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Dynamics, stability and sustainable optimal control in wolf-moose systems 狼-驼鹿系统的动力学、稳定性和可持续最优控制
Pub Date : 2021-03-30 DOI: 10.15406/iratj.2021.07.00223
P. Lohmander
A wolf-moose predator-prey system is defined as a nonlinear continuous time differential equation system. The parameters are estimated via a discretized approximation and empirical data from Isle Royale, USA, representing a 61 year period. All parameter estimates confirm the hypotheses and all P-values are below 5%. Possible dynamic equilibria are determined as explicit general functions of the parameters and as numerical values based on the empirical data. General dynamic properties of the system are determined via phase -plane analysis and nonlinear simulation. The nonlinear system is also linearized close to the single equilibrium with two strictly positive populations. The explicit equations of the time path of the linearized system are compared to the nonlinear simulation. Both methods give almost identical solutions close to the equilibrium. Far from the equilibrium, the time paths of the two methods deviate considerably. The solution is a stable converging spiral (center) (unstable diverging spiral) in case the system equilibrium prey population is located at a higher (the same) (lower) level than the population level that gives maximum sustainable net production. Based on the empirically determined expected parameter values, the system is stable but converges very slowly, as a spiral, to the two-species equilibrium. The estimated standard deviations of the parameters can be used to determine the probability that the system solution is a center or an unstable diverging spiral. The optimal management of the wolf-moose system is also determined via sustainable optimal control. Moose hunting and adjustments of the wolf population based on different prices and values of sustainable population levels are derived. Optimal hunting and stock levels are determined and reported as explicit functions of all parameters and prices.
将狼-驼鹿捕食者-猎物系统定义为非线性连续时间微分方程系统。参数是通过离散近似和来自美国皇家岛61年的经验数据来估计的。所有参数估计都证实了假设,所有p值都小于5%。可能的动态平衡被确定为参数的显式一般函数和基于经验数据的数值。通过相平面分析和非线性仿真,确定了系统的一般动态特性。非线性系统也被线性化,接近具有两个严格正总体的单一平衡。将线性化系统的显式时间路径方程与非线性仿真进行了比较。两种方法都给出接近平衡的几乎相同的解。这两种方法的时间路径离平衡点很远,相差很大。如果系统平衡猎物种群位于比提供最大可持续净产量的种群水平更高(相同)(更低)的水平,则解决方案为稳定收敛螺旋(中心)(不稳定发散螺旋)。根据经验确定的期望参数值,系统是稳定的,但收敛速度很慢,以螺旋的形式收敛到两种平衡。参数的估计标准差可以用来确定系统解是中心还是不稳定发散螺旋的概率。狼-驼鹿系统的最优管理也是通过可持续最优控制来确定的。根据可持续种群水平的不同价格和价值,推导出驼鹿狩猎和狼种群的调整。最佳狩猎和库存水平被确定并报告为所有参数和价格的显式函数。
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引用次数: 0
Analysis of various strategies for effective household energy conservation 家庭有效节能的各种策略分析
Pub Date : 2021-01-13 DOI: 10.15406/iratj.2021.07.00218
R. Arulmurugan
The purpose of this article is to analysis various strategies for effective household energy conservation improvement because day by day energy scarcity increases one of third largest consumer is domestic consumer. The power wastage from the domestic consumer is increases abruptly. In this article deals what are different strategies uses to effectively utilize energy conservation for household applications. In the exciting various awareness programme provided by government even-though the power losses are never drop down. The drawback of these due to malfunctions of the equipment. In the proposed article various methods and strategies suggest to reduce the power consumption. The merits of the proposed system is the investment cost is too low, in particular point the investment cost is zero. The outcome of the proposed system helps the public to reduce the power loss and save the nations.
