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相关概念视频

Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

125
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,...
125
Linear Approximation in Frequency Domain01:26

Linear Approximation in Frequency Domain

131
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
131
Second Order systems II01:18

Second Order systems II

172
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
172
PD Controller: Design01:26

PD Controller: Design

352
In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
352
State Space Representation01:27

State Space Representation

286
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...
286
First Order Systems01:21

First Order Systems

163
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
163

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相关实验视频

Updated: Sep 12, 2025

Experimental Investigation of Secondary Flow Structures Downstream of a Model Type IV Stent Failure in a 180° Curved Artery Test Section
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控制器设计用于使用波形变换的近似非线性系统.

Rajeev Ranjan Pathak1, Anindita Sengupta2, Rimi Paul3

  • 1Department of Electrical & Electronics Engineering, KLE Technological University, Hubballi, India.

ISA transactions
|August 7, 2025
PubMed
概括
此摘要是机器生成的。

本研究引入了一种用于非线性系统控制的新浪波变形 (WT) 方法. 该方法在基准系统上得到验证,比线性化提供了更高的性能,增强了复杂动态的控制器设计.

关键词:
和搜索算法 和搜索算法倒置的摆子 倒置的摆子利亚普诺夫 稳定性分析最低描述 长度 标准 最低描述 长度 标准非线性系统是非线性系统.波形转换近似模型 波形转换近似模型

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科学领域:

  • 控制工程 控制工程 控制工程
  • 信号处理 信号处理
  • 应用数学 应用数学 应用数学

背景情况:

  • 非线性系统在控制设计中存在重大挑战.
  • 传统的线性化技术往往过于简化了系统动态,导致性能不足于最佳.
  • 准确的系统建模对于有效的控制器开发至关重要.

研究的目的:

  • 为控制器设计开发一种使用波形变换 (WT) 系数表示非线性函数的方法.
  • 为基于WT的近似模型 (WTAM) 引入一个自适应滑动模式控制器 (ASMC).
  • 在基准非线性系统上验证拟议的基于WT的控制策略.

主要方法:

  • 使用波形变换 (WT) 系数表示非线性函数表示.
  • 通过最低描述长度 (MDL) 标准选择最佳母波段 (MW).
  • 适应滑动模式控制器 (ASMC) 的设计,使用和搜索算法 (HSA) 进行调整.
  • 用于控制器稳定性验证的利亚普诺夫稳定性分析.

主要成果:

  • 基于WT的近似技术在基准非线性系统中被证明优于标准线性化.
  • 设计的ASMC有效地处理了无限干扰,参数不确定性和聊天.
  • 在WTAM上进行实时验证,证明了控制器的效率.

结论:

  • 波形变换 (WT) 为近似非线性函数提供了一种有效的方法,方便了控制器设计.
  • 拟议的自适应滑动模式控制器 (ASMC) 为非线性系统提供了强大而稳定的控制.
  • 这种基于WT的方法代表了非线性控制工程的重大进步.