Robust consensus for uncertain multi‐agent systems with discrete‐time dynamics

This paper investigates robust consensus for multi‐agent systems with discrete‐time dynamics affected by uncertainty. In particular, the paper considers multi‐agent systems with single and double integrators, where the weighted adjacency matrix is a polynomial function of uncertain parameters constrained into a semialgebraic set. Firstly, necessary and sufficient conditions are provided for robust consensus based on the existence of a Lyapunov function polynomially dependent on the uncertainty. In particular, an upper bound on the degree required for achieving necessity is provided. Secondly, a necessary and sufficient condition is provided for robust consensus with single integrator and nonnegative weighted adjacency matrices based on the zeros of a polynomial. Lastly, it is shown how these conditions can be investigated through convex programming by exploiting linear matrix inequalities and sums of squares of polynomials. Some numerical examples illustrate the proposed results. Copyright © 2013 John Wiley & Sons, Ltd.     

蚁群优化算法在求解随机组合优化问题中的应用综述*

不确定条件下的优化问题更贴近真实世界环境,因而日益受到广泛关注。综述了蚁群优化在求解一组不确定条件下的组合优化问题,即随机组合优化问题方面的应用。首先介绍了不确定条件下组合优化问题的概念分类模型,给出了随机组合优化问题的一般定义;然后指出了其与求解传统确定性组合优化问题的不同之处,即目标函数的计算存在不确定性,并详细论述了目前解决方法的进展;最后分析了该领域值得重点关注的几个研究方向,并对其未来发展进行了展望。     

一类结构不确定非线性系统的鲁棒镇定

基于鲁棒控制Lyapunov函数,首先给出一个函数为鲁棒控制Lyapunov函数的等价条件,进而获得该类系统可鲁棒稳定、可鲁棒实用稳定、可鲁棒渐近稳定的充分条件,并构造了与之相应的逐点最小范数的连续状态反馈控制律.仿真实例说明了所采用方法的有效性.     

Reserve estimation of an open pit mine under price uncertainty by real option approach

Reserve estimation is a key to find the correct NPV in a mining project. The most important factor in reserve estimation is the metal price. Metal price fluctuations in recent years were exaggerated, and imposed a high degree of uncertainty to the re-serve estimation, and in consequence to the whole mine planning procedure. Real option approach is an efficient method of deci-sion making in the uncertain conditions. This approach has been used for evaluation of defined natural resources projects until now. This study considering the metal price uncertainty used real option approach to prepare a methodology for reserve estimation in open pit mines. This study was done on a copper cylindrical deposit, but the achieved methodology can be adjusted for all kinds of deposits. This methodology was comprehensively described through the examples in such a manner that can be used by the mine planners.     

混凝土坝裂缝变形的不确定性分析模型

混凝土坝裂缝的发生和发展受到不确定因素影响。将大坝系统及其安全监控看作一个受诸多因素影响的不确定性系统,结合裂缝实测资料,应用近似推理模型和信息分配法,建立了裂缝变形的不确定性分析模型。     

液压千斤顶测量不确定度的评定方法

在研究液压千斤顶不确定度的影响因素的基础上,提出了液压千斤顶标准不确定度的分量估计,建立其函数关系;通过实例重点讨论了液压千斤顶不确定度评定的方法及步骤.     

贝叶斯网络在模型诊断中的应用

把贝叶斯网络引入到模型诊断框架中,依据观测量,研究了一种建立系统贝叶斯网络观测模型的方法。利用网络观测模型,可计算系统诊断解的后验概率,从而找出系统最可能的故障组件。最后,以卫星两轴姿态控制系统为例,应用本文方法进行了分析。     

民用建筑工程室内空气中氨的测量不确定度评定

民用建筑工程室内空气中氨的测定采用国家标准《公共场所空气中氨测定方法》GB/T18204.25-2000进行。分析了不确定度分量的来源及评定,确定了各不确定度分量值与灵敏度系数,求得了空气中氨含量测定的扩展不确定度。     

考虑入库洪水不确定性的三峡水库汛限水位动态控制域研究

汛限水位动态控制域是水库实施汛限水位动态控制的基础与关键.考虑影响防洪调度风险的最重要风险源,即入库洪水预报误差及洪水过程线形状的不确定性,提出风险约束条件及其量化分析方法.将入库洪水不确定性、风险分析与汛限水位动态控制域的确定过程有机结合起来,利用预泄能力约束法和Monte-Carlo模拟方法推求三峡水库汛限水位动态控制域.在不增加防洪风险的前提下,三峡水库实施汛限水位动态控制可有效地提高中小洪水资源的利用效率,利用1～3 d的洪水预报信息,三峡水库汛期可增发电量6.99×108～14.45×108kW·h.研究方法对其他水库实施汛限水位动态控制也有借鉴意义.     

带参数扰动非线性系统的变结构控制

考虑了带系统参数扰动的非线性时变系统的变结构控制的设计问题.首先,给出了一个状态决定的微分Ricatti方程,在一定的假设条件下,该Ricatti方程可解;其次,由此Ricatti方程的解,设计出系统的滑动区域,在此滑动区域内,给出系统的控制律,在滑动区域外,此控制律在有限时间内将系统轨迹拉入滑动区域,而在系统之外,此...