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Performance-Specified Moving-Horizon State Estimation With Minimum Risk 具有最小风险的性能指定移动视界状态估计
Pub Date : 2018-06-01 DOI: 10.23919/ECC.2018.8550605
Elahe Aghapour, J. Farrell
This paper is concerned with the estimation of the state of a linear dynamic system when the measurements may contain outliers. The most common method for outlier detection utilizes the traditional Neyman-Pearson (NP) Kalman filter approach which ignores all residuals greater than a designer specified threshold. When measurements with outliers are used (i.e., missed detections), the estimated state becomes incorrect and the computed state error covariance is too small, yielding an over confidence in the estimator in the incorrect state estimate. When valid measurements are ignored, information is lost, but this is only critical if it causes the performance specification to be violated. In signal rich applications, with a large number of sensor measurements, a smaller subset of measurements than is accepted by the NP approach, could be able to achieve the specified level of performance with lower risk of including an outlier in the set of utilized measurements. In the moving-horizon approach used herein, the number of measurements available for state estimation is affected by both the number of measurements per time step and the number of time steps over which measurements are retained. This moving horizon, performance-specified, risk-averse state estimation approach will be formulated in an optimization setting that selects measurements from within the window, to achieve a specified level of performance while minimizing the incurred risk. Simulation results are included, which demonstrate the application of the technique and its enhanced performance and robustness to outliers relative to traditional methods.
本文研究了当测量值可能包含异常值时线性动态系统的状态估计问题。最常见的异常值检测方法是利用传统的内曼-皮尔逊(NP)卡尔曼滤波方法,该方法忽略所有大于设计人员指定阈值的残差。当使用带有异常值的测量(即,未检测到)时,估计的状态变得不正确,并且计算的状态误差协方差太小,从而在不正确的状态估计中产生对估计器的过度置信度。当有效的度量被忽略时,信息就会丢失,但是只有当它导致违反性能规范时,信息才会丢失。在信号丰富的应用中,有大量的传感器测量,比NP方法所接受的测量更小的测量子集,可以达到指定的性能水平,并且在所利用的测量集中包含异常值的风险更低。在本文使用的移动视界方法中,可用于状态估计的测量数受到每个时间步长的测量数和保留测量值的时间步长的影响。这种移动视界、性能指定、规避风险的状态估计方法将在优化设置中制定,从窗口内选择测量,以达到指定的性能水平,同时将产生的风险降至最低。仿真结果证明了该方法的应用,以及相对于传统方法提高的性能和对异常值的鲁棒性。
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引用次数: 4
Distributed coordination of energy-storage capacities in virtual microgrids 虚拟微电网中储能容量的分布式协调
Pub Date : 2018-06-01 DOI: 10.23919/ECC.2018.8550574
R. Brehm, M. H. Ramezani, J. Jouffroy
An approach for distributed coordinated scheduling of storage capacities is presented. When storage capacities are connected in the same grid, behind a common transformer substation, mutual charging and discharging can occur, which can be prevented by the herein introduced coordination method. When cooperation is incorported, storage capacities can be operated as a virtual microgrid. The cooperation between nodes is based on the formulation of a simple objective function for coordination. The cooperation objective is then combined with each node's local objective, which is the increase of self consumption, such that load is released off the the grid. A qualitative reflection on the practical use of three distributed algorithms, to solve the formulated optimisation problem is provided. The Jacobi algorithm is qualified to be preferable for large-scale networks with a great number of nodes, and the Gauss-Seidel algorithm is preferable when less nodes cooperate. To illustrate the concept and show the effect of coordination for prevention of mutual charginy/discharging of storage capacities in a VMG, two comparative case-study scenario are presented.
