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Interval predictor models with a formal characterization of uncertainty and reliability 具有不确定性和可靠性形式化表征的区间预测模型
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7040327
L. Crespo, D. Giesy, S. Kenny
This paper develops techniques for constructing empirical predictor models based on observations. By contrast to standard models, which yield a single predicted output at each value of the model's inputs, Interval Predictors Models (IPM) yield an interval into which the unobserved output is predicted to fall. The IPMs proposed prescribe the output as an interval valued function of the model's inputs, render a formal description of both the uncertainty in the model's parameters and of the spread in the predicted output. Uncertainty is prescribed as a hyper-rectangular set in the space of model's parameters. The propagation of this set through the empirical model yields a range of outputs of minimal spread containing all (or, depending on the formulation, most) of the observations. Optimization-based strategies for calculating IPMs and eliminating the effects of outliers are proposed. Outliers are identified by evaluating the extent by which they degrade the tightness of the prediction. This evaluation can be carried out while the IPM is calculated. When the data satisfies mild stochastic assumptions, and the optimization program used for calculating the IPM is convex (or, when its solution coincides with the solution to an auxiliary convex program), the model's reliability (that is, the probability that a future observation would be within the predicted range of outputs) can be bounded rigorously by a non-asymptotic formula.
本文发展了基于观测构建经验预测模型的技术。标准模型在模型的每个输入值上产生一个预测输出,与之相反,区间预测模型(IPM)产生一个预测未观察到的输出的区间。提出的ipm将输出规定为模型输入的区间值函数,对模型参数的不确定性和预测输出的分布进行了正式描述。不确定性被规定为模型参数空间中的超矩形集合。该集合通过经验模型的传播产生一系列最小扩展的输出,其中包含所有(或,取决于公式,大多数)观测值。提出了基于优化的ipm计算策略和排除异常值的影响。通过评估异常值降低预测严密性的程度来识别异常值。这种评估可以在计算IPM时进行。当数据满足温和的随机假设,并且用于计算IPM的优化程序是凸的(或者,当它的解与辅助凸程序的解相吻合时),模型的可靠性(即未来观测值在预测输出范围内的概率)可以由一个非渐近公式严格限定。
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引用次数: 21
ℋ−/ℋ∞ fault detection observer for switched systems 用于切换系统的h−/ h∞故障检测观测器
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7040417
Ahmad Farhat, D. Koenig
This paper addresses a method for fault detection (FD) by maximizing the fault to residual sensitivity. It uses the newly developed ℋ- index properties and minimizing the well known ℋ∞ norm for worst case disturbance attenuation. The fault detection problem is formulated as LMI feasibility problem in which a cost function is minimized subject to LMI constraints. This objective is coupled to a transient response specification expressed by eigenvalue assignment formulation. This approach is then studied for both proper and strictly proper systems. Sufficient conditions are also given to enhance the disturbance decoupling. The effectiveness of the proposed approach is shown by a numerical example.
本文提出了一种使故障对残差灵敏度最大化的故障检测方法。它利用新开发的h指数特性和最小化众所周知的h∞范数来进行最坏情况下的干扰衰减。将故障检测问题表述为LMI可行性问题,在LMI约束下最小化成本函数。这一目标是耦合到一个瞬态响应规范表示的特征值分配公式。然后对适当的和严格适当的系统研究这种方法。给出了增强扰动解耦的充分条件。算例表明了该方法的有效性。
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引用次数: 10
Emulated controller design for networked control systems implemented on FlexRay FlexRay网络控制系统的仿真控制器设计
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7040213
Wei Wang, D. Nešić, R. Postoyan
We design stabilizing controllers for nonlinear networked control systems (NCS) whose transmissions are scheduled by FlexRay. FlexRay protocol has been developed by the automotive industry to provide high bandwidth and deterministic communications. It works with communication cycles which consist of a static segment and a dynamic segment during which different scheduling rules are employed. We generalize existing emulated controller designs to be applicable to NCS with FlexRay. We start from a feedback law which stabilizes the origin of the plant when there is no network. We then present a novel hybrid model of the closed-loop system when the controller is implemented over a network scheduled by FlexRay. Afterwards, we provide conditions on the network under which the stability of the NCS is ensured. In particular, we consider segments of arbitrary lengths and we provide segment-dependent maximal allowable transmission interval bounds. The analysis relies on the construction of a new hybrid Lyapunov function. We believe that this work demonstrates the flexibility of the emulation approach and that it can be used to investigate other control problems for NCS with switched protocols.
