steady-state error

简明释义

稳态误差

英英释义

例句

1.The steady-state error 稳态误差 in a temperature control system can lead to discomfort if not properly managed.

如果温度控制系统中的 steady-state error 稳态误差 未得到妥善管理，可能会导致不适。

2.A PID controller can be tuned to minimize the steady-state error 稳态误差 for a more accurate response.

PID控制器可以进行调节，以最小化 steady-state error 稳态误差，从而实现更精确的响应。

3.Engineers often analyze the steady-state error 稳态误差 to evaluate the performance of feedback systems.

工程师通常分析 steady-state error 稳态误差 来评估反馈系统的性能。

4.In control systems, the steady-state error 稳态误差 indicates how far the system output deviates from the desired value after transients have settled.

在控制系统中，steady-state error 稳态误差 表示系统输出在瞬态消退后与期望值之间的偏差。

5.An increase in system gain can reduce the steady-state error 稳态误差 in many applications.

在许多应用中，系统增益的增加可以减少 steady-state error 稳态误差。

作文

In control systems, the concept of steady-state error is crucial for understanding how well a system performs in the long run. The steady-state error refers to the difference between the desired output and the actual output of a system when it has settled into a stable operating condition, typically after the transient effects have dissipated. This error can arise from various factors such as system dynamics, disturbances, and the nature of the input signal. To illustrate this concept, consider a simple temperature control system in a home heating setup. The thermostat is set to maintain a room temperature of 22 degrees Celsius. Initially, when the heating system is turned on, the temperature may fluctuate due to the heating elements warming up and the air circulation within the room. However, once the system reaches equilibrium, the temperature should ideally stabilize at 22 degrees Celsius. If the actual temperature stabilizes at 21 degrees Celsius, then the steady-state error would be -1 degree Celsius. This indicates that the system is underperforming in achieving the desired temperature. The steady-state error can be categorized into three types based on the nature of the input signal: step input, ramp input, and parabolic input. For a step input, which is a sudden change in the desired output, the system may exhibit a finite steady-state error. In contrast, for a ramp input, where the desired output changes at a constant rate, the system may exhibit an infinite steady-state error unless it is designed with integral control. Parabolic inputs, which are even more aggressive, typically lead to larger steady-state errors if the system does not incorporate appropriate feedback mechanisms. One of the key techniques to minimize steady-state error in control systems is the implementation of feedback control strategies. By continuously measuring the output and adjusting the input accordingly, feedback control can significantly reduce the steady-state error. For instance, in our temperature control example, if the thermostat detects that the temperature is consistently 1 degree lower than desired, it can adjust the heating element's output to compensate for this discrepancy. Moreover, different control strategies such as Proportional-Integral-Derivative (PID) controllers provide sophisticated methods to address steady-state error. The proportional component responds to the current error, the integral component addresses the accumulation of past errors, and the derivative component predicts future errors based on the rate of change. By tuning these parameters, engineers can design systems that achieve minimal steady-state error while maintaining stability and responsiveness. In conclusion, understanding steady-state error is essential for engineers and designers working with control systems. It highlights the importance of achieving desired performance levels over time and informs the design of effective feedback control strategies. As technology advances and systems become more complex, the ability to manage steady-state error will remain a fundamental aspect of control theory, ensuring that systems operate efficiently and effectively in real-world applications.

在控制系统中，稳态误差的概念对于理解系统在长期内的性能至关重要。稳态误差是指系统在达到稳定工作状态后，期望输出与实际输出之间的差异，通常是在瞬态效应消散之后。此误差可能由于多种因素而产生，例如系统动态、干扰和输入信号的性质。为了说明这一概念，考虑一个简单的家庭供暖温控系统。温控器设置为维持房间温度为22摄氏度。最初，当供暖系统开启时，由于加热元件升温和房间内空气循环，温度可能会波动。然而，一旦系统达到平衡，温度理想情况下应稳定在22摄氏度。如果实际温度稳定在21摄氏度，那么稳态误差将为-1摄氏度。这表明该系统在实现期望温度方面表现不佳。根据输入信号的性质，稳态误差可以分为三类：阶跃输入、斜坡输入和抛物线输入。对于阶跃输入，即期望输出的突然变化，系统可能表现出有限的稳态误差。相比之下，对于斜坡输入，即期望输出以恒定速率变化的情况，如果未设计积分控制，系统可能表现出无限的稳态误差。抛物线输入更具攻击性，通常会导致更大的稳态误差，如果系统没有采用适当的反馈机制。减少控制系统中稳态误差的关键技术之一是实施反馈控制策略。通过不断测量输出并相应调整输入，反馈控制可以显著降低稳态误差。例如，在我们的温控示例中，如果温控器检测到温度持续低于设定值1摄氏度，它可以调整加热元件的输出以补偿这一差异。此外，不同的控制策略，如比例-积分-微分（PID）控制器，提供了处理稳态误差的复杂方法。比例部分响应当前误差，积分部分处理过去误差的累积，微分部分根据变化率预测未来误差。通过调整这些参数，工程师可以设计出在保持稳定性和响应性的同时，实现最小稳态误差的系统。总之，理解稳态误差对于从事控制系统工作的工程师和设计师至关重要。它突出了在一段时间内实现期望性能水平的重要性，并为有效的反馈控制策略设计提供了信息。随着技术的进步和系统变得更加复杂，管理稳态误差的能力将仍然是控制理论的基本方面，确保系统在现实应用中高效、有效地运行。