提出了一种分布式协调调度存储容量的方法。当存储容量在同一电网内并网时,在一个公用变电站的后面会发生相互充放电的情况,本文介绍的协调方法可以防止这种情况的发生。当合作被纳入,存储容量可以作为一个虚拟的微电网运行。节点之间的合作是基于一个简单的协调目标函数的公式。然后将合作目标与每个节点的本地目标(即增加自我消耗)相结合,从而将负载从网格中释放出来。对三种分布式算法的实际应用进行了定性反思,以解决公式化的优化问题。Jacobi算法适用于节点数量较多的大型网络,而Gauss-Seidel算法适用于节点数量较少的网络。为了说明这一概念,并展示协调对防止VMG中存储容量相互充放电的影响,提出了两个比较案例研究方案。
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引用次数: 1
On System Identification of Nonlinear State-Space Models Based on Variational Bayes: Multimodal Distribution Case 基于变分贝叶斯的非线性状态空间模型系统辨识:多模态分布情况
Pub Date : 2018-06-01 DOI: 10.23919/ECC.2018.8550599
A. Taniguchi, K. Fujimoto, Yoshiharu Nishida
In this paper, we propose a parameter estimation method for nonlinear state-space models based on the variational Bayes. It is shown that the variational posterior distribution of the hidden states is equivalent the probability estimated by a nonlinear smoother of an augmented nonlinear state-space model. This enables us to obtain the variational posterior distribution of the hidden states by implementing a variety of existing nonlinear filtering and smoothing algorithms. By employing a Gaussian mixture distribution as a candidate probability density function of the hidden states, we propose an algorithm to compute multimodal posterior distributions which are not able to be handled by the existing results.
本文提出了一种基于变分贝叶斯的非线性状态空间模型参数估计方法。结果表明,隐状态的变分后验分布等价于增广非线性状态空间模型的非线性平滑估计的概率。这使我们能够通过实现各种现有的非线性滤波和平滑算法来获得隐藏状态的变分后验分布。采用高斯混合分布作为隐藏状态的候选概率密度函数,提出了一种计算现有结果无法处理的多模态后验分布的算法。
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引用次数: 1
Distributed Secondary Frequency Control Design for Microgrids: Trading Off L2-Gain Performance and Communication Efforts under Time-Varying Delays 微电网的分布式二次频率控制设计:时变延迟下l2增益性能和通信努力的权衡
Pub Date : 2018-06-01 DOI: 10.23919/ECC.2018.8550506
Sultan Alghamdi, Johannes Schiffer, E. Fridman
Consensus algorithms are promising control schemes for secondary control tasks in microgrids. Since consensus algorithms are distributed protocols, communication efforts and time delays are significant factors for the control design and performance. Moreover, both the electrical and the communication layer in a microgrid are continuously exposed to exogenous disturbances. Motivated by this, we derive a synthesis for a consensus-based secondary frequency controller that guarantees robustness with respect to time-varying delays and in addition provides the option to trade off $L_{2}$ disturbance attenuation against the number of required communication links. The efficacy of the proposed approach is illustrated via simulations based on the CIGRE benchmark medium voltage distribution network.
共识算法是微电网二次控制任务的一种很有前途的控制方案。由于共识算法是分布式协议,通信努力和时间延迟是控制设计和性能的重要因素。此外,微电网中的电层和通信层都持续暴露于外源干扰中。基于此,我们推导了基于共识的二次频率控制器的合成,该控制器保证了时变延迟的鲁棒性,并且还提供了根据所需通信链路数量权衡L_{2}$干扰衰减的选项。基于CIGRE基准中压配电网的仿真验证了该方法的有效性。
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引用次数: 5
ECC 2018 Committees
Pub Date : 2018-06-01 DOI: 10.23919/ecc.2018.8550454
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引用次数: 0
Computing the distance to instability for delay systems with uncertainties in the system matrices and in the delay terms 计算具有系统矩阵和时滞项不确定的时滞系统的不稳定距离
Pub Date : 2018-06-01 DOI: 10.23919/ECC.2018.8550382
Francesco Borgioli, W. Michiels
In this paper we propose an algorithm to compute the distance to instability of a linear system of delay differential equations (DDEs) containing uncertainties in the delay terms as well as in matrices coefficients. For what regards the system matrices, any structure on the perturbation can be considered in order to allow only specific parameters to change; moreover, real-valued matrix perturbations are taken into account. The algorithm relies on the computation of the pseudospectral ab- scissa of the system and performs a bisection-Newton's method to find the minimum size of the perturbation that generates instability. A few illustrative examples, including a model for a rotating cutting machine, finally show the correctness and the efficiency of the method.
