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On Numerical Solution of Differential Games in Classes of Mixed Strategies 混合策略类微分对策的数值解
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.02208
D. Kornev, N. Lukoyanov
Abstract A zero-sum linear-convex differential game with a quality index that estimates a set of deviations of a motion trajectory at given instants of time from given target points is considered. A case when the saddle point condition in a small game, also known as Isaac's condition, does not hold is studied. The game is posed in classes of mixed control strategies of players. A numerical method for computing the game value and optimal strategies is elaborated. Results of numerical experiments in model examples are given.
摘要考虑了一个零和线性凸微分对策,该对策具有一个质量指标,用于估计运动轨迹在给定时刻与给定目标点的一组偏差。研究了小博弈中鞍点条件(即艾萨克条件)不成立的情况。该博弈以玩家的混合控制策略为分类。阐述了一种计算博弈值和最优策略的数值方法。给出了模型算例的数值实验结果。
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引用次数: 2
Adaptation of the human-machine interface to the human skill and dynamic characteristics 人机界面适应人的技能和动态特性
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.02614
K. Tervo, H. Koivo
Abstract Human Adaptive Mechatronics (HAM) considers operator's individual skills and preferences. Operator's performance is time-varying and stochastic. Modifying the static parameters of the Human-Machine Interface (HMI) the human operator's skill level and dynamic characteristics can be passively adapted. Knowledge-based approach is applied to change the machine parameters. This leads to a novel Skill Adaptive Control (SAC), which is described in the paper. A trolley crane system is simulated to test how operators can benefit of SAC. Four operators were using the system.
人体自适应机电一体化(Human Adaptive Mechatronics, HAM)考虑了操作者的个人技能和偏好。算子的性能是时变的、随机的。通过修改人机界面的静态参数,可以被动地适应操作人员的技能水平和动态特性。采用基于知识的方法来改变机器参数。这导致了一种新的技能自适应控制(SAC),本文对此进行了描述。模拟了一台车起重机系统,以测试操作人员如何受益于SAC。当时有四名操作员在使用该系统。
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引用次数: 5
Cyclic Scheduling Steady-State Analysis and Improved Mathematical Models 循环调度稳态分析及改进数学模型
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.01038
Hongchang Zhang, S. Collart-Dutilleul, K. Mesghouni
Abstract This paper gives a new viewpoint for steady-state analysis of classical job-shop cyclic scheduling (CJCS). After refining the constraints in the analysis of steady-state, improved models are achieved. By using the improved models, two kinds of problems can be solved, which are minimizing work-in-progress (WIP) with optimal cycle time and minimizing the cycle time with limited WIP. Moreover, the mathematical models are programmed in CPLEX 12.5 and good experimental results are presented.
摘要本文为经典作业车间循环调度的稳态分析提供了一种新的观点。在对稳态分析中的约束条件进行细化后,得到了改进模型。利用改进的模型,可以解决两类问题,即以最优周期时间最小化在制品(work-in-progress)和以有限的在制品(work-in-progress)最小化周期时间。并在CPLEX 12.5中编制了数学模型,得到了良好的实验结果。
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引用次数: 3
Equivalence of Multi-Formulated Optimal Slip Control for Vehicular Anti-Lock Braking System 车辆防抱死制动系统多公式最优滑移控制的等效性
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.02479
O. Nyandoro, T. Chingozha
Abstract This paper presents the equivalence of time-optimal and optimal distance slip-control approach for purposes of performing antilock braking. A dynamic braking model is developed encorporating a slip state to facilitate slip tracking. Optimal distance braking is performed with control constraints on the dynamic slip based braking model. A similar treatment is applied for time optimal braking on the braking model. The key contribution is the demonstration of the equivalence of optimal distance and time optimal braking of a vehicle. A generalised none zero-terminal condition is utilised in the optimal formulations. Simulation results demonstrate the validity of the approach along with the development of a key optimality condition for the equivalence approach.
