Efficient Asymmetrical Extended Designs Under Wrap-Around <Emphasis Type="Italic">L</Emphasis><Subscript>2</Subscript>-Discrepancy

The purpose of the present article is to introduce a class of mixed two- and three-level extended designs obtained by adding some new runs to an existing mixed two-and three-level design. A formulation of wrap-around L₂-discrepancy for the extended designs is developed. As a benchmark of obtaining (nearly) uniform asymmetrical extended designs, a lower bound to the wrap-around L₂-discrepancy for our proposed designs is established. Thorough numerical results are displayed, which provide further corroboration to the derived theoretical results.     

Effective Lower Bounds of Wrap-Around L_2-Discrepancy on Three-Level Combined Designs

How to obtain an effective design is a major concern of scientific research. This topic always involves high-dimensional inputs with limited resources. The foldover is a quick and useful technique in construction of fractional designs, which typically releases aliased factors or interactions.This paper takes the wrap-around L_2-discrepancy as the optimality measure to assess the optimal three-level combined designs. New and efficient analytical expressions and lower bounds of the wraparound L_2-discrepancy for three-level combined designs are obtained. The new lower bound is useful and sharper than the existing lower bound. Using the new analytical expression and lower bound as the benchmarks, the authors may implement an effective algorithm for constructing optimal three-level combined designs.     

Effective lower bounds of wrap-around <Emphasis Type="Italic">L</Emphasis><Subscript>2</Subscript>-discrepancy on three-level combined designs

How to obtain an effective design is a major concern of scientific research. This topic always involves high-dimensional inputs with limited resources. The foldover is a quick and useful technique in construction of fractional designs, which typically releases aliased factors or interactions. This paper takes the wrap-around L₂-discrepancy as the optimality measure to assess the optimal three-level combined designs. New and efficient analytical expressions and lower bounds of the wraparound L₂-discrepancy for three-level combined designs are obtained. The new lower bound is useful and sharper than the existing lower bound. Using the new analytical expression and lower bound as the benchmarks, the authors may implement an effective algorithm for constructing optimal three-level combined designs.     

网格计算资源调度方案及其Petri网建模与分析

通过对现有网格计算资源调度方案的分析,提出了网格计算资源的三层调度方案,该方案与已有的方案相比,更能体现网格资源的特点。利用Petri网这一具有描述并发、异步、动态等事件能力的图形与数学工具,对所提出的调度方案进行了模拟与分析。为不同层次的调度者构造了不同的扩展有色时延Petri网模型,并利用Petri网的共享合成技术得到整个系统的Petri网模型。同时给出了资源调度所对应的Petri网的可达任务图的概念,利用可达任务图,分析了诸如吞吐量、负载平衡、调度时间等资源调度的一些重要特性。     

Exponential L_1 Filtering of Networked Linear Switched Systems: An Event-Triggered Approach

The issues of event-triggered exponential L_1 filtering are studied for a class of networked linear switched systems. An event-triggered mechanism is proposed to enhance resource utilization in transmission, and save the communication cost of systems as well. Then, the filtering error system is reconstructed as a switched delay system with bounded disturbance through the input delay system approach. By resorting to the Lyapunov-Krasovskii functional approach and the average dwell time(ADT) technique, some interesting results are derived to guarantee the exponential stability with a prescribed L_1 disturbance rejection level. Further, an event-triggered exponential L_1 filter is designed via solving a set of feasible linear matrix inequalities(LMIs). Finally, the efficiency of the proposed results is verified through a numerical example and a PWM-driven boost converter circuit system.     

