Decentralized robust guaranteed cost control for a class of interconnected singular large-scale systems with time-delay and parameter uncertainty

The decentralized robust guaranteed cost control problem is studied for a class of interconnected singular large-scale systems with time-delay and norm-bounded time-invariant parameter uncertainty under a given quadratic cost performance function. The problem that is addressed in this study is to design a decentralized robust guaranteed cost state feedback controller such that the closed-loop system is not only regular, impulse-free and stable, but also guarantees an adequate level of performance for all admissible uncertainties. A sufficient condition for the existence of the decentralized robust guaranteed cost state feedback controllers is proposed in terms of a linear matrix inequality (LMI) via LMI approach. When this condition is feasible, the desired state feedback decentralized robust guaranteed cost controller gain matrices can be obtained. Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed approach.     

具有控制约束的不确定离散时滞系统最优保性能控制

对一类具有范数有界时变参数不确定性和控制输入约束的离散时滞系统,研究其最优保性能状态反馈控制律的设计问题.基于线性矩阵不等式处理方法,导出了保性能控制律存在的条件,并证明了该条件等价于一组线性矩阵不等式的可行性问题,并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示.进而,通过建立并求解一个凸优化问题,给出了具有控制约束的最优保性能控制律设计方法.     

Distributed design of approximately optimal controller for identical discrete-time multi-agent systems

This paper considers the distributed control of the LQR problem for discrete-time multiagent systems. Distributed controllers are designed based on the solutions of centralized optimal control and the topological structure of the systems. Under mild conditions, it is shown that the distributed controller can approximate to the centralized optimal controller. Then the states of the closed-loop systems of the distributed control exponentially converge to the states of the closed-loop systems of the centralized optimal control. Some examples are given to show effectiveness of the proposed results.     

卖方消费信贷下零售商与金融企业的成本共担契约

针对金融企业的信贷服务水平影响零售商的信贷消费需求情形下，研究零售商的最优订货决策、金融企业的最优服务水平决策和系统协调问题。为此，分别建立了集中决策模型、分散决策模型及成本共担契约协调模型。通过对模型的求解和推导得出：分散决策时的最优订货决策、最优服务水平及最优系统利润均比集中决策时的要低；当零售商分担一定比例的金融企业信贷服务成本，并且金融企业分担一定比例的零售商单位实际产品成本时，成本共担契约能够实现系统的协调。最后，进一步通过数值分析表明，所提出的成本共担契约可实现系统的协调，并使零售商和金融企业实现双赢。     

AN ALGORITHM FOR THE DETERMINATION OF THE ECONOMIC ORDER QUANTITY IN A TWO-LEVEL SUPPLY CHAIN WITH TRANSPORTATION COSTS： COMPARISON OF DECENTRALIZED WITH CENTRALIZED DECISION

This paper considers a two-level supply chain consisting of one warehouse and one retailer. In this model we determine the optimal ordering policy according to inventory and transportation costs. We assume that the demand rate by the retailer is known. Shortages are allowed neither at the retailer nor at the warehouse. We study this model in two cases; decentralized and centralized. In the decentralized case the retailer and the warehouse independently minimize their own costs; while in the centralized case the warehouse and the retailer are considered as a whole firm. We propose an algorithm to find economic order quantifies for both the retailer and the warehouse which minimize the total system cost in the centralized case. The total system cost contains the holding and ordering costs at the retailer and the warehouse as well as the transportation cost from the warehouse to the retailer. The application of this model into the pharmaceutical downstream supply chain of a public hospital allows obtaining significant savings. By numerical examples, the costs are computed in MATLAB to compare the costs in the centralized case with decentralized one and to propose a saving-sharing mechanism through quantity discount.     

需求和成本同时扰动下双渠道供应链定价与生产决策

研究由单一制造商和单一零售商组成的双渠道供应链在发生扰动时的定价与生产决策问题. 假定每种渠道的需求都是关于零售价格和直销价格的线性函数,分别分析了需求和生产成本同时扰动对集中式和分散式双渠道供应链的定价与生产决策的影响. 通过求解优化问题的Kuhn-Tucker条件,得到了需求扰动和生产成本扰动在不同范围内取值时双渠道供应链的最优定价与生产决策. 研究表明,需求扰动效应和生产成本扰动效应的交互作用使得初始的生产计划具有一定的稳健性.     

