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控制理论

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The feedback linearization,system lacunarity and optimization control of the nonlinear control system are discussed.

对非线性控制系统设计理论上的难点问题进行了探讨,就非线性控制系统的反馈线性化、系统间隙度和非线性系统的优化控制进行了分析。

To weaken the influences of the position-dependent periodic disturbances and parameter uncertainties, the robust repetitive controller was designed, which associated structure singular value theory with the discrete-time repetitive control theory. The problem of robust repetitive control was transformed into one of H∞ optimal control using linear fractional transformation. The robust repetitive controller was achieved using D-K iteration procedure and made the servo system have stability, robustness and tracking performance.

为了削弱周期性扰动及参数变化不确定性的影响,将重复控制和结构奇异值理论相结合,利用线性分式变换(linear fractional transformation,LFT)将鲁棒重复控制问题转换成H∞最优控制问题,采用D-K迭代法设计鲁棒重复控制器(robust repetitive controller,RRC),实现系统的稳定性和鲁棒性,提高系统的跟踪特性。

The simulation results show that this method is effective and successful with strong robustness, and can also be used to some other linear or nonlinear second order systems.

理论分析和仿真表明,这种基于时间最优控制的非线性设计方法具有很好的控制效果和鲁棒性,适用于一类二阶系统的控制。

Subject areas include analytical and theoretical plant pathology, bacteriology, biological control, disease control and pest management, ecology, epidemiology, etiology, genetics, mycology, nematology and virology etc.

该杂志是一本关于植物疾病、导致疾病的物质、疾病传播、疾病造成的损失以及控制方法的国际首要基础研究期刊,学科领域涉及植物分析与理论病理学、细菌学、生物控制、疾病控制与害虫管理、生态学、流行病学、病因学、遗传学、真菌学、线虫学以及病毒学等。

The contribution of this thesis is the development of intelligent control techniques on multi-mobile robotics system including nonholonomic constraint control, robust machine vision, image-based visual servo and evolutionary learning of robot trajectory, which are realized by a prototype system for multi-robots cooperation and competition.

本文针对轮式移动机器人系统的智能控制问题,对其运动控制、机器人视觉、视觉伺服、路径规划、进化学习等理论和方法进行了研究,并开发出多机器人智能控制系统的软件与硬件平台。

The problem of PI controller design for the multi-input and multi-output system is transformed to that of static output feedback controller design via the new state variable. As to the problem of the static output feedback, a new LMI-based sufficient condition of the controller is presented in this thesis. We can gain the multivariable PI controllers just solving one LMI inequality. The numerical example is provided to illustrate the proposed design approach. 3.The H_∞ robust control is able to solve the multivariable problem, also the control problem characteristic of the modeling error, parameters uncertainties and unknown perturbation, Its application research in the power electronics is beginning now. Considering the characteristics of the PWM DC-DC converters, a multivariable PI controllers which is based on H_∞ Performance Index is designed.

通过构造新的状态变量,可以将多输入多输出系统的PI控制器设计问题转化为静态输出反馈控制问题,利用后者的成熟理论来设计控制器;本文在问题转化后采用更为简便的算法,只需通过求解一个LMI不等式,就能求取基于H_∞性能指标的多变量PI控制器参数,实例验证了算法的有效性。3.H_∞鲁棒控制具有处理多变量问题的能力,可解决具有建模误差、参数不确定和干扰未知系统的控制问题;它在电力电子学中的应用研究刚刚开始。

In view of a class of nonlinear singular perturbed system which can be typically evolved into two time scales, a Composed control law for trajectory maneuver is researched by applying feedback linearization, in two steps, to inner loop and outer loop.

对于一类具有典型双时标特性的非线性奇异摄动系统,应用反馈线性化理论分内环控制和外环控制两步进行了轨道机动的组合控制规律设计。

In view of a class of nonlinear singular perturbed system which can be typically evolved into two time scales, a Composed control law for trajectory maneuver is researched by applying feedback linearization, in two step, to inner loop and outer loop.