摘要提出了防抱死制动时最优滑移控制与最优距离滑移控制的等价方法。为了便于滑移跟踪,建立了包含滑移状态的动态制动模型。在基于动态滑移的制动模型上,采用控制约束进行最优距离制动。对制动模型进行了时间最优制动的类似处理。关键贡献在于论证了车辆最佳制动距离与最佳制动时间的等价性。在最优公式中使用了一个广义的无零终端条件。仿真结果证明了该方法的有效性,并给出了等效方法的一个关键最优性条件。
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引用次数: 1
Modeling and Optimization of Synchronous Behavior for Packaging Machines 包装机同步行为建模与优化
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.02565
Sathyamyla Kanthabhabhajeya, B. Lennartson
This paper proposes a new modeling solution for the synchronous behavior of packaging machines, and a strategy for maximizing the production rate based on a formal model. A common modeling platform is recommended to handle information exchange and to develop a collaborative workflow, in this paper involving mechanical design and software development. The modeling solution for the synchronous behavior is developed in SysML (Systems Modeling Language), being the common platform. Then a formal modeling language called Sequence Planner Language (SPL) is interfaced with SysML, to overcome some limitations of SysML. The synchronous behavior of the packaging machine is also developed in SPL, from which the optimization problem is defined. The result of the optimization shows that it is possible to improve the efficiency of packaging machines with new configurations compared to more conventional design. The proposed strategy is evaluated for a filling machine at Tetra Pak.
本文提出了一种新的包装机同步行为建模方法,以及一种基于形式化模型的生产率最大化策略。本文从机械设计和软件开发两个方面,提出了一个通用的建模平台来处理信息交换和开发协同工作流程。同步行为的建模解决方案是在SysML(系统建模语言)中开发的,SysML是通用平台。然后将序列规划语言(SPL)与SysML相结合,克服了SysML的一些局限性。在SPL中发展了包装机的同步行为,并由此定义了优化问题。优化的结果表明,与更传统的设计相比,采用新配置的包装机有可能提高效率。提议的策略是评估在利乐灌装机。
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引用次数: 0
Modelling of a Coagulation Chemical Dosing Unit for Water Treatment Plants Using Fuzzy Inference System 用模糊推理系统对水厂混凝剂加药装置进行建模
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.02225
O. Bello, Y. Hamam, Karim D Djouani
Abstract In this study, adaptive neuro-fuzzy inference system (ANFIS) was applied to estimate the parameters of a coagulation chemical dosing unit for water treatment plants. The dosing unit has three input variables (sudfloc 3835, ferric chloride and hydrated lime flow rates) and two output variables (surface charge and pH values). The ANFIS model is compared with multilayer backpropagation network (MBPN) with four different training algorithms for performance evaluation purpose. The results of evaluation tests using the average percentage error (APE), root mean squared error (RMSE), correlation coefficient (R) and average relative variance (ARV) criteria show that ANFIS is the most efficient and reliable estimator when the models were presented with noiseless and noisy input datasets.
摘要采用自适应神经模糊推理系统(ANFIS)对水厂混凝剂投加单元进行参数估计。计量单元有三个输入变量(悬浮剂3835,氯化铁和水合石灰流速)和两个输出变量(表面电荷和pH值)。将采用四种不同训练算法的ANFIS模型与多层反向传播网络(MBPN)进行了性能评估。使用平均百分比误差(APE)、均方根误差(RMSE)、相关系数(R)和平均相对方差(ARV)标准进行评估测试的结果表明,当模型在无噪声和有噪声的输入数据集上呈现时,ANFIS是最有效和可靠的估计器。
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引用次数: 8
Stochastic MPC for Systems with both Multiplicative and Additive Disturbances 具有乘性和加性扰动系统的随机MPC
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.01255
Qifeng Cheng, M. Cannon, B. Kouvaritakis, Martin A. Evans
Abstract A stochastic MPC strategy is proposed to handle systems with both multiplicative and additive random uncertainty. Through a dual mode strategy, the system can be divided into a nominal dynamics and an error dynamics. The errors are further decomposed into two parts: one for which it is possible to construct probabilistic tubes offline with the explicit use of the disturbance distribution information, and the other which can be handled through the use of a set of robust tubes with bounding facets of fixed orientation, whose distances from the origin are optimized online. The robust tubes can exhibit little conservativeness on account of the fact that the number of the bounding facets of tubes in the predictions can be varying through online optimization. A tailored terminal set is investigated to ensure the recursive feasibility and stability of the algorithm. The online computation is turned into a standard quadratic program, which is of comparable order of complexity as that of robust MPC. A numerical example is given to illustrate the effectiveness of the algorithm.
