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相关概念视频

Linear time-invariant Systems01:23

Linear time-invariant Systems

262
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...
262
Feedback control systems01:26

Feedback control systems

317
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...
317
Classification of Systems-II01:31

Classification of Systems-II

149
Continuous-time systems have continuous input and output signals, with time measured continuously. These systems are generally defined by differential or algebraic equations. For instance, in an RC circuit, the relationship between input and output voltage is expressed through a differential equation derived from Ohm's law and the capacitor relation,
149
Time-Domain Interpretation of PD Control01:07

Time-Domain Interpretation of PD Control

119
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...
119
Transient and Steady-state Response01:24

Transient and Steady-state Response

186
In control systems, test signals are essential for evaluating performance under various conditions. The ramp function is effective for systems undergoing gradual changes, while the step function is suitable for assessing systems facing sudden disturbances. For systems subjected to shock inputs, the impulse function is the most appropriate test signal.
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state...
186
Linear Approximation in Time Domain01:21

Linear Approximation in Time Domain

83
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,...
83

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相关实验视频

Updated: Jul 11, 2025

A Method for Tracking the Time Evolution of Steady-State Evoked Potentials
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对于线性时间变化系统的事件触发的无周期间歇控制.

Guanglei Wu1, Xiaotai Wu1, Jinde Cao2

  • 1Key Laboratory of Advanced Perception and Intelligent Control of High-end Equipment, Ministry of Education, Anhui Polytechnic University, Wuhu 241000, China.

ISA transactions
|November 17, 2023
PubMed
概括

本研究介绍了线性时间变量系统 (LTVS) 的事件触发无周期间歇控制 (AIC),使其在没有连续反的情况下保持稳定. 这种方法提高了实际应用的控制效率.

关键词:
事件触发机制 事件触发机制间歇性控制的间歇性控制线性时间变量系统.

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相关实验视频

Last Updated: Jul 11, 2025

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科学领域:

  • 控制系统工程 控制系统工程
  • 系统理论 系统理论
  • 应用数学 应用数学 应用数学

背景情况:

  • 线性时变系统 (LTVS) 的传统控制方法通常需要持续的反,这在许多现实场景中是不切实际的或不可能的.
  • 需要更有效和更适应的控制策略,推动了对间歇性控制方法的研究.
  • 事件触发机制提供了一种减少控制信号频率的方法,只在必要时激活控制.

研究的目的:

  • 开发和分析线性时间变量系统 (LTVS) 的事件触发无周期间歇控制 (AIC).
  • 根据事件触发的AIC,为LTVS建立稳定性标准 (统一,全局异常和有限时间).
  • 设计有效的间歇控制器,采用零碎的恒定反方法.

主要方法:

  • 使用Lyapunov函数来设计一个事件触发机制来确定控制瞬间.
  • 开发理论框架来证明对受控的LTVSs的统一稳定性,全局非对称稳定性和有限时间稳定性.
  • 为间歇控制器实施逐步的恒定反控制策略.

主要成果:

  • 证明了LTVS事件触发AIC的可行性,克服了连续控制的局限性.
  • 根据拟议的控制方案,建立了严格的条件,以实现不同类型的稳定性 (统一,全局不对称,有限时间).
  • 设计了有效的间歇控制器,可以降低控制力度,同时保持系统稳定性.

结论:

  • 事件触发的AIC是LTVS的可行和高效的控制策略,特别是当连续控制是不可行的.
  • 提出的方法为分析和设计稳定的控制系统提供了强大的框架,控制活动减少.
  • 数字示例验证了事件触发的AIC方法对LTVS的有效性.