对于一类具有典型双时标特性的非线性奇异摄动系统,应用反馈线性化理论分内环控制和外环控制两步进行了轨道机动的组合控制规律设计。

In this topic, the dynamic analysis methods for piezoelectric vibrator are studied systematically based on the theoretical model, FEM numerical experimentation and FEM governing equation for given compound-mode vibrator, and some valuable conclusions are obtained. The main work accomplished is summarized as follows: 1.Elaborate the main modeling methods for piezoelectric vibrator and the significance and necessity to study the dynamic characteristics of piezoelectric vibrator which emphasize the urgency of this paper. 2.Take the bending deformation induced by piezoelectric ceramic as example, the energy transfer mechanism of electric energy to mechanical energy are analyzed; the motion and force transfer mechanism are analyzed for the longitudinal-bending vibrator. 3.Based on mode assumption and Hamilton principle, the coupling model of piezoelectric vibrator of linear USM is built; moreover, the equivalent circuit model is obtained and a coupling equation represents the relation between electric parameters and mechanical parameters is derived which provides foundation to match the vibrator and driving circuit. 4.Combine the constitutive equation of piezoelectric ceramic with elastic-dynamical equation, geometric equation in force field and the Maxwell equation in electric field and the corresponding boundary condition equation, the FEM control equation for piezoelectric vibrator of USM to solve dynamic electro-mechanical coupling field is established by employing the principle of virtual displacement. The equation lays the foundation to study the non-linear constitutive equation of piezoelectric ceramic driven by high-power. 5.Define the dynamic indexes of characteristic of vibrator and carry out variable parameters simulation by calculating the model parameters and the electric characteristics of vibrator are simulated according to the equivalent circuit model. By numerical experimentation, the working mode of vibration of vibrator and the shock excitation results of the working frequency band which provides the mode frequency to realize bimodal are analyzed. Detailed calculation of the electro-mechanical coupling field parameters is made by programming the FEM control equation.

本课题从理论模型、有限元数值试验、有限元控制模型等方面以复合振动模式振子为例对超声电机压电振子的动力学特性及其分析方法进行了全面系统地研究,得出了许多有价值的结论,主要概括如下: 1、阐述了目前针对超声电机压电振子的主要建模方法,对压电振子动态特性的研究意义和必要性进行了论述,突出了本文研究内容的迫切性; 2、以压电陶瓷诱发弹性体发生弯曲变形为例,分析了压电陶瓷通过诱发应变来实现机电能量转换的机理;对基于纵弯模式的压电振子的运动及动力传递机理进行了分析; 3、基于模态假定,利用分析动力学的Hamilton原理,建立了面向直线超声电机压电振子的机电耦合动力学模型,并据此建立了压电振子的等效电路模型,导出了电参量与动力学特性参量的耦合方程,为压电振子与驱动电路的匹配提供了依据; 4、从压电陶瓷的本构方程出发,综合力场的弹性动力学方程、几何方程、电场的麦克斯韦方程以及相应的边界条件方程,采用虚位移原理,建立了压电振子动态问题机电耦合场求解的有限元控制方程,为研究其大功率驱动下的非线性本构模型奠定了基础; 5、界定压电振子的动力学特性指标,对压电振子的机电耦合动力学模型参数进行计算及变参数仿真;依据等效电路模型,对压电振子的电学特性进行了仿真分析;通过有限元数值实验,对压电振子工作模态附近的模态振型及工作频率附近的频段进行了激振效果分析,找出了实现模态简并的激振频率;利用有限元控制方程,通过编程计算,对压电振子的力电耦合场参数进行了详细计算,得出了一些有价值的结论。

A scheme of adaptive sliding-mode robust tracking control based on sliding mode equivalent control and robotic dynamics regressor is put forward and globally asymptotic stability of robotic trajectory tracking control systems designed by adopting the presented controller is proved.

基于滑模等价控制的理论和机器人动力学回归模型,提出了一种机器人自适应滑模鲁棒跟踪控制方法,证明了采用这种控制器所设计的机器人轨迹跟踪控制系统是全局渐近稳定的。

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