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Robust Finite-Time Terminal Sliding Mode Control for a Francis Hydroturbine Governing System 混流式水轮机调节系统的鲁棒有限时间终端滑模控制
IF 1.7 Q3 Mathematics Pub Date : 2016-08-01 DOI: 10.1155/2016/2518734
Fen Wu, Junling Ding, Zhengzhong Wang
The robust finite-time control for a Francis hydroturbine governing system is investigated in this paper. Firstly, the mathematical model of a Francis hydroturbine governing system is presented and the nonlinear vibration characteristics are analyzed. Then, on the basis of finite-time control theory and terminal sliding mode scheme, a new robust finite-time terminal sliding mode control method is proposed for nonlinear vibration control of the hydroturbine governing system. Furthermore, the designed controller has good robustness which could resist external random disturbances. Numerical simulations are employed to verify the effectiveness and superiority of the designed finite-time sliding mode control scheme. The approach proposed in this paper is simple and also provides a reference for relevant hydropower systems.
研究了混流式水轮机调节系统的鲁棒有限时间控制问题。首先,建立了混流水轮机调节系统的数学模型,分析了混流水轮机调节系统的非线性振动特性。然后,基于有限时间控制理论和末端滑模控制方法,提出了一种新的用于水轮机调节系统非线性振动控制的鲁棒有限时间末端滑模控制方法。此外,所设计的控制器具有良好的鲁棒性,可以抵抗外部随机干扰。数值仿真验证了所设计的有限时间滑模控制方案的有效性和优越性。本文提出的方法简单,对相关水电系统具有一定的参考价值。
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引用次数: 7
Generalized Minimum Variance Control for MDOF Structures under Earthquake Excitation 地震作用下多自由度结构的广义最小方差控制
IF 1.7 Q3 Mathematics Pub Date : 2016-08-01 DOI: 10.1155/2016/7458654
L. Guenfaf, M. Azira
Control of a multi-degree-of-freedom structural system under earthquake excitation is investigated in this paper. The control approach based on the Generalized Minimum Variance (GMV) algorithm is developed and presented. Our approach is a generalization to multivariable systems of the GMV strategy designed initially for single-input-single-output (SISO) systems. Kanai-Tajimi and Clough-Penzien models are used to generate the seismic excitations. Those models are calculated using the specific soil parameters. Simulation tests using a 3DOF structure are performed and show the effectiveness of the control method.
研究了多自由度结构体系在地震作用下的控制问题。提出了基于广义最小方差(GMV)算法的控制方法。我们的方法是将最初为单输入-单输出(SISO)系统设计的GMV策略推广到多变量系统。采用Kanai-Tajimi模型和Clough-Penzien模型来产生地震激励。这些模型是根据具体的土壤参数计算出来的。利用三维结构进行了仿真试验,验证了该控制方法的有效性。
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引用次数: 0
The Feedback Control Strategy of the Takagi-Sugeno Fuzzy Car-Following Model with Two Delays 两时滞Takagi-Sugeno模糊汽车跟随模型的反馈控制策略
IF 1.7 Q3 Mathematics Pub Date : 2016-08-01 DOI: 10.1155/2016/4581428
C. Zhai, W. Liu, Ling Huang
Considering the driver’s sensing the headway and velocity the different time-varying delays exist, respectively, and the sensitivity of drivers changes with headway and speed. Introducing the fuzzy control theory, a new fuzzy car-following model with two delays is presented, and the feedback control strategy of the new fuzzy car-following model is studied. Based on the Lyapunov function theory and linear matrix inequality (LMI) approach, the sufficient condition that the existence of the fuzzy controller is given making the closed-loop system is asymptotic, stable; namely, traffic congestion phenomenon can effectively be suppressed, and the controller gain matrix can be obtained via solving linear matrix inequality. Finally, the simulation examples verify that the method which suppresses traffic congestion and reduces fuel consumption and exhaust emissions is effective.
