一种基于4对图像对应点的欧氏重建方法

摄像机自标定算法通常是非线性的，为了得到线性的方法，提出了一种在RANSAC框架下由4对图像对应点线性标定摄像机并对场景进行鲁棒性欧氏重建的方法。当摄像机作两组平移运动时，若在两组平移运动之间摄像机具有不同的姿态，则从4对图像对应点可以线性地重建场景的欧氏几何。模拟实验和真实图像实验均证明了本文方法的可行性。     

Identification of piecewise affine systems via mixed-integer programming

This paper addresses the problem of identification of hybrid dynamical systems, by focusing the attention on hinging hyperplanes and Wiener piecewise affine autoregressive exogenous models, in which the regressor space is partitioned into polyhedra with affine submodels for each polyhedron. In particular, we provide algorithms based on mixed-integer linear or quadratic programming which are guaranteed to converge to a global optimum. For the special case where the estimation data only seldom switches between the different submodels, we also suggest a way of trading off between optimality and complexity by using a change detection approach.     

Non-linear semi-group theory and stability for infinite dimensional systems†

Non-linear semi-group theory and finite time stability are investigated for a class of non-linear partial differential equations of the parabolic type. A correlation between the finite time stability and stability with respect to an equivalent norm has been established for an unperturbed motion on a Banach space.     

On the existence,uniqueness and nature of Carathéodory and Filippov solutions for bimodal piecewise affine dynamical systems

In this paper, we deal with the well-posedness (in the sense of existence and uniqueness of solutions) and nature of solutions for discontinuous bimodal piecewise affine systems in a differential inclusion setting. First, we show that the conditions guaranteeing uniqueness of Filippov solutions in the context of general differential inclusions are quite restrictive when applied to bimodal piecewise affine systems. Later, we present a set of necessary and sufficient conditions for uniqueness of Filippov solutions for bimodal piecewise affine systems. We also study the so-called Zeno behavior (possibility of infinitely many switchings within a finite time interval) for Filippov solutions.     

Generalized hybrid control synthesis for affine systems using sequential adaptive networks

BACKGROUND: A generalized methodology for the synthesis of a hybrid controller for affine systems using sequential adaptive networks (SAN) is presented. SAN consists of an assembly of neural networks that are ordered in a chronological sequence, with one network assigned to each sampling interval. Using a suitable process model based on oxygen metabolism and an a priori objective function, a hybrid control law is derived that can use online measurements and the states predicted by SAN for computing the desired control action. RESULTS: The performance of the SAN–hybrid controller is tested for simulated fed‐batch production of methionine for three different process conditions. Simulations assume that online measurements of dissolved oxygen (DO) concentration are available. The performance of the SAN–hybrid controller gave an NRMSE of ～10^?4 in the absence of noise, ～10^?3 and ～10^?2 for ± 5% and ± 10% noise in the DO measurement and ～10^?2 for parameter uncertainty when compared with the ideal model prediction. CONCLUSIONS: The observed performance for unmeasured state prediction and control implementation shows that the proposed SAN–hybrid controller can efficiently compute the manipulated variable required to maintain methionine production along the optimized trajectory for different conditions. The test results show that the SAN–hybrid controller can be used for online real‐time implementation in fed‐batch bioprocesses. Copyright © 2009 Society of Chemical Industry     

采用仿射不变矩的谐振接地系统故障选线方法研究

对谐振接地系统单相接地故障特征的分析表明,单相接地初始阶段故障线路与健全线路间的零序电流波形相似度低于各健全线路间的零序电流波形相似度,且故障初始时刻故障线路与健全线路的零序电流极性相反,高阻接地时该结论仍成立。仿射不变矩恰能反映各零序电流波形的整体形状特征和极性关系,且不受波形平移、旋转和缩放等仿射变换的影响,抗干扰能力强。对从各故障暂态零序电流波形图中提取的仿射不变矩特征量进行谱系聚类分析,并计算聚类有效性指标,选取聚类有效性最高的聚类树实现故障选线。各种故障工况的大量仿真表明,该选线方法适应性好,可靠性高。     

基于无噪后验错误矢量信号能量的变正则因子仿射投影算法

变正则因子技术是提高仿射投影自适应算法性能的重要方法之一.由于环境噪声的影响,现有的变正则因子自适应算法收敛速度较慢且稳态误差较大,各种测量、评估误差的存在进一步恶化了算法性能.为提高自适应算法的跟踪性能,本文在分析无噪先验错误矢量、无噪后验错误矢量和额外均方错误间关系的基础上,提出通过最小化无噪后验错误矢量信号能量来推导自适应变正则因子表达式的方法.在实践应用中,该方法利用了测量噪声的统计方差特性,并提出一种更加光滑且更加容易控制的指数缩放因子评估方法.系统辨识的仿真结果表明本文方法与传统的变正则因子方法以及变步长方法相比有更快的收敛速度与更低的稳态误差.     

图像椭圆扁度不变性及其在仿射不变量构造中的应用

针对传统基于面积比不变的仿射不变量方法具有的特征点选取不稳定且有冗余以及区域面积误差累积等特点,提出了一种基于图像椭圆扁度划分策略的仿射不变量构造方法。介绍了图像仿射变换模型,得到了图像仿射近似条件。结合图像椭圆扁率定义,依据不变矩理论证明了仿射变换下图像扁率的不变性。给出了图像扁度的定义及其物理含义,并以此作为图像同心圆划分依据,选取三阶以下仿射不变矩作为图像特征量,通过计算各同心圆区域的仿射不变量描述图像目标。将提出的方法应用于实际舰船图像并结合离散系数对其稳定性进行了分析。结果表明:同一舰船目标各种仿射变换图像计算所得扁度相同,所在划分特征圆区域仿射不变量离散系数最大为1.55%。得到的结果显示该方法对目标图像的特征区域划分具有唯一性,构造的仿射不变特征稳定性较好。     

Fault detection and identification for a class of continuous piecewise affine systems with unknown subsystems and partitions

This paper establishes a novel online fault detection and identification strategy for a class of continuous piecewise affine (PWA) systems, namely, bimodal and trimodal PWA systems. The main contributions with respect to the state‐of‐the‐art are the recursive nature of the proposed scheme and the consideration of parametric uncertainties in both partitions and in subsystems parameters. In order to handle this situation, we recast the continuous PWA into its max‐form representation and we exploit the recursive Newton‐Gauss algorithm on a suitable cost function to derive the adaptive laws to estimate online the unknown subsystem parameters, the partitions, and the loss in control authority for the PWA model. The effectiveness of the proposed methodology is verified via simulations applied to the benchmark example of a wheeled mobile robot.