双向搭便车时双渠道供应链定价与销售努力决策

考虑由制造商、网络零售商和实体零售商组成的双渠道供应链,在零售商之间存在价格竞争和双向搭便车的情形下,研究集成和分散供应链两种模式下最优定价和努力水平决策.研究发现,在集成供应链模式下,最优零售价格和销售努力水平只取决于努力成本,当努力成本低于某临界值时,网络和实体零售商都努力,否则,都不努力.在分散供应链中,努力水平与批发价格,努力成本以及搭便车系数有关:当努力成本过低与过高时,制造商设定同样的批发价格,零售商会分别选择同时努力和同时不努力,则努力水平和供应链利润与搭便车系数无关,否则,制造商实行批发价格歧视策略,且搭便车系数越大,价格歧视越明显,此时,随着搭便车系数的增大,制造商的利润减少,零售商的利润增大,供应链的利润增大.     

Outsourcing decision and order policy with forecast updating under capacity reservation contract

This paper investigates an optimal decision problem in a single-period, two-stage supply chain with capacity reservation contract. At the beginning of the planning horizon, the retailer, who faces stochastic demand, reserves future capacity according to his forecasting of the demand. The supplier then constructs capacity. At the beginning of the selling season, the retailer updates the demand forecasting and places an order. When the retailer＇s demand is greater than the supplier＇s capacity, the supplier can meet the retailer＇s demand by outsourcing. We analyze the optimal decision of each player in both centralized and decentralized systems. Furthermore, under the case in which demand follows a uniform distribution, we obtain the closed-form optimal strategies of each player for both centralized and decentralized systems and conduct numerical studies to reveal additional conclusions. The numerical studies show that the optimal reservation capacity for the retailer and the optimal constructing capacity for the supplier in the decentralized system are both less than the optimal constructing capacity in the centralized system. Furthermore, we also find that the profit loss due to decentralization always exists and increases in indeterminacy.     

多区域网型结构电力系统鲁棒重叠分散控制

研究一类多区域网型结构特殊重叠电力系统的鲁棒分散控制问题。根据电力系统本身的结构信息约束,提出一种新的互联系统鲁棒分散控制方法。该方法根据大系统包含原理的约束条件,对系统的结构进行重叠分解处理,然后利用线性矩阵不等式(LMI)方法设计系统的鲁棒分散控制器。将该方法应用到一个四区域网型结构电力系统的自动发电控制控制(AGC)中,其仿真结果表明按此方法设计的控制器较直接使用LMI方法能使系统具有更令人满意的控制性能。     

双重供货模式下的装配系统协调机制设定与优化

建立了由两供应商、单制造商构成的基于双重供货模式的装配系统,其中：制造商需要向供应商1订购零部件,而 供应商2对制造商采用VMI模式供应零部件. 分析在供应商生产时间不确定的前提下,装配系统的订货时间决策与 协调问题. 研究结果表明,分散模式下的供应链总体成本和准时供货率均劣于集中模式. 当制造商对供应商采用传 统的激励机制时,尽管能够降低供应链成本,但并不能使得系统总成本达到集中模式下的系统最优成本. 采用改进 的激励机制时,可以实现分散模式下系统总成本的完全协调,但并不能保证实现Pareto改善. 在此基础上,进一步 找到能使系统达到整体绩效最大化的协调机制,并且可以实现系统成本的有效分配.     

Decentralized Bezout Identity and a Parametrization of Decentralized Controllers for Singular Systems

1　 IntroductionConsider a singular decentralized control system of the formEx(t) =Ax(t) ∑Ni=1Biui(t)yi =Cix(t) ,i∈ N ={ 1 ,2 ,… ,N}(1 )where x(t)∈ Rn is the state vector,ui(t)∈ Rmi and yi(t)∈ Rpi are respectively the localcontrol input and measure outputvectors of the ith control channel.The matrix E may besingular,i.e.,rank(E) 相似文献   

1:1的二级非一体化供应链库存运输联合优化模型

研究了非一体化供应链下单供应商-单零售商的库存运输联合优化问题,考虑了一体化的理想情况以及运输成本分别由供应商、零售商承担3种情况,并建立了数学模型.随机数据实验验证了零售商承担运输成本情形可获得较优的供应链整体利润,其值接近于理想情况下供应链的总体利润,进而采用利润分配策略,以确保供应商和零售商双方均能获得更大利润,从而促进供应链协调.数值算例和参数灵敏度分析验证了运输成本由零售商承担策略的优越性和稳定性.     