本文提出了一种计算线性时滞微分方程(DDEs)系统的不稳定性距离的算法,该系统包含时滞项和矩阵系数的不确定性。对于系统矩阵,可以考虑摄动上的任何结构,以便只允许特定参数改变;此外,还考虑了实值矩阵摄动。该算法依靠计算系统的伪谱ab- scissa,并采用对分牛顿法找到产生不稳定的扰动的最小大小。最后以旋转切割机模型为例,验证了该方法的正确性和有效性。
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引用次数: 8
On the Almost Global Stability of Invariant Sets 关于不变量集的概全局稳定性
Pub Date : 2018-06-01 DOI: 10.23919/ECC.2018.8550488
Özkan Karabacak, R. Wisniewski, J. Leth
For a given invariant set of a dynamical system, it is known that the existence of a Lyapunov-type density function, called Lyapunov density or Rantzer's density function, may imply the convergence of almost all solutions to the invariant set, in other words, the almost global stability (also called almost everywhere stability) of the invariant set. For discrete-time systems, related results in literature assume that the state space is compact and the invariant set has a local basin of attraction. We show that these assumptions are redundant. Using the duality between Frobenius-Perron and Koopman operators, we provide a Lyapunov density theorem for discrete-time systems without assuming the compactness of the state space or any local attraction property of the invariant set. As a corollary to this new discrete-time Lyapunov density theorem, we provide a continuous-time Lyapunov density theorem which can be used as an alternative to Rantzer's original theorem, especially where the solutions are known to exist globally.
对于一个给定的动力系统的不变集,已知Lyapunov型密度函数的存在性,称为Lyapunov密度或Rantzer密度函数,可能意味着不变集的几乎所有解的收敛,换句话说,不变集的几乎全局稳定(也称为几乎处处稳定)。对于离散时间系统,文献中的相关结果假设状态空间是紧致的,且不变集具有局部吸引盆地。我们证明这些假设是多余的。利用Frobenius-Perron算子和Koopman算子之间的对偶性,我们给出了离散时间系统的李雅普诺夫密度定理,而不假设状态空间的紧性和不变量集的任何局部吸引性质。作为这个新的离散时间李雅普诺夫密度定理的推论,我们提供了一个连续时间李雅普诺夫密度定理,它可以作为Rantzer原始定理的替代,特别是在已知解全局存在的情况下。
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引用次数: 15
A regularized Newton solver for linear model predictive control 线性模型预测控制的正则牛顿解算器
Pub Date : 2018-06-01 DOI: 10.23919/ECC.2018.8550438
A. Malyshev, R. Quirynen, A. Knyazev, S. D. Cairano
We investigate direct numerical solvers in linear model predictive control, where the prediction model is given by linear systems subject to linear inequality constraints on the state and the input, and the performance index is convex and quadratic. The inequality constraints are treated by the primal-dual interior-point method. We propose a novel direct solver based on the augmented Lagrangian regularization of a reduced Hessian. The new solver has the same arithmetic complexity as the factorized Riccati recursion. The direct solver can be implemented in terms of BLAS3 matrix operations.
