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相关概念视频

State Space Representation01:27

State Space Representation

166
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
166
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

66
Nonlinear systems often require sophisticated approaches for accurate modeling and analysis, with state-space representation being particularly effective. This method is especially useful for systems where variables and parameters vary with time or operating conditions, such as in a simple pendulum or a translational mechanical system with nonlinear springs.
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
66
State Space to Transfer Function01:21

State Space to Transfer Function

175
The conversion of state-space representation to a transfer function is a fundamental process in system analysis. It provides a method for transitioning from a time-domain description to a frequency-domain representation, which is crucial for simplifying the analysis and design of control systems.
The transformation process begins with the state-space representation, characterized by the state equation and the output equation. These equations are typically represented as:
175
Transfer Function to State Space01:23

Transfer Function to State Space

197
State-space representation is a powerful tool for simulating physical systems on digital computers, necessitating the conversion of the transfer function into state-space form. Consider an nth-order linear differential equation with constant coefficients, like those encountered in an RLC circuit. The state variables are selected as the output and its n−1 derivatives. Differentiating these variables and substituting them back into the original equation produces the state equations.
In an...
197
Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

42
Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
42
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models01:06

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

60
Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
60

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相关实验视频

Updated: Jun 9, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

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基于准高斯模拟模糊近似的参数合状态空间模型.

Yizhi Wang1,2, Fengyuan Ma3, Xiaomin Tian3

  • 1College of Intelligent Science and Control Engineering, Jinling Institute of Technology, Nanjing, 210000, China. w_yz@jit.edu.cn.

Scientific reports
|October 30, 2024
PubMed
概括

本研究介绍了准高斯模糊系统 (QGFS),以改善模糊控制. 新的准高斯成员函数增强了机械系统建模中的解释性和近似精度.

关键词:
模糊近似方法的模糊近似方法参数合模型的模型制药设备 制药设备 制药设备准高斯模糊集 准高斯模糊集国家空间模型国家空间模型

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Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques
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Gain-compensation Methodology for a Sinusoidal Scan of a Galvanometer Mirror in Proportional-Integral-Differential Control Using Pre-emphasis Techniques

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相关实验视频

Last Updated: Jun 9, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

8.9K
Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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科学领域:

  • 工程 工程师 工程师 工程师
  • 计算机科学 计算机科学
  • 控制系统 控制系统

背景情况:

  • 模糊系统对于控制系统设计至关重要,但它们的解释性和准确性取决于成员功能性能.
  • 现有的会员功能提供了敏感性或可解释性,在模糊系统设计中产生了权衡.

研究的目的:

  • 引入一种新的准高斯成员函数,将三角函数的灵敏度与高斯函数的可解释性相结合.
  • 开发准高斯模糊系统 (QGFS) 以提高机械系统建模中的近似精度和可解释性.
  • 验证 1-D 和 2-D QGFS 在近似复杂机械模型,特别是脱氧化道中的有效性.

主要方法:

  • 一个二维 (2-D) 准高斯成员函数的导出.
  • 使用矩形网格建立准高斯模糊系统 (QGFS) 的方法的开发.
  • 使用正弦函数验证近似属性,并将其应用于除氧化道的机械模型.

主要成果:

  • 拟议的准高斯成员函数实现了三角函数的灵敏度和高斯函数的可解释性.
  • 一维 (1D) 和2D QGFS在应用到正弦函数时,显示了 ±5%范围内的近似误差.
  • 1-D和2-D QGFS成功地近似了除氧化道的机械模型,并取得了令人满意的结果.
  • 2D QGFS有效地描述了具有合参数的模型.

结论:

  • 准高斯模糊系统 (QGFS) 是一种有希望的方法,可以提高模糊控制和系统建模中的准确性和可解释性.
  • 开发的准高斯成员函数和QGFS方法对于近似复杂的机械系统,包括制药行业的系统是有效的.
  • 2D QGFS 在具有相互连接参数的建模系统中表现出特别强大的优势,为更复杂的控制设计铺平了道路.