Then the neural network based inverse model of the inverted pendulum is trained.
然后，以这些数据为基础训练倒立摆的神经网络逆模型；
The controllers do not rely on the models of the inverted pendulum and chaotic systems.
控制器不依赖于倒立摆系统和混沌系统的模型函数。
In chapter 5, we design the computer controlling system of the inverted pendulum using PLC.
第五章以PLC为控制器，设计了倒立摆的计算机控制系统。
The stable control of the inverted pendulum system is studied with the nonlinear tracking control method.
应用非线性系统跟踪控制方法对倒立摆系统的控制进行研究。
The inverted pendulum system is a typical single input and multiple outputs, nonlinear, high order, unstable system.
倒立摆系统是一个典型的单输入多输出、非线性、高阶次的不稳定系统。
This paper focuses on the swing-up and balance control of the inverted pendulum as well as its Internet-based control.
本文的主要研究内容是倒立摆的起摆控制、稳定控制和网络控制。
Firstly, a PD controller is used to stabilize the inverted pendulum, and the inverted pendulum′s input and output are sampled.
首先，采用PD控制器控制倒立摆，采集倒立摆的输入输出数据；
The researching on the inverted pendulum not only has the profound theory meaning but also has important engineering background.
倒立摆的研究不仅有其深刻的理论意义，还有重要的工程背景。
Finally realized the inverted pendulum system's practicality control through programming, and obtained the satisfying control effect.
最后通过编程实现了对倒立摆系统的实物控制，取得了令人满意的控制效果。
The research on the accurate control of the inverted pendulum has great engineering value to the control of the complex industrial object.
研究倒立摆的精确控制对工业复杂对象的控制有着不可估量的工程应用价值。
We have applied the proposed method to the balancing problem of the inverted pendulum to show the effectiveness and feasibility of the method.
我们所采用的方法是一种用来显示有效性和可行性的新途径。
As an inherently unstable system by nature, the inverted pendulum has been used as the controlled device in a prototype real-time control system.
作为一个自然不稳定系统，倒立摆一直被用作实时控制系统实验的控制设备。
When a new theory or method is proposed and can't be strictly proved, the inverted pendulum system can be used to validate its correctness and practicability.
而且当一种新的理论和方法提出以后，在不能用理论加以严格证明时，可以用倒立摆系统装置来验证其正确性及实用性。
So the researching on the inverted pendulum is of important practice meaning to the high technology such as the rocket flight and the controlling of the robot.
因此，倒立摆的研究对于火箭飞行以及机器人的控制等现代高新技术的研究具有重要的实践意义。
And the paper discuss the non-linearity factor and disturbance factor in the inverted pendulum system, at the same time explain some rules in the designing circuit.
并讨论了倒立摆系统的非线性因素和干扰因素，以及对电路设计时应注意的问题。
We applied successfully the proposed adaptive HODFC to the inverted pendulum stabilization and regulation, and the SISO and MIMO chaotic system control synchronization.
利用自适应高阶微分反馈控制器实现倒立摆的鲁棒镇定与调节，实现了SISO和MIMO混沌系统控制与同步。
Modeling an inverted pendulum. Generally the inverted pendulum system is modeled as a linear system, and hence the modeling is valid only for small oscillations of the pendulum.
为倒立摆建模。通常倒立摆系统建模成一个线形系统，因此模型只对小幅度摆动的摆才有效。
The inverted pendulum, folded pendulum, X pendulum and conical pendulum ultra-low frequency vibration isolation systems, which are developed from single pendulum, are introduced.
介绍了由单摆改进而成的倒摆、折叠摆、x摆和锥摆等超低频水平隔振系统。
The contents of this paper consists of the design and realization of motion control model for the inverted pendulum servo system, modeling and emulating of the inverted pendulum.
本课题主要完成倒立摆伺服系统运动控制模块的设计和实现，对倒立摆系统进行建模和仿真，在此基础上完成了对单级倒立摆的稳定平衡控制。
Finally realized the inverted pendulum system's practicality control by each kind of intelligent control algorithm through programming, and obtained the satisfying control effect.
最后通过编程实现了各种智能控制算法对倒立摆系统中的实物控制，均取得了令人满意的控制效果。
The helicopter, rocket flight, man-made satellite running, robot's weight lifting, doing gymnastics and hoofing are all similar to the stable controlling of the inverted pendulum system.
直升飞机、火箭飞行、人造卫星的运行、机器人的举重、做体操、及机器人的行走都存在有类似于倒立摆系统稳定控制相似问题。
Movable equation of the inverted pendulum is derived, according to the dynamics analysis method of Lagrange. By system feasible approximation, an easily analytical math model is deduced.
基于拉格朗日动力学分析方法，推导出倒立摆的运动方程，在对系统进行可行的近似化处理后，得出了便于分析的数学模型。
For the inverted pendulum system with multi-variable and nonlinear characteristic, a double closed-loop cascade fuzzy control approach was put forward based on Takagi-Sugeno fuzzy model.
在对火电厂过热汽温控制对象特点分析基础上，保留串级控制抗内扰的性能，结合模糊控制动态特性好的特点，提出了一种复合模糊串级控制设计。
The balancing beam system is a new experimental device of control theory, whose theory is similar to the inverted pendulum system but structure more approaching to the practice of engineering.
平衡梁是一种新型的控制理论实验装置，原理类同于倒立摆，但其结构更接近于工程实际。
The mathematical model of inverted pendulum system is built, and a controller is designed based on the pole placement method with full state feedback to make the inverted pendulum system work stably.
通过建立倒立摆系统的数学模型，应用状态反馈控制配置系统极点设计倒立摆系统的控制器，实现其状态反馈，从而使倒立摆系统稳定工作。
The simulation experiments on the second subsystem of the inverted pendulum show that the effect on improving tracking performance is prominent and the controller's design is reasonable and available.
对倒立摆二阶子系统的仿真，实验表明跟踪性能改善的效果是明显的，证明控制器的设计是合理和有效的。
The simulation experiments on the second subsystem of the inverted pendulum show that the effect on improving tracking performance is prominent and the controller's design is reasonable and available.
对倒立摆二阶子系统的仿真，实验表明跟踪性能改善的效果是明显的，证明控制器的设计是合理和有效的。
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