研究了线性模型预测控制中的直接数值解,其中预测模型是由状态和输入受线性不等式约束的线性系统给出的,并且性能指标是凸二次的。用原对偶内点法处理不等式约束。提出了一种新的直接求解方法,该方法基于简化Hessian的增广拉格朗日正则化。新的求解器具有与分解的Riccati递归相同的算法复杂度。直接求解器可以根据BLAS3矩阵运算来实现。
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引用次数: 4
A Sparse ANN-based Fatigue Estimation for Wind Turbine Control based on NMPC 基于稀疏神经网络的风力机控制疲劳估计
Pub Date : 2018-06-01 DOI: 10.23919/ECC.2018.8550167
Julio Luna, S. Gros, Ole Falkenberg, A. Schild
In this paper, an Artificial Neural Network (ANN) methodology for estimating the tower fatigue of a wind turbine (WT) is developed. Specifically, the fatigue is estimated using an ANN that receives frequency-domain measurements of the tower base position and velocity. The frequencies are selected using an algorithm that detects the most relevant values and generates a sampling grid. The complexity of the ANN-based fatigue estimation is analysed to study the viability of its deployment in a real-time Nonlinear Model Predictive Control (NMPC) formulation.
本文提出了一种基于人工神经网络的风电机组塔架疲劳估计方法。具体来说,疲劳是使用人工神经网络来估计的,该人工神经网络接收到塔基位置和速度的频域测量。使用一种算法来选择频率,该算法检测到最相关的值并生成采样网格。分析了基于人工神经网络的疲劳估计的复杂性,研究了其在实时非线性模型预测控制(NMPC)中应用的可行性。
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引用次数: 0
On-line fuel-efficiency optimization of Diesel engines using constrained multivariable extremum-seeking 基于约束多变量极值求法的柴油机燃油效率在线优化
Pub Date : 2018-06-01 DOI: 10.23919/ECC.2018.8550156
R. V. D. Weijst, T. Keulen, F. Willems
Advanced control concepts are required to maximize the fuel-efficiency of Diesel engines and to comply with emission legislation. The aim of this paper is to develop a controller that fully utilizes the fuel-path and air-path hardware, and is adaptive for real-world disturbances. The control design comprises a feedback control system, which uses air-path actuators and fuel injection settings to robustly track engineout NOx emission and engine power demands, as well as two parameters that are known to influence the NOx emission versus fuel consumption trade-off; combustion phasing and pumping losses. Furthermore, an on-line implementable convex cost criterion is proposed that evaluates the injector opening time to obtain a cost output which is equivalent to fuel efficiency. A multivariable constrained extremum-seeking method is applied to minimize the cost output, as a function of combustion phasing and pumping losses, subject to constraints on the tracking performance of the low-level control system. The control design is implemented on a Euro-VI Diesel engine equipped with exhaust gas recirculation and a variable geometry turbine, as well as in-cylinder pressure sensors. The experiments demonstrate the effectiveness of the applied extremum-seeking approach in finding the (constrained) optimum, for a constant engine speed and torque.
先进的控制理念需要最大限度地提高柴油发动机的燃油效率,并符合排放法规。本文的目的是开发一种充分利用燃料路径和空气路径硬件的控制器,并能适应现实世界的干扰。控制设计包括一个反馈控制系统,该系统使用空气路径执行器和燃油喷射设置来稳健地跟踪发动机的氮氧化物排放和发动机功率需求,以及两个已知影响氮氧化物排放与燃油消耗权衡的参数;燃烧相位和泵送损失。在此基础上,提出了一种可在线实现的凸成本准则,用于评估喷油器开启时间,以获得与燃油效率相当的成本输出。在受底层控制系统跟踪性能约束的情况下,采用多变量约束极值寻优方法使成本输出作为燃烧相位和泵送损失的函数最小化。控制设计在配备废气再循环和可变几何涡轮以及缸内压力传感器的Euro-VI柴油发动机上实现。实验结果表明,在发动机转速和转矩不变的情况下,应用极值求法求解(约束)最优解是有效的。
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引用次数: 4
期刊
2018 European Control Conference (ECC)
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