机器人系统有限时间自适应迭代学习控制

研究任意初态下，机器人系统的有限时间自适应迭代学习控制方法。引入初始修正吸引子的概念，构造一个含有初始修正项的误差变量。针对定常机器人系统和时变机器人系统，采用Lyapunov-like方法，分别设计迭代学习控制器处理系统中不确定性。并且，采用未含/含限幅学习机制，保证闭环系统各变量的一致有界性和误差变量在整个作业区间一致收敛性。藉以实现跟踪误差在预先指定区间的完全跟踪。仿真结果验证所设计控制方法的有效性。     

On the approximation of the canard explosion point in singularly perturbed systems without an explicit small parameter

A canard explosion is the dramatic change of period and amplitude of a limit cycle of a system of nonlinear ODEs in a very narrow interval of the bifurcation parameter. It occurs in slow–fast systems and is well understood in singular perturbation problems where a small parameter epsilon defines the time-scale separation. We present an iterative algorithm for the determination of the canard explosion point which can be applied for a general slow–fast system without an explicit small parameter. We also present assumptions under which the algorithm gives accurate estimates of the canard explosion point. Finally, we apply the algorithm to the van der Pol equations, a Templator model for a self-replicating system and a model for intracellular calcium oscillations with no explicit small parameters and obtain very good agreement with results from numerical simulations.     

具有外套管的释热元件表面温度求解

为进行具有外套管的释热元件的性能分析，需准确计算元件包壳外侧的温度分布。由于套管结构内外均存在流体，传热情况较为复杂，因此本文基于传热基本方程和能量守恒关系，设计开发了专用的迭代算法和计算程序求解该结构温度分布，并采用典型算例，将计算结果与Fluent软件仿真结果进行对比。结果表明，本文程序计算结果与Fluent软件仿真结果的相对误差小于5%。基于本算法编写的程序模块与燃料元件性能分析程序相耦合，可提高燃料性能分析流程的独立性。     

Multi-objective iterative optimization algorithm based optimal wavelet filter selection for multi-fault diagnosis of rolling element bearings

Rolling element bearings (REBs) play an essential role in modern machinery and their condition monitoring is significant in predictive maintenance. Due to the harsh operating conditions, multi-fault may co-exist in one bearing and vibration signal always exhibits low signal-to-noise ratio (SNR), which causes difficulties in detecting fault. In the previous studies, maximum correlated kurtosis deconvolution (MCKD) has been validated as an efficient method to extract fault feature in the fault signals. Nonetheless, there are still some challenges when MCKD is applied to fault detection owing to the rigorous requirements of multiple input parameters. To overcome limitation, a multi-objective iterative optimization algorithm (MOIOA) for multi-fault diagnosis is proposed. In this method, correlated kurtosis (CK) is taken as a criterion to select optimal Morlet wavelet filter using the whale optimization algorithm (WOA). Meanwhile, to further eliminate the effect of the inaccurate period on CK, the update process of period is incorporated. After that, the simulated and experimental signals are utilized to testify the validity and superiority of the MOIOA for multiple faults detection by the comparison with MCKD. The results indicate that MOIOA is efficient to extract weak fault features even with heavy noise and harmonic interferences.     

Design and validation of robotic bionic eye with multiple flexible ropes parallel mechanism inspired by oculomotor law

Producing a stable and agile bionic eye for visual image acquisition in robotics is a challenging task. In this paper, we design a bionic eye with mirror-symmetric distribution and cross-connection of flexible ropes. This mechanism is based on oculomotor law and the physiological structure of the extraocular muscles (EOMs). Specifically, the basic structural parameters are determined by Listing’s law, and the unique connection of the flexible ropes can realize the functions of the recti and oblique muscles. Furthermore, to mimic the trochlea structure, a pulley mechanism is constructed to permit the free movement of the flexible ropes. Through simulation and physical experiments, it is demonstrated that the bionic eye mechanism can move with agility under the structural parameters. The experimental results indicate that the proposed bionic eye mechanism has a superior motion accuracy of 2.798 mm, which is 6.7% of the maximum motion distance, and the repeatable accuracy of the mechanism can up to 0.210 mm.     

Rhombellation: a builder for multi-shell clusters

Rhombellanes are mathematical structures, proposed by us in 2017; they may appear both in periodic crystals or in finite structures. The simplest rhombellane is rbl.5 or K_2.3, the complete bipartite graph. In this paper, rhombellation operation is iteratively applied on three classes of structures: cube, tori and cubic pcu-network, respectively. The structural topological parameters are detailed.     

自适应步长FISTA算法稀疏脉冲反褶积

FISTA算法（fast iterative shrinkage-thresholding algorithm）采用线性搜索方法寻找最佳内部梯度的步长L，而线性搜索只能使L向增大的方向搜索，严重影响了FISTA算法的收敛性。为此，提出了一种基于自适应步长FISTA算法的稀疏脉冲反褶积方法，该方法在FISTA算法的基础上，通过在每一次迭代之前适当减小常数L，然后利用线性搜索的方式寻找最优的常数L，以达到自适应调整L的目的。为了使算法达到理论收敛，通过结合前、后两次的L，对传统FISTA算法的辅助序列进行修改，最终使整套算法在理论上得以收敛。理论模型与实际地震资料的处理、分析结果表明，所提方法具有更好的收敛性，能在不同信噪比下得到理想的反演结果，较常规FISTA算法具有更好的抗噪能力。     

单线激光雷达与GNSS/INS的空间重构

为了解决多线激光雷达在三维空间重构任务中数据吞吐量过大导致运算负担过重以及扫描俯仰范围有限的问题,本文提出了一种利用单线激光雷达与惯性测量单元GNSS/INS相互结合的多站点扫描空间重构方案及相应解算方法。首先使用单线激光雷达扫描待测空间获取三维尺度信息,然后将点云数据与对应的任意方向的航向角相结合,再利用四元数姿态解算获取各站点扫描的点云图像。为提高计算效率,使用迭代最近点算法实现站点间点云配准时,对待匹配点云数据筛选并更新。实验结果表明在保留点云数字特征前提下,单线激光雷达与GNSS/INS系统能够提高76%的运算速率。本文提出的硬件方案和解算方法不但能够实现较高的配准精度,与多线激光雷达方案相比工程成本也得到显著下降。     

LPNN-based approach for LASSO problem via a sequence of regularized minimizations

In compressive sampling theory, the least absolute shrinkage and selection operator (LASSO) is a representative problem. Nevertheless, the non-differentiable constraint impedes the use of Lagrange programming neural networks (LPNNs). We present in this article the -LPNN model, a novel algorithm that tackles the LASSO minimization together with the underlying theory support. First, we design a sequence of smooth constrained optimization problems, by introducing a convenient differentiable approximation to the non-differentiable -norm constraint. Next, we prove that the optimal solutions of the regularized intermediate problems converge to the optimal sparse signal for the LASSO. Then, for every regularized problem from the sequence, the -LPNN dynamic model is derived, and the asymptotic stability of its equilibrium state is established as well. Finally, numerical simulations are carried out to compare the performance of the proposed -LPNN algorithm with both the LASSO-LPNN model and a standard digital method.