Decentralized robust stabilization of discrete-time fuzzy large-scale systems with parametric uncertainties: a LMI method

1. INTRODUCTION Large-scale dynamic system theory has been intensi- vely studied during the past decade[1～3], but for fuzzy large-scale systems, namely large-scale systems comp- osed of a series of fuzzy subsystems, has been seldom done in literature. In Ref.[4], decentralized stabiliz- ation problem of fuzzy large-scale systems composed of a series of fuzzy subsystems was considered. Sufficient conditions for asymptotic stability of the fuzzy large-scale system and design methods of dec…     

需求和成本同时扰动时多零售商供应链协调

分析一个供应商和n个Bertrand竞争零售商组成的供应链系统的协调问题.首先证明收益共享合约在稳定条件下能实现该供应链协调;当突发事件导致零售商面临的需求规模和供应商的生产成本同时发生扰动时,供应链的协调被打破,通过求解突发事件下供应链系统最优利润的Kuhn-Tucker(KT)条件,提出了供应链在一体化时应对突发事件的最优策略;进一步证明了改进的收益共享合约可协调需求和成本同时扰动的分权供应链;最后数值实验表明了模型的有效性.     

具有控制约束的不确定离散系统最优保性能控制

对一类具有范数有界时变参数不确定性和控制输入约束的离散时间线性系统,采用线性矩阵不等式处理方法,导出了保性能控制律存在的条件,证明了该条件等价于一组线性矩阵不等式的可行性问题,并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示。进而,通过建立并求解一个凸优化问题,给出了具有控制约束的不确定离散系统最优保性能控制律设计方法。     

Robust reliable guaranteed cost control for uncertain singular systems with time-delay

The robust reliable guaranteed cost control for uncertain singular delay systems with actuator failures and a given quadratic cost function is studied. The system under consideration involves constant time-delay and norm-bounded parameter uncertainties. The purpose is to design state feedback controllers which can tolerate actuator failure, such that the closed-loop system is stable, and the specified cost function has an upper bound for all admissible uncertainties. The sufficient conditions for the solvab...     

基于LMI的连续时间模糊大系统的分散镇定

讨论了连续时间模糊大系统的分散镇定问题。整个模糊大系统由m个相互关联的T-S子模糊系统组成。基于李亚普诺夫稳定性理论及大系统分散控制理论,将单个模糊系统的稳定性条件推广到关联模糊大系统的情形,给出了保证该模糊大系统闭环渐近稳定的分散化并行分布补偿(decentralizedparalleldistributedcompensation,DPDC)控制器的设计方法。这些分散控制器的存在条件均以LMI的形式出现,因此可通过Matlab的LMI工具箱有效地对其进行求解。仿真例子说明了所提方法的有效性。     

供应链产品质量检查策略的比较研究

研究由一个供应商和一个零售商组成的供应链,建立存在质量不确定与检查错误下的报童模型,比较分析全检、抽检、分批抽检以及组合策略在分散式与集中式供应链中对零售商订购决策与质量控制效率的影响.结果表明,次品率的增加会降低零售商订购产品的动因,但会增加组合策略下零售商的订购量与利润,同时对集中式供应链中全检策略下的零售商有利;比较策略可知,在分散式供应链中,若次品率较低,则分批抽检策略最优,而随着次品率的提高,组合策略会更优,而在集中式供应链中,全检策略最优;此外零售商质量控制策略的选择受到检查精度、责任成本、次品率阈值、抽检数量以及分批次数等诸多因素的影响,最优策略不尽相同,但不会改变零售商利润随次品率变化的趋势.     

不确定离散广义线性系统的保性能最优控制

对一类具有范数有界时不变参数不确定性的广义离散时间线性系统和一个二次型性能指标,研究了其最优保性能状态反馈控制律的设计问题。通过采用线性矩阵不等式方法,导出了存在保性能控制律的一个充分条件,进而证明了该条件可化为一个线性矩阵不等式的可解性问题,并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示。在此基础上,通过建立并求解一个凸优化问题,给出了最优保性能控制律的设计方法,最后用例子说明了该方法的应用。