针对FlexRay调度传输的非线性网络控制系统(NCS),设计了稳定控制器。FlexRay协议是由汽车行业开发的,用于提供高带宽和确定性通信。它适用于由静态段和动态段组成的通信周期,在此期间采用不同的调度规则。我们将现有的仿真控制器设计推广到适用于FlexRay的NCS。我们从一个反馈律开始,当没有网络时,它稳定了植物的起源。然后,当控制器在FlexRay调度的网络上实现时,我们提出了闭环系统的新型混合模型。然后,我们在网络上提供了保证网络控制系统稳定性的条件。特别地,我们考虑了任意长度的网段,并提供了与网段相关的最大允许传输间隔边界。该分析依赖于一个新的混合Lyapunov函数的构造。我们相信这项工作证明了仿真方法的灵活性,并且它可以用于研究具有交换协议的NCS的其他控制问题。
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引用次数: 5
Fault detection and isolation of vehicle dynamics sensors and actuators for an overactuated X-by-wire vehicle 超驱动x线传车辆动力学传感器和致动器的故障检测与隔离
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7040418
L. M. Ho, D. Ossmann
Model-based fault detection and isolation (FDI) for an overactuated mechatronic vehicle is presented. The linear single-track model is extend to reflect the layout of the overactuated vehicle as well as its longitudinal dynamics, and sensor and actuator faults are added into the model. The DLR Fault Detection Toolbox, which makes use of rational nullspace bases computation to design residual generators, is used for the systematic design of structured residuals. A minimum set of residuals is selected according to their robustness and ability to isolate faults. The fault detection and isolation system is validated in a simulation in connection with a double track model using the parameters of the ROboMObil prototype vehicle.
提出了一种基于模型的过驱动机电一体化车辆故障检测与隔离方法。将线性单轨模型进行扩展,以反映过驱动车辆的布局及其纵向动力学,并将传感器和执行器故障加入模型中。利用DLR故障检测工具箱,利用合理的零空间基计算来设计残差发生器,对结构化残差进行了系统设计。根据残差的鲁棒性和故障隔离能力选择最小残差集。利用ROboMObil原型车的参数,结合双轨模型对故障检测与隔离系统进行了仿真验证。
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引用次数: 10
State observer design for non linear coupled partial differential equations with application to radiative-conductive heat transfer systems 非线性耦合偏微分方程的状态观测器设计及其在辐射传导传热系统中的应用
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7039623
M. Ghattassi, M. Boutayeb, J. Roche
This contribution deals with state observer design for a class of nonlinear coupled PDE that describe radiative-conductive heat transfer systems. This approach uses first a stable spatial discretization technique that is the Galerkin method to obtain a large scale but finite dimensional system in a suitable form. Thanks to the special structure of the obtained state system, the second main result is to show through the differential mean value theorem (DMVT) that there always exists an observer gain matrix that assures asymptotic convergence. On the other hand, in order to avoid high computational requirements, we show how to construct the observer gain matrix so that the stability condition, written in terms of linear matrix inequality, is satisfied. Extension to H∞ performance analysis is also proposed. In order to show high accuracy of the proposed technique, a numerical example is provided.