本文的目的是分析各种有效的家庭节能改进策略,因为能源短缺日益加剧,第三大消费者之一是家庭消费者。国内消费者的电力浪费急剧增加。在这篇文章处理什么是不同的策略使用,以有效地利用节能为家庭应用。在政府提供的各种令人兴奋的意识项目中,尽管电力损失从未下降。这些缺点是由于设备故障造成的。本文提出了降低电力消耗的各种方法和策略。该系统的优点是投资成本太低,特别是在某一点上的投资成本为零。该系统的成果有助于减少公众的电力损失,拯救国家。
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引用次数: 0
Active fault tolerant control based on nonlinear subject to actuator and sensor faults for a parallel robot 基于非线性约束的并联机器人执行器和传感器故障主动容错控制
Pub Date : 2020-08-31 DOI: 10.15406/iratj.2020.06.00210
Mahmood Mazare, M. Taghizadeh, Pegah Ghaf G
In this paper, an Active Fault Tolerant Control (AFTC) strategy using a nonlinear H∞ control is proposed for a delta type parallel robot in the presence of actuator and sensor fault. First, dynamic modeling of the robot is accomplished using the Lagrange method. To measure the position and velocity, a super-twisting third-order sliding mode (STW-TOSM) observer is applied. The proposed scheme can accommodate both faults and uncertainties without velocity measurement. In addition, fast convergence and high accuracy is achieved because of applying the high-order sliding mode (HOSM) observer. In order to indicate the effectiveness of the FTC on the basis of nonlinear H∞, its performance is compared with conventional sliding mode and feedback linearization methods. The obtained results reveal the efficacy of the proposed FTC- H∞.
针对delta型并联机器人存在执行器和传感器故障的情况,提出了一种基于非线性H∞控制的主动容错控制策略。首先,利用拉格朗日方法对机器人进行了动力学建模。为了测量位置和速度,采用了超扭转三阶滑模观测器(STW-TOSM)。该方案可以在不需要速度测量的情况下同时适应故障和不确定性。此外,由于采用了高阶滑模(HOSM)观测器,该方法收敛速度快,精度高。为了表明基于非线性H∞的FTC的有效性,将其性能与传统滑模和反馈线性化方法进行了比较。实验结果表明了所提出的FTC- H∞算法的有效性。
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引用次数: 0
Runtime accuracy alterable approximate floatingpoint multipliers 运行时精度可变近似浮点乘法器
Pub Date : 1900-01-01 DOI: 10.15406/iratj.2022.08.00244
Mi Lu
Modern systems demand high computational power within limited resources. Approximate computing is a promising approach to design arithmetic units with tight resources for error-tolerant applications such as image and signal processing and computer vision. A floating-point multiplier is one of the arithmetic units with the highest complexity in such applications. Designing a floating-point multiplier based on the approximate computing technique can reduce its complexity as well as increase performance and energy efficiency. However, an unknown error rate for upcoming input data is problematic to design appropriate approximate multipliers. The existing solution is to utilize an error estimator relying on statistical analysis. In this paper, we propose new approximate floating-point multipliers based on an accumulator and reconfigurable adders with an error estimator. Unlike previous designs, our proposed designs are able to change the levels of accuracy at runtime. Thus, we can make errors distributed more evenly. In contrast to other designs, our proposed design can maximize the performance gain since reconfigurable multipliers are able to operate two multiplications in parallel once the low accuracy mode is selected. Furthermore, we apply a simple rounding technique to approximate floating-point multipliers for additional improvement. Our simulation results reveal that our new method can reduce area by 70.98% when error tolerance margin of our target application is 5%, and when its error tolerance margin is 3%, our rounding enhanced simple adders-based approximate multiplier can save area by 65.9%, and our reconfigurable adder-based approximate multiplier with rounding can save the average delay and energy by 54.95% and 46.67% respectively compared to an exact multiplier.
现代系统需要在有限的资源内获得高计算能力。近似计算是一种很有前途的算法单元设计方法,用于容错应用,如图像和信号处理以及计算机视觉。浮点乘法器是这类应用程序中复杂度最高的算术单元之一。基于近似计算技术设计浮点乘法器可以降低其复杂度,提高性能和能效。然而,即将到来的输入数据的未知错误率是设计适当的近似乘法器的问题。现有的解决方案是利用依赖于统计分析的误差估计器。本文提出了一种基于累加器和带误差估计器的可重构加法器的近似浮点乘法器。与以前的设计不同,我们提出的设计能够在运行时改变精度级别。因此,我们可以使误差分布更均匀。与其他设计相比,我们提出的设计可以最大限度地提高性能增益,因为一旦选择低精度模式,可重构乘法器能够并行操作两个乘法。此外,我们应用一个简单的四舍五入技术来近似浮点乘数,以获得额外的改进。仿真结果表明,当目标应用的容错裕度为5%时,新方法可减少70.98%的面积,当容错裕度为3%时,基于舍入增强简单加法器的近似乘法器可节省65.9%的面积,基于舍入的可重构加法器的近似乘法器可比精确乘法器分别节省54.95%和46.67%的平均延迟和能量。
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引用次数: 0
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International Robotics & Automation Journal
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