考虑到驾驶员对车头距和速度的感知,分别存在不同的时变延迟,并且驾驶员的灵敏度随车头距和速度的变化而变化。引入模糊控制理论,提出了一种新的双时滞模糊跟车模型,并对该模型的反馈控制策略进行了研究。基于Lyapunov函数理论和线性矩阵不等式(LMI)方法,给出了模糊控制器存在使闭环系统渐近、稳定的充分条件;即有效抑制交通拥堵现象,通过求解线性矩阵不等式得到控制器增益矩阵。最后通过仿真算例验证了该方法在抑制交通拥堵、降低油耗和废气排放方面的有效性。
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引用次数: 1
Interior Point Algorithm for Multi-UAVs Formation Autonomous Reconfiguration 多无人机编队自主重构的内点算法
IF 1.7 Q3 Mathematics Pub Date : 2016-08-01 DOI: 10.1155/2016/9095372
Wang Jian-hong, Rana Javed Masood
Here the problem of designing multi-UAVs formation autonomous reconfiguration is considered. Combined with three kinds of cost functions, nonlinear dynamic equations, and four inequality constraints, one nonlinear multiobjective optimization problem is constructed. After applying weighted sum method and separating all equality or inequality constraints, the former nonlinear multiobjective optimization problem can be converted into a standard nonlinear single objective optimization problem. Then the interior point algorithm is applied to solve it. Further some improvements are proposed to avoid rank deficiency of some matrices. The equivalence property between multiobjective optimization and single objective optimization through weighted sum method is proved. Finally the efficiency of the proposed strategy can be confirmed by the simulation example results.
本文研究了多无人机编队自主重构的设计问题。结合三种成本函数、非线性动力学方程和四种不等式约束,构造了一个非线性多目标优化问题。采用加权和法,分离所有的等式或不等式约束后,可以将原来的非线性多目标优化问题转化为标准的非线性单目标优化问题。然后用内点算法求解。为了避免某些矩阵的秩不足,进一步提出了一些改进方法。用加权和法证明了多目标优化与单目标优化的等价性。最后通过仿真算例结果验证了所提策略的有效性。
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引用次数: 2
Adaptive Fuzzy Sliding Mode Tracking Control of Uncertain Underactuated Nonlinear Systems: A Comparative Study 不确定欠驱动非线性系统的自适应模糊滑模跟踪控制比较研究
IF 1.7 Q3 Mathematics Pub Date : 2016-07-20 DOI: 10.1155/2016/9283103
Faten Baklouti, Sinda Aloui, A. Chaari
The trajectory tracking of underactuated nonlinear system with two degrees of freedom is tackled by an adaptive fuzzy hierarchical sliding mode controller. The proposed control law solves the problem of coupling using a hierarchical structure of the sliding surfaces and chattering by adopting different reaching laws. The unknown system functions are approximated by fuzzy logic systems and free parameters can be updated online by adaptive laws based on Lyapunov theory. Two comparative studies are made in this paper. The first comparison is between three different expressions of reaching laws to compare their abilities to reduce the chattering phenomenon. The second comparison is made between the proposed adaptive fuzzy hierarchical sliding mode controller and two other control laws which keep the coupling in the underactuated system. The tracking performances of each control law are evaluated. Simulation examples including different amplitudes of external disturbances are made.
采用自适应模糊层次滑模控制器解决二自由度欠驱动非线性系统的轨迹跟踪问题。所提出的控制律利用滑动面的分层结构解决了耦合问题,并采用不同的到达律解决了抖振问题。利用模糊逻辑逼近未知系统函数,利用李雅普诺夫理论的自适应规律在线更新自由参数。本文进行了两项比较研究。第一个比较是三种不同的趋近律表达,比较它们减少抖振现象的能力。其次,将所提出的自适应模糊层次滑模控制器与另外两种保持欠驱动系统耦合的控制律进行了比较。对各控制律的跟踪性能进行了评价。给出了包含不同幅度外部干扰的仿真实例。
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引用次数: 10
An Improved MPPT Algorithm for PV Generation Applications Based on P-U Curve Reconstitution 基于P-U曲线重构的光伏发电MPPT改进算法
IF 1.7 Q3 Mathematics Pub Date : 2016-06-01 DOI: 10.1155/2016/3242069
Wang Yaoqiang, Meiling Zhang, Xian Cheng
The output power of PV array changes with the variation of environmental factors, such as temperature and solar irradiation. Therefore, a maximum power point (MPP) tracking (MPPT) algorithm is essential for the photovoltaic generation system. However, the P-U curve changes dynamically with the variation of the environmental factors; here, the misjudgment may occur if a simple perturb-and-observe (P&O) MPPT algorithm is used. In order to solve this problem, this paper takes MPPT as the main research object, and an improved MPPT algorithm for PV generation applications based on P-U curve reconstitution is proposed. Firstly, the mathematical model of PV array is presented, and then the output dynamic characteristics are analyzed. Based on this, a P-U curve reconstitution strategy is introduced, and the improved MPPT algorithm is proposed. At last, simulation and comparative analysis are conducted. Results show that, with the proposed algorithm, MPP is tracked accurately, and the misjudgment problem is solved effectively.