这一贡献涉及一类描述辐射传导传热系统的非线性耦合偏微分方程的状态观测器设计。该方法首先使用稳定的空间离散化技术,即伽辽金方法,以适当的形式获得大尺度有限维系统。由于所获得状态系统的特殊结构,第二个主要结果是通过微分中值定理(DMVT)证明了总存在一个保证渐近收敛的观测器增益矩阵。另一方面,为了避免大量的计算需求,我们展示了如何构造观测器增益矩阵,以满足以线性矩阵不等式表示的稳定性条件。并将其推广到H∞性能分析。为了证明该方法具有较高的精度,给出了一个数值算例。
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引用次数: 2
Landing on a moving target using image-based visual servo control 利用基于图像的视觉伺服控制在运动目标上着陆
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7039721
P. Serra, R. Cunha, T. Hamel, David Cabecinhas, C. Silvestre
This paper addresses the problem of landing a Vertical Take-Off and Landing (VTOL) quadrotor using image-based visual servo control. Observable features on a flat target plane are exploited to derive a suitable control law. The kinematics of a VTOL quadrotor system are expressed in terms of an unnormalized spherical centroid of features and optical flow is used as velocity measurement for control. The dynamics with respect to the force input are dependent on the distance between the camera and the target plane, which is not measurable by a simple vision system. The proposed control law guarantees convergence without estimating any parameter related to the unknown distance, which is also guaranteed to remain strictly positive. Simulation and experimental results are provided to illustrate and assess the performance of the proposed controller.
采用基于图像的视觉伺服控制方法研究了垂直起降(VTOL)四旋翼飞机的着陆问题。利用目标平面上的可观测特征,推导出合适的控制律。采用非归一化球面特征质心表示垂直起降四旋翼系统的运动学,并采用光流作为速度测量方法进行控制。与力输入有关的动力学取决于相机与目标平面之间的距离,这是无法用简单的视觉系统测量的。所提出的控制律在不估计任何与未知距离有关的参数的情况下保证了收敛性,并保证了未知距离保持严格正。仿真和实验结果说明和评估所提出的控制器的性能。
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引用次数: 15
A linear consensus approach to quality-fair video delivery 对质量公平的视频传输的线性共识方法
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7040217
L. D. Col, S. Tarbouriech, L. Zaccarian, M. Kieffer
We consider the problem of delivering encoded videos to several mobile users sharing a limited wireless resource. The aim is to provide some fairness among the terminals in terms of utility, which is cast in the framework of discrete-time linear distributed consensus. To this end, the rate-utility characteristics of each stream is linearized, which allows to get necessary and sufficient conditions on the controller parameters to asymptotically reach the consensus. To prove our statement we also provide a general result on consensus of identical continuous- or discrete-time linear systems. Simulation results illustrate the effectiveness of the proposed approach.
我们考虑了向共享有限无线资源的多个移动用户传送编码视频的问题。其目的是在离散时间线性分布式共识的框架下,在效用方面提供终端之间的一些公平性。为此,对各流的速率-效用特性进行线性化处理,从而得到控制器参数渐近达到共识的充分必要条件。为了证明我们的说法,我们还提供了一个关于连续或离散时间线性系统一致性的一般结果。仿真结果验证了该方法的有效性。
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引用次数: 7
Implicit Lyapunov-Krasovski Functionals for time delay systems 时滞系统的隐式Lyapunov-Krasovski泛函
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7039543
A. Polyakov, D. Efimov, W. Perruquetti, J. Richard
The method of Implicit Lyapunov-Krasovski Functional (ILKF) for stability analysis of time-delay systems is introduced. Theorems on Lyapunov, asymptotic, fiite-time, fixed-time and (hyper-)exponential stability analysis using ILKF are presented. The hyper exponential stabilization algorithm for a time-delay system is developed. The theoretical results are supported by numerical simulations.
介绍了用于时滞系统稳定性分析的隐式Lyapunov-Krasovski泛函(ILKF)方法。给出了利用ILKF进行Lyapunov、渐近、有限时间、固定时间和(超)指数稳定性分析的定理。研究了一类时滞系统的超指数镇定算法。理论结果得到了数值模拟的支持。
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引用次数: 11
Piecewise smooth system identification in reproducing kernel Hilbert space 再现核希尔伯特空间中的分段光滑系统辨识
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7040408
Fabien Lauer, G. Bloch
The paper extends the recent approach of Ohlsson and Ljung for piecewise affine system identification to the nonlinear case while taking a clustering point of view. In this approach, the problem is cast as the minimization of a convex cost function implementing a trade-off between the fit to the data and a sparsity prior on the number of pieces. Here, we consider the nonlinear case of piecewise smooth system identification without prior knowledge on the type of nonlinearities involved. This is tackled by simultaneously learning a collection of local models from a reproducing kernel Hilbert space via the minimization of a convex functional, for which we prove a representer theorem that provides the explicit form of the solution. An example of application to piecewise smooth system identification shows that both the mode and the nonlinear local models can be accurately estimated.