基于观测器的一类不确定非线性系统自适应输出反馈控制

针对一类不确定非线性系统,基于非线性状态观测器采用回馈递推(Backstepping)设计方法提出了一种鲁棒自适应L2增益控制方案。该控制方案首先对系统的不可观测状态设计非线性状态观测器,在此基础上通过多步递推得到系统的控制律并设计了未知干扰的参数自适应律,使系统具有L2增益性能。同时把采用常规设计方法需要对过多参数进行辨识问题简化为只需对与未知干扰个数相同的参数进行辨识的问题,简化了控制器结构。最后通过仿真算例验证了所设计控制方案的有效性。     

Event-Triggered L1-Gain Control of Nonlinear Positive Switched Systems

This paper is concerned with the event-triggered L_1-gain control of a class of nonlinear positive switched systems. First, an event-triggering condition in the form of 1-norm is presented for the systems. By virtue of the event-triggering strategy, the original system is transformed into an interval uncertain system. An event-triggered L_1-gain controller is designed by decomposing the controller gain matrix into the sum of nonnegative and non-positive components. Under the design controller, the resulting closed-loop systems are positive and L_1-gain stable. The obtained approach is developed for the systems subject to input saturation. All presented conditions are solvable in terms of linear programming. Finally, two examples are provided to verify the effectiveness of the design.     

具有末端角约束的鲁棒制导律设计

针对某些导弹要求限制命中点角度的作战要求,设计了具有末端角度约束的制导律。将系统结构摄动和目标加速度视为外部干扰量,基于Lyapunov稳定性理论推导了一种满足L2增益指标的鲁棒制导律。仿真表明,当目标以较大加速度机动时仍然能满足末端角度和精度的要求,并且不需要任何目标运动信息,对目标机动有较好的鲁棒性。     

二次D稳定约束下不确定T-S模糊系统的L∞鲁棒可靠控制

针对一类受持续有界扰动的T-S不确定模糊系统,提出了考虑执行器故障的鲁棒可靠控制器设计方法。引入基于L_∞范数理论的鲁棒性能指标及二次D稳定的概念,给出了鲁棒可靠控制器存在的充分条件。通过求解线性矩阵不等式完成可靠控制器的设计,从而使系统即使在发生执行器故障的情况下仍能满足给定的L_∞性能指标,并且闭环系统二次D稳定。仿真实例表明了本方法的有效性。     

不确定非线性系统的二次稳定新方法

针对一类不确定非线性系统, 采用模糊技术, 提出了一种新的二次稳定控制方案. 应用模糊T-S模型和模糊逻辑系统对非线性系统建模, 所设计的模糊控制器使得闭环系统二次稳定并满足期望的L₂范数界. 该方案的主要优点是不对逼近误差和不确定性做约束假设. 仿真结果表明了该方案的可行性.     

Hierarchical Control for Large-Scale Systems

1. INTRODVCTIONSeveral hierarchical or muli-1evel optidrization approaches have been aPplied to large--sca1e colltro1 problemsduring the last three decades. The theoretical development of decomposition and co--ordination has grownby leaps and bounds [1] and many successful applications have been reported [2]. Recently, the multi-leveloptimization aPproach has benn extended illto large-scale multi--objective system [3, 4]. Most of the muli-level optimization approaches have, however, been…     

航线网络区间型相对鲁棒优化设计

枢纽航线网络的设计参数如果发生变化,最优的航线网络可能也发生变化,此时航线网络缺乏鲁棒性.为增强枢纽航线网络的鲁棒性,引进区间型设计参数情形集,建立了区间型枢纽航线网络相对鲁棒优化模型,修正了最短路算法,并与模拟退火法相结合,设计了模型的混合求解算法.最后,采用航线网络设计的经典数据集进行了算例仿真,结果表明相对于确定性优化设计和离散型鲁棒优化设计的方法,该方法获得的枢纽航线网络具有更强的鲁棒性.     

