The Newton-Euler method is used to set up a mathematical model for the inverted pendulum, and then a pendulum controller is designed by using an optimal control method in a linear quadratic form. 用牛顿-欧拉方法建立了倒立摆的数学模型,在此基础上采用线性二次型最优控制方法设计了倒立摆的控制器。
Design of mathematical model for controllable five-bar mechanism with double pendulum 双摆块受控五杆机构数学模型的设计
Mathematical modelling and study of controllability of a triple inverted pendulum on an inclined rail 倾斜轨道上的三级倒立摆数学模型的建立与可控性研究
First, This paper gives a systematic summary on the development of nonlinear observers and the inverted pendulum. In chapter 2, the structure and mathematical model of pendulum I, II, III are introduced. 围绕倒立摆这一系统,本文首先介绍了一、二、三级倒立摆的结构以及通用数学及仿真模型,分析了倒立摆实际系统中的非线性因素。
Mathematical Model of Cart Inverted Pendulum System 小车-倒立摆系统数学模型
The hardware structure of the four level inverted pendulum control system is presented. The observability mathematical model and the system construction of the four level inverted pendulum are analyzed. 文章给出了四级倒立摆系统的硬件组成,分析了四级倒立摆的系统结构、建立了数学模型。
Aiming at the center of strike approaches to the center of percussion, the mathematical model in optimal design of pendulum is established, and the optimal design carried out by using FORTRAN language. 以打击点尽量靠近打击中心为目标函数,建立了摆锤优化设计数学模型,并采用FORTRAN语言编程进行了优化设计;
Through analyzing the double closed-loop control mathematical model of single inverted pendulum, the fuzzy control theory was adopted to carry out computer simulation for inverted pendulum. 通过对单级倒立摆的双闭环的控制数学模型的分析,采用模糊控制理论对倒立摆的控制系统进行计算机仿真。
To the deficiency of traditional fuzzy control the mathematical model on the triple inverted pendulum is presented, and its control ability is verified, by using the theory-region changed adaptive fuzzy control theory. 针对传统模糊控制的不足,以三级倒立摆为例,应用变论域自适应模糊控制理论,给出了三级倒立摆的数学模型,并验证了其可控性。
The mathematical model in optimal design of pendulum 摆锤优化设计的数学模型
The key mechanical parts and the pendulum series structure are deeply studied, and some mathematical models of the pendulum series motion are founded. 深入地研究了重要机械零部件和摆系结构,建立了摆系运动的多项数学模型。
After the success of the inverted pendulum swung up, the mathematical model is made linear on the inverted balance point and through the linear model the inverted pendulum is kept stable on the inverted point by linear quadratic optimal control. 在倒立摆成功摆起后,在倒立平衡点对系统模型进行线性化,并用线性二次型最优控制(LQR)算法对倒立摆线性化模型进行稳定控制。
In this paper, a non linear mathematical model is established for an inverted pendulum system. On the basis of analysis, a fuzzy control program is designed for the inverted pendulum system. 本文建立了倒立摆的一种非线性数学模型,在分析的基础上,为倒立摆系统设计了一种模糊控制方案。
After concisely introducing the development and current situation of inverted pendulum system research, the mechanism and mathematical model of inverted pendulum system are presented. 本文在阐述了倒立摆控制的研究发展过程和现状之后,介绍了倒立摆系统的结构和数学模型。
This paper has analyzed the movement of cart inverted pendulum from the view of kinematics, and set the mathematical models of the cart inverted pendulum using dynamics knowledge, Langrage equation and the state space method. 从刚体运动学角度分析了小车-单级、二级和三级倒立摆系统的运动,并利用有关动力学基础和拉格朗日方程,运用状态空间法对各级倒立摆系统进行数学模型的建立。
Thirdly, it analyzes the mathematical model of the single inverted pendulum system, and completes the status feedback and system simulation with MATLAB. Based on the experiment platform system, the program is compiled to control the system making used of LQR method. 编程控制了一级倒立摆实验平台系统通过先前的系统建模、状态反馈设计,对系统进行了MATLAB控制仿真、用LQR方法编程实现对此一级倒立摆的最优控制。
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 mathematical model of the pendulum type automotive crash test bench and simulation programs are created with the vector network method. It is shown by simulation results that the vector network method is a effective method for simulation of dynamic mechanic systems. 采用矢量网络法建立了摆锤式汽车碰撞试验台的数学模型及仿真程序,仿真结果表明,矢量网络法是研究动态机械系统仿真的有效方法。
The golden section effect physical pendulum is a self-made teaching apparatus which use mathematical optimization method combined with physical pendulum and computer data processing. 金割效应物理摆是将数学中的优选法与物理实验中的复摆结合起来并用计算机处理数据的自制教学仪器。
Mathematical modeling of a flexible inverted pendulum 弹性倒立摆控制系统数学模型研究
Mathematical model of the higher four level inverted pendulum is particularly educed in this chapter. 并详细推导了四级倒立摆的数学模型,为更高层次的控制规律的研究提供了一个途径。
The mathematical model of the device is established with linear wave theory. The simulation of the pendulum is done with Matlab software, and motion curves of the pendulum are gained. 结合线性波浪理论,对装置进行了数值模拟。建立起装置的数学模型,结合Matlab软件对摆锤进行了运动仿真,得到了运动曲线。
Based on the kinematics analysis of PEF-600 × 900 compound pendulum jaw crusher, this design proposed the mathematical model of optimized structural parameters of the compound pendulum jaw crusher, solved the mathematical model with the complex method and MATLAB optimization toolbox. 本设计通过对PEF-600×900复摆颚式破碎机进行运动学分析,提出了复摆颚式破碎机的结构参数优化的数学模型,选用复合形法对数学模型进行求解,借助MATLAB优化工具箱求解。