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相关概念视频

Time and frequency -Domain Interpretation of Phase-lag Control01:21

Time and frequency -Domain Interpretation of Phase-lag Control

424
Phase-lag controllers are widely used in control systems to improve stability and reduce steady-state errors. A dimmer switch controlling the brightness of a light bulb serves as a practical example of phase-lag control, gradually adjusting the bulb's brightness. Mathematically, phase-lag control or low-pass filtering is represented when the factor 'a' is less than 1.
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
424
Time and frequency -Domain Interpretation of Phase-lead Control01:24

Time and frequency -Domain Interpretation of Phase-lead Control

481
Phase-lead controllers are commonly used in various control systems to enhance response speed and stability. Adjusting the brightness on a television screen offers a practical example of phase-lead control. When contrast is enhanced, a phase-lead controller is employed. Mathematically, phase-lead control is identified when the first parameter is smaller than the second.
The design of phase-lead control involves the strategic placement of poles and zeros to balance steady-state error and system...
481
Feedback control systems01:26

Feedback control systems

735
Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
Linear feedback systems are theoretical models that simplify analysis and design. These systems operate under the principle that their output is directly proportional to their input within certain ranges. For instance, an amplifier in a control system behaves linearly as long as the input signal remains within a specific range. However, most physical systems exhibit inherent nonlinearity...
735
Control of Power Flow01:30

Control of Power Flow

703
There are several methods to control power flow in power systems:
703
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

415
Proportional-Derivative (PD) control is a widely used control method in various engineering systems to enhance stability and performance. In a system with only proportional control, common issues include high maximum overshoot and oscillation, observed in both the error signal and its rate of change. This behavior can be divided into three distinct phases: initial overshoot, subsequent undershoot, and gradual stabilization.
Consider the example of control of motor torque. Initially, a positive...
415
Linear time-invariant Systems01:23

Linear time-invariant Systems

966
A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
The input-output behavior of an LTI system can be fully defined by its response to an impulsive excitation at its input. Once this impulse response is known, the system's reaction to any other input can be...
966

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在网络上切换中性菲利普洛夫系统的实用固定时间控制.

Fanchao Kong, Pingping Meng, Shuaibing Zhu

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    本研究介绍了切换中性菲利普诺夫系统的实用固定时间控制,用新的利亚普诺夫不等式增强稳定性分析,并解决准确状态趋同的现实世界的局限性.

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    相关实验视频

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    科学领域:

    • 控制理论 控制理论
    • 非线性系统分析 非线性系统分析
    • 网络化系统 网络化系统

    背景情况:

    • 交换中性菲利普洛夫系统 (SNFS) 由于不连续的扰动和中性逻辑而存在挑战.
    • 现有的有限时间控制方法在现实应用中往往缺乏实践准确性.

    研究的目的:

    • 为网络上的 SNFS 开发实用的固定时间 (FxT) 控制策略.
    • 为具有不连续扰动和延迟的系统建立新的稳定性分析技术.
    • 解决现有的有限时间控制在实现准确的状态趋同方面存在的局限性.

    主要方法:

    • 开发新的Lyapunov不等式与不确定的函数用于结算时间 (ST) 估计.
    • 建立实际的FxT稳定性定理,具有有限的无限函数.
    • 使用Lyapunov-Krasovskii函数 (LKFs) 来处理系统延迟的自适应控制策略的设计.

    主要成果:

    • 新型Lyapunov不等式提供了详细的ST估计,包括现有结果.
    • 首次引入了有界无限函数的实用FxT稳定性定理.
    • 适应性控制成功实现了SNFS的FxT和实用FxT同步,具有延迟.
    • 解决了使用Lyapunov函数的延迟系统的FxT稳定性分析中的理论缺陷.

    结论:

    • 提出的方法为SNFS的FxT控制提供了更实用的方法,特别是在网络环境中.
    • 该研究克服了分析和控制延迟SNFSs的关键理论和实践挑战.
    • 在LC输电线路上的数值模拟验证了开发的控制策略的有效性.