摘要针对具有乘性和加性随机不确定性的系统,提出了一种随机MPC策略。通过双模策略,系统可分为标称动力学和误差动力学。误差进一步分解为两部分:其中一部分可以通过显式使用干扰分布信息离线构建概率管,另一部分可以通过使用一组具有固定方向边界面的鲁棒管来处理,这些边界面的边界面与原点的距离在线优化。鲁棒管可以表现出很小的保守性,因为预测中管的边界面的数量可以通过在线优化而变化。为了保证算法的递归可行性和稳定性,研究了一个定制的终端集。将在线计算转化为一个标准的二次规划,其复杂度与鲁棒MPC相当。算例说明了该算法的有效性。
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引用次数: 16
An extremum seeking approach to parameterised loop-shaping control design 参数化环形控制设计的极值求法
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.02722
Chih Feng Lee, Sei Zhen Khong, E. Frisk, Mattias Krysander
An approach to loop-shaping feedback control design in the frequency domain via extremum seeking is proposed. Both plants and controllers are linear time-invariant systems of possibly infinite dimension. The controller is assumed to be dependent on a finite number of parameters. Discrete-time global extremum seeking algorithms are employed to minimise the difference between the desired loop shape and the estimate of the present loop shape by fine-tuning the controller parameters within a sampled-data framework. The sampling period plays an important role in guaranteeing global practical convergence to the optimum. A case study on PID control tuning is presented to demonstrate the applicability of the proposed method.
提出了一种基于极值求的频域环整形反馈控制设计方法。对象和控制器都是可能无限维的线性定常系统。假设控制器依赖于有限数量的参数。采用离散时间全局极值搜索算法,通过在采样数据框架内微调控制器参数,最小化期望回路形状与当前回路形状估计之间的差异。采样周期对于保证全局实际收敛到最优值起着重要的作用。最后以PID控制整定为例,验证了所提方法的适用性。
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引用次数: 1
Nonlinear observer and controller design for sensorless operation of a continuously rotating energy harvester 连续旋转能量采集器无传感器运行非线性观测器和控制器设计
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.02214
K. Nunna , T.T. Toh , P.D. Mitcheson , A. Astolfi

This paper presents the design of a nonlinear observer and a nonlinear feedback controller for sensorless operation of a continuously rotating energy harvester. A mathematical model of the harvester with its power electronic interface is discussed. This model is used to design an observer that estimates the mechanical quantities from the measured electrical quantities. The gains of the observer depend on the solution of a modified Riccati equation. The estimated mechanical quantities are used in a control law that sustains power generation across a range of source rotation speeds. The proposed scheme is assessed through simulations and experiments.

针对连续旋转能量采集器的无传感器运行,设计了非线性观测器和非线性反馈控制器。讨论了收割机及其电力电子接口的数学模型。该模型用于设计一个观测器,该观测器从测量的电量中估计机械量。观测器的增益取决于一个修正的里卡蒂方程的解。估计的机械量用于控制律,以维持在源转速范围内的发电。通过仿真和实验对该方案进行了验证。
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引用次数: 2
Model-based supervision of a blood pump 基于模型的血泵监测
Pub Date : 2014-01-01 DOI: 10.3182/20140824-6-ZA-1003.01767
André Stollenwerk, Jan Kühn, C. Brendle, M. Walter, J. Arens, M. Wardeh, S. Kowalewski, R. Kopp
Abstract In this paper, we present a novel method to supervise several discrete events and continuous processes causing failures in a blood pump. These are potential hazards which regularly cause problems in intensive care routine. We propose an indicator that considers the nonlinear shear thinning flow properties of blood. Based on a threefold of physiological motivated measures, we calculate an indicator which is not only able to detect ongoing events like gas in the blood phase but also to predict upcoming events like the suction of the withdrawing cannula to the surrounding vessel's wall. We present an algorithm that is embedded in a distributed 32 bit microcontroller network and holding hard real-time constraints. We were able to evaluate out algorithms in-vivo. For this algorithm we analyzed online data of more than 140 hours of animal experiments.
本文提出了一种新的方法来监测引起血泵故障的几个离散事件和连续过程。这些都是潜在的危险,经常在重症监护程序中造成问题。我们提出了一个指标,考虑非线性剪切稀释的血液流动特性。基于生理动机的三重测量,我们计算了一个指标,它不仅能够检测正在进行的事件,如血相中的气体,还能预测即将发生的事件,如抽离套管到周围血管壁。我们提出了一种算法,该算法嵌入在分布式32位微控制器网络中,并保持硬实时约束。我们能够在体内评估我们的算法。为了这个算法,我们分析了140多个小时的动物实验的在线数据。
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引用次数: 4
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