光伏阵列的输出功率随环境因素(如温度和太阳辐照度)的变化而变化。因此,最大功率点(MPP)跟踪(MPPT)算法对光伏发电系统至关重要。P-U曲线随环境因子的变化而动态变化;在这里,如果使用简单的扰动-观察(P&O) MPPT算法,可能会出现误判。为了解决这一问题,本文以MPPT为主要研究对象,提出了一种基于P-U曲线重构的光伏发电应用MPPT改进算法。首先建立了光伏阵列的数学模型,然后分析了其输出动态特性。在此基础上,提出了一种P-U曲线重构策略,并提出了改进的MPPT算法。最后进行了仿真和对比分析。结果表明,该算法能够准确地跟踪MPP,有效地解决了误判问题。
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引用次数: 1
Attitude and Altitude Control of Trirotor UAV by Using Adaptive Hybrid Controller 基于自适应混合控制器的三旋翼无人机姿态高度控制
IF 1.7 Q3 Mathematics Pub Date : 2016-06-01 DOI: 10.1155/2016/6459891
Z. Ali, Daobo Wang, Suhaib Masroor, M. S. Loya
The paper presents an adaptive hybrid scheme which is based on fuzzy regulation, pole-placement, and tracking (RST) control algorithm for controlling the attitude and altitude of trirotor UAV. The dynamic and kinematic model of Unmanned Aerial Vehicle (UAV) is unstable and nonlinear in nature with 6 degrees of freedom (DOF); that is why the stabilization of aerial vehicle is a difficult task. To stabilize the nonlinear behavior of our UAV, an adaptive hybrid controller algorithm is used, in which RST controller tuning is performed by adaptive gains of fuzzy logic controller. Simulated results show that fuzzy based RST controller gives better robustness as compared to the classical RST controller.
提出了一种基于模糊调节、极点放置和跟踪(RST)控制算法的自适应混合控制方案,用于控制三旋翼无人机的姿态和高度。具有6个自由度的无人机(UAV)动力学和运动学模型具有不稳定性和非线性特性;这就是为什么飞行器的稳定是一项艰巨的任务。为了稳定无人机的非线性行为,采用了一种自适应混合控制器算法,其中RST控制器通过模糊逻辑控制器的自适应增益进行整定。仿真结果表明,与经典RST控制器相比,模糊RST控制器具有更好的鲁棒性。
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引用次数: 21
Combined Parameter and State Estimation Algorithms for Multivariable Nonlinear Systems Using MIMO Wiener Models 基于MIMO Wiener模型的多变量非线性系统的组合参数和状态估计算法
IF 1.7 Q3 Mathematics Pub Date : 2016-06-01 DOI: 10.1155/2016/9614167
H. Salhi, S. Kamoun
This paper deals with the parameter estimation problem for multivariable nonlinear systems described by MIMO state-space Wiener models. Recursive parameters and state estimation algorithms are presented using the least squares technique, the adjustable model, and the Kalman filter theory. The basic idea is to estimate jointly the parameters, the state vector, and the internal variables of MIMO Wiener models based on a specific decomposition technique to extract the internal vector and avoid problems related to invertibility assumption. The effectiveness of the proposed algorithms is shown by an illustrative simulation example.
