and asynchronous. To save communication resources, an adaptive ET consensus strategy is designed. In addition, the Pade approximation approach is introduced to transform the system into an input delay-free system. A Lyapunov–Krasovskii functional is employed to analyze the effect of time-varying delays on system stability. It is proved that the consensus errors of switched NMASs are bounded, and the Zeno behavior does not exist. Finally, the presented strategy's effectiveness is verified by simulation results.

摘要本文针对有向图下的交换式非线性时延多代理系统(MAS),研究了自适应事件触发(ET)共识问题。允许每个代理的切换信号是任意和异步的。为了节省通信资源,设计了一种自适应 ET 共识策略。此外,还引入了 Pade 近似方法,将系统转化为无输入延迟系统。利用 Lyapunov-Krasovskii 函数分析时变延迟对系统稳定性的影响。结果证明,交换式 NMAS 的共识误差是有界的,不存在 Zeno 行为。最后,模拟结果验证了所提出策略的有效性。
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引用次数: 0
期刊
International Journal of Adaptive Control and Signal Processing
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