Robust observer design for nonlinear uncertain switched systems under asynchronous switching

Switching between the system and the associated observer or controller is in fact asynchronous in switched control systems. However, many times we assume it synchronous, for simplicity. In this paper, the robust observer design problems for a class of nonlinear uncertain switched systems for synchronous and asynchronous switching are addressed. At first, a robust observer under synchronous switching is proposed based on average dwell time approach. After that, the results are extended to robust observer design in the asynchronous case. In this case, two working modes are adopted to facilitate the studies on the issue. Finally, an extension case covering more practical applications is investigated under asynchronous switching. The designed observer cannot maintain the asymptotical stability of error state, but the eventual boundness is guaranteed. At the end, a numerical design example is given to illustrate our results.     

矩阵多分裂迭代法的收敛条件

本文给出了求解非奇异线性方程组的矩阵多分裂并行迭代法的一些新的收敛结果.当系数矩阵单调和多分裂序列为弱正则分裂时,得到了几个与已有的收敛准则等价的条件,并且证明了异步迭代法在较弱条件下的收敛性.对于同步迭代,给出了与异步迭代不同且较为宽松的收敛条件.     

A new stopping criterion for linear perturbed asynchronous iterations

A new stopping criterion is proposed for asynchronous linear fixed point methods in finite precision. The case of absolute error is considered. The originality of this stopping criterion relies on the fact that all tests are made within the same macroiteration.     

一类推广的拟牛顿多进程异步并行方法

本文通过近似雅可比矩阵Bk代替雅可比矩阵F′(xk),运用多进程异步并行方法求解非线性方程组。该方法在保持解的精度的情况下,缩短了运行时间和迭代步数。文中给出了算法收敛性的证明及八个非线性方程组的数值测试结果,表明该算法是可行的和快速的。     

A class of asynchronous multisplitting two-stage iterations for large sparse block systems of weakly nonlinear equations

For the block system of weakly nonlinear equations Ax=G(x), where is a large sparse block matrix and is a block nonlinear mapping having certain smoothness properties, we present a class of asynchronous parallel multisplitting block two-stage iteration methods in this paper. These methods are actually the block variants and generalizations of the asynchronous multisplitting two-stage iteration methods studied by Bai and Huang (Journal of Computational and Applied Mathematics 93(1) (1998) 13–33), and they can achieve high parallel efficiency of the multiprocessor system, especially, when there is load imbalance. Under quite general conditions that is a block H-matrix of different types and is a block P-bounded mapping, we establish convergence theories of these asynchronous multisplitting block two-stage iteration methods. Numerical computations show that these new methods are very efficient for solving the block system of weakly nonlinear equations in the asynchronous parallel computing environment.     

Synchronous and asynchronous solution of a 3D transport model in a grid computing environment

Numerical simulation is a common approach to understand many phenomena, usually yielding a computationally intensive problem. To overcome insufficient computer capacity and computational speed, a grid computing environment is a suitable approach. In this paper we focus on the development of parallel algorithms to solve a 3D transport model in such a context. The solver is based on the multisplitting Newton method that provides a coarse-grained scheme. Algorithms are implemented using JACE, a grid-enabled Java Asynchronous Computing Environment. This programming environment allows users to design synchronous and asynchronous parallel iterative algorithms as well. Experiments are carried out on a heterogeneous grid environment in which the behaviour of both parallel iterative algorithms is analysed. The results allow us to draw some conclusions about the use of the programming library JACE and the design of parallel iterative algorithms in a grid computing environment.     

Parallel asynchronous focal plane array processing

A new approach to focal plane processing based on silicon injection mode devices is suggested. These devices provide a natural basis for parallel asynchronous focal plane image preprocessing. The simplicity and novel properties of the devices would permit an independent analog processing channel to be dedicated to every pixel. A laminar architecture built from arrays of the devices would form a two-dimensional (2-D) array processor with a 2-D array of inputs located directly behind the focal plane detector array. A 2-D image data stream would propagate in neuronlike asynchronous pulse coded form through the laminar processor. No multiplexing, digitization or serial processing would occur in the preprocessing stage. High performance is expected because approximately linear pulse coding has already been observed for input currents ranging over six orders of magnitude down to one picoampere with noise referred to input of about 10 femtoamperes. Very low power requirements suggest utility in space and in conjunction with very large arrays. Multispectral processing is possible because of compatibility with the cryogenic environment of high performance infrared detectors.     

基于PCIe总线的双路1394B接口模块设计与实现

为了满足航电系统中前端传感器捕获的图形图像数据实时传输的需求,设计并实现了基于PCIe总线的双路1394B接口模块。该模块通过PCIe接口与主机交互,采用S400β传输模式,软件设计符合标准OHCI规范,支持AS5643协议,异步流包数据收发采用链式队列管理,主机与1394B控制器之间通过DMA操作,实现大数据块的并行处理,两路1394B相互独立,显著提升数据传输性能。测试验证结果表明,该模块具备带宽高、可靠性高、CPU资源占用率低等特点,已在某项目获得成功应用,实现了图形图像数据的实时传输,满足系统设计要求,表现出了良好的稳定性和适应性,具有实践应用价值。     

UOOC平台与腾讯课堂相结合的“在线异步教学”

The COVID-19 broke out on a large scale, and online teaching became the first choice for teachers. Avoiding network congestion and ensuring learning effects are the dilemmas faced by online teaching. With the help of the UOOC platform and the Tencent Classroom, taking the "Polymer Structure and Performance" course as a sample, we suggested a new "online asynchronous teaching" model. Among them, the SPOC course is convenient for students to manage their learning time; "Chapter Quiz" and "Student-to-Student Mutual Evaluation" are helpful for students to obtain multi-angle feedback; project tasks are focused on case analysis so that students carry out inquiry-based learning. Overall, the "online asynchronous teaching" model breaks the time and space restrictions on teaching and learning, guarantees the quality of teaching during the epidemic, and lays the foundation for creating a "golden class".