本文研究了多变量非线性系统的参数估计问题,该系统是用MIMO状态空间维纳模型描述的。利用最小二乘技术、可调模型和卡尔曼滤波理论提出了递归参数和状态估计算法。其基本思想是基于特定的分解技术,对MIMO维纳模型的参数、状态向量和内部变量进行联合估计,提取内部向量,避免可逆性假设问题。仿真算例表明了所提算法的有效性。
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引用次数: 3
Rolling Force Prediction in Heavy Plate Rolling Based on Uniform Differential Neural Network 基于均匀微分神经网络的厚板轧制力预测
IF 1.7 Q3 Mathematics Pub Date : 2016-06-01 DOI: 10.1155/2016/6473137
Fei Zhang, Yuntao Zhao, J. Shao
Accurate prediction of the rolling force is critical to assuring the quality of the final product in steel manufacturing. Exit thickness of plate for each pass is calculated from roll gap, mill spring, and predicted roll force. Ideal pass scheduling is dependent on a precise prediction of the roll force in each pass. This paper will introduce a concept that allows obtaining the material model parameters directly from the rolling process on an industrial scale by the uniform differential neural network. On the basis of the characteristics that the uniform distribution can fully characterize the solution space and enhance the diversity of the population, uniformity research on differential evolution operator is made to get improved crossover with uniform distribution. When its original function is transferred with a transfer function, the uniform differential evolution algorithms can quickly solve complex optimization problems. Neural network structure and weights threshold are optimized by uniform differential evolution algorithm, and a uniform differential neural network is formed to improve rolling force prediction accuracy in process control system.
在钢铁生产中,准确预测轧制力是保证最终产品质量的关键。根据轧制间隙、轧机弹簧和预测轧制力计算出每道板的出口厚度。理想的孔型调度依赖于对每道次轧制力的精确预测。本文将介绍一种利用均匀微分神经网络直接从工业规模的轧制过程中获得材料模型参数的概念。基于均匀分布能充分表征解空间和增强种群多样性的特点,对差分进化算子进行均匀性研究,以获得均匀分布下的改进交叉。当用传递函数传递其原始函数时,一致差分进化算法可以快速求解复杂的优化问题。采用均匀微分进化算法对神经网络结构和权值进行优化,形成均匀微分神经网络,提高过程控制系统轧制力预测精度。
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引用次数: 5
The Determination of Feasible Control Variables for Geoengineering and Weather Modification Based on the Theory of Sensitivity in Dynamical Systems 基于动力系统灵敏度理论的地球工程和人工影响天气可行控制变量的确定
IF 1.7 Q3 Mathematics Pub Date : 2016-06-01 DOI: 10.1155/2016/1547462
S. Soldatenko, R. Yusupov
Geophysical cybernetics allows for exploring weather and climate modification (geoengineering) as an optimal control problem in which the Earth’s climate system is considered as a control system and the role of controller is given to human operators. In mathematical models used in climate studies control actions that manipulate the weather and climate can be expressed via variations in model parameters that act as controls. In this paper, we propose the ?instability-sensitivity? approach that allows for determining feasible control variables in geoengineering. The method is based on the sensitivity analysis of mathematical models that describe various types of natural instability phenomena. The applicability of this technique is illustrated by a model of atmospheric baroclinic instability since this physical mechanism plays a significant role in the general circulation of the atmosphere and, consequently, in climate formation. The growth rate of baroclinic unstable waves is taken as an indicator of control manipulations. The information obtained via calculated sensitivity coefficients is very beneficial for assessing the physical feasibility of methods of control of the large-scale atmospheric dynamics and for designing optimal control systems for climatic processes. It also provides insight into potential future changes in baroclinic waves, as a result of a changing climate.
地球物理控制论允许探索天气和气候变化(地球工程)作为一个最优控制问题,其中地球气候系统被视为一个控制系统,控制器的角色被赋予人类操作员。在气候研究中使用的数学模型中,操纵天气和气候的控制行动可以通过作为控制的模型参数的变化来表示。在本文中,我们提出了?不稳定敏感性?一种在地球工程中确定可行控制变量的方法。该方法基于描述各种自然失稳现象的数学模型的敏感性分析。大气斜压不稳定模式说明了这种技术的适用性,因为这种物理机制在大气环流中起着重要作用,从而在气候形成中起着重要作用。斜压不稳定波的增长速度作为控制操作的指标。通过计算的灵敏度系数获得的信息对于评估大尺度大气动力学控制方法的物理可行性和设计气候过程的最优控制系统是非常有益的。它还提供了对未来斜压波的潜在变化的洞察,这是气候变化的结果。
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引用次数: 4
期刊
Journal of Control Science and Engineering
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