变量耦合下大规模规划的三级分解模型及其协调算法

本文针对变量耦合下的一类大规模数学规划问题，给出了其三级分解模型，并讨论了三级模型的协调求解算法。     

面向应急观测的虚拟星座任务规划技术

虚拟星座为充分利用卫星资源提供了一种高效的解决方案。首先研究设计了任务与资源管理、任务与资源匹配、协调与任务规划的三层协调运行机制,建立了基于多智能体的三层动态交互式体系结构模型;然后通过基于改进合同网协议算法模型,研究虚拟卫星协同任务的招标对象筛选策略、协商合同投标方法、协商合同评标方法;最后针对海上目标监视搜索场景构建仿真实验用例,仿真结果验证了虚拟星座的运行机制和体系结构的合理性、可行性与基于扩展合同网协议的虚拟星座任务规划算法的有效性和正确性。     

FUZZY MODELS FOR ESTIMATION OF SURFACE GROUND SUBSIDENCE

In this paper,the mathematical theory of fuzzy probability is used for theproblems of rock mass mechanics due to excavation,especially mining.A mathematicalmodel is developed for the movement and deformation of rock mass on the basis of theassumption that the displacement and deformation of rock mass is a fuzzy event,and fromthis model theoretical formulas are derived for calculating the displacement of rock massdue to excavationThe theories of both the two-and three-dimensional problems are developed and appliedto the analysis of engineering problems in excavation.The agreement of the theoreticalresults with the field measurements shows that our model is satisfactory and the formulaeobtained are valid and thus can be effectively used for predicting the displacements anddeformations and the safety evaluation of the buildings on the ground surface.     

不确定离散时滞控制饱和系统L2增益分析设计

针对离散时间不确定含时滞和控制饱和系统的镇定和干扰抑制问题,提出了状态反馈和抗饱和动态输出反馈方法。该方法利用Lyapunov函数可获得时滞相关的线性矩阵不等式。线性矩阵不等式条件可保证不确定闭环系统的无干扰时鲁棒内稳定性和在某椭球内预先给定的有干扰时L2性能水平。通过把状态反馈增益视为一自由参数,利用所得到的优化问题给出了控制器设计的具体步骤,通过仿真算例证明该方法的有效性。     

多响应三水平部分因子试验设计的建模与优化

针对多响应三水平部分因子试验,当筛选试验中候选变量个数大于试验样本数时,本文提出了一种考虑因子效应原则的建模与优化方法.首先,构建三水平对照试验,并结合二元变量指示器构建Bayesian Lasso模型;其次,根据因子效应原则,分三个阶段逐步更新二元变量指示器的先验信息,并利用变量指示器的后验概率来识别显著性变量,确定模型结构;然后,在此基础上结合贝叶斯抽样技术构建多变量过程能力指数函数,并通过最大化该函数获得最佳的参数设计值;最后,实际案例的结果表明:本文所提方法不仅能够有效地筛选出多响应三水平部分因子试验的显著性变量,而且能够获得最佳的参数设计值.     

Uniformity Pattern of Asymmetric Fractional Factorials

The objective of this paper is to discuss the issue of the projection uniformity of asymmetric fractional factorials. On the basis of Lee discrepancy, the authors define the projection Lee discrepancy to measure the uniformity for low-dimensional projection designs. Moreover, the concepts of uniformity pattern and minimum projection uniformity criterion are proposed, which can be used to assess and compare two and three mixed levels factorials. Statistical justification of uniformity pattern is also investigated.     

On Construction of Optimal Two-Level Designs with Multi Block Variables

When running an experiment, inhomogeneity of the experimental units may result in poor estimations of treatment effects. Thus, it is desirable to select a good blocked design before running the experiment. Mostly, a single block variable was used in the literature to treat the inhomogeneity for simplicity. However, in practice, the inhomogeneity often comes from multi block variables. Recently, a new criterion called B²-GMC was proposed for two-level regular designs with multi block variables. This paper proposes a systematic theory on constructing some B²-GMC designs for the first time. Experimenters can easily obtain the B²-GMC designs according to the construction method. Pros of B²-GMC designs are highlighted in Section 4, and the designs with small run sizes are tabulated in Appendix B for practical use.     

Application of Hierarchical Optimal Control Theory to Coordinative Management for Water Resources Utilization and Regional Economic Development

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