本文采用聚类的观点,将Ohlsson和Ljung最近的分段仿射系统辨识方法推广到非线性情况。在这种方法中,问题被视为最小化凸代价函数,实现了对数据的拟合和对碎片数量的稀疏性之间的权衡。这里,我们考虑的非线性情况下的分段光滑系统辨识不涉及的非线性类型的先验知识。这是通过同时从一个复制核希尔伯特空间学习局部模型的集合来解决的,通过最小化一个凸泛函,我们证明了一个提供显式解形式的表示定理。一个应用于分段光滑系统辨识的实例表明,该方法既能准确估计模态模型,也能准确估计非线性局部模型。
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引用次数: 12
Optimal frequency separation of power sources by multivariable LPV/H∞ control: Application to on-board energy management systems of electric vehicles 多变量LPV/H∞控制的最优源频分离:在电动汽车车载能量管理系统中的应用
Pub Date : 2014-12-15 DOI: 10.1109/CDC.2014.7040271
W. Nwesaty, A. Bratcu, O. Sename
In this paper a multi-variable LPV/H∞ control approach is applied to design a strategy for power source coordination within a multi-source energy system. Three different kinds of power sources - fuel cell, battery and ultracapacitor - compose the power supply system of an electric vehicle. All sources are current-controlled and paralleled together with their associated DC-DC converters on a common DC-link coupled to vehicle's electrical motor and its converter. DC-link voltage must be regulated in spite of load power variations representing the driving cycle image. To this end, a MIMO LPV/H∞ provides the three current references so that each source operates in its most suitable frequency range as either high-energy-density or high-power-density source: low-frequency, the mean power is provided by the fuel cell, the ultracapacitor supplies/absorbs the instantaneous variations of power demand and the battery operates in between the two other sources. Selection of H∞ weighting functions is guided by a genetic algorithm whose optimization criterion expresses the frequency-separation requirements. The nonlinear multi-source system is simulated in MATLABP® /Simulink® using the driving cycle of IFSTTAR (Institut Français des Sciences et Technologies des Transports, de l'Aménagement et des Réseaux) as load profile, whose frequency content is richer than the one of Normalized European Driving Cycle (NEDC). Simulation results show good performance in supplying the load at constant DC-link voltage according to user-configured frequency-separation power sharing strategy.
本文采用多变量LPV/H∞控制方法设计多源能源系统中的电源协调策略。三种不同的电源——燃料电池、电池和超级电容器——组成了电动汽车的供电系统。所有的电源都是电流控制的,并与它们相关的DC-DC转换器在一个与汽车电机及其转换器耦合的公共dc链路上并联。直流电压必须调节,尽管负载功率的变化代表驱动周期图像。为此,MIMO LPV/H∞提供了三个电流参考,以便每个源在其最合适的频率范围内作为高能量密度或高功率密度源工作:低频,平均功率由燃料电池提供,超级电容器提供/吸收功率需求的瞬时变化,电池在两个其他源之间工作。采用遗传算法指导H∞权函数的选择,遗传算法的优化准则表达了频分要求。非线性多源系统在MATLABP®/Simulink®中采用IFSTTAR (Institut francaais des Sciences et Technologies des transport, de l' amam管理和管理系统)驱动周期作为负载曲线进行仿真,其频率含量比欧洲标准化驱动周期(NEDC)更丰富。仿真结果表明,根据用户配置的分频功率共享策略,在直流链路恒定电压下供电具有良好的性能。
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引用次数: 7
期刊
53rd IEEE Conference on Decision and Control
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