在采样数据控制系统中采样稳定性为零,使用逆向三角样本和持有延迟
Minghui Ou1,2, Yuancheng Luo3, Zhenjie Yan3
1College of Big Data and Internet of Things, Chongqing Vocational Institute of Engineering, Chongqing, 402260, People's Republic of China. ouminghui@cqvie.edu.cn.
Scientific reports
|July 29, 2025
概括
这项研究调查了时间延迟.
科学领域:
- 控制系统工程 控制系统工程
- 系统理论系统理论
- 信号处理 信号处理
背景情况:
- 由于通信和计算延迟,采样数据 (SD) 控制系统的时间延迟已知会影响零动态稳定性.
- 然而,这些延迟对采样零点的具体影响仍然是一个未经探索的领域.
- 了解采样零稳定性对于预测和确保SD控制系统的整体性能至关重要.
研究的目的:
- 调查时间延迟对采样数据控制系统中采样零值稳定性的影响.
- 通过使用逆向三角样本和持有 (BTSH) 方法,建立采样零稳定性在时间延迟下的新条件.
- 为了将BTSH的稳定性性能与延迟系统中的传统零订单持有 (ZOH) 方法进行比较.
主要方法:
- 使用倒向三角样本和持有 (BTSH) 方法在采样数据系统中进行信号重建,时间延迟.
- 在BTSH下分析了采样零关于系统相对度和延迟大小的非对称行为.
- 在延迟系统中采样零值的衍生显式稳定性条件.
主要成果:
- 使用BTSH方法确定了采样零稳定性在时间延迟下的新条件.
- 分析揭示了采样零的非对称行为,与延迟大小和相对程度有关.
- 一项比较分析显示,BTSH在管理延迟诱导的零动态挑战方面比ZOH具有明显的优势.
结论:
- 与ZOH相比,BTSH方法在采样数据控制系统中提供了与延迟诱导的零动态挑战的改进管理.
- 导出的稳定性条件为设计可靠的控制系统在存在时间延迟时提供了关键的见解.
- 这项研究有助于更深入地了解采样零行为和延迟采样数据系统中的稳定性.
相关概念视频
01:11Sampling Continuous Time Signal
350
In signal processing, a continuous-time signal can be sampled using an impulse-train sampling technique, followed by the zero-order hold method. Impulse-train sampling involves the use of a periodic impulse train, which consists of a series of delta functions spaced at regular intervals determined by the sampling period. When a continuous-time signal is multiplied by this impulse train, it generates impulses with amplitudes corresponding to the signal's values at the sampling points.
In the...
In the...
350
01:10Reconstruction of Signal using Interpolation
345
Signal processing techniques are essential for accurately converting continuous signals to digital formats and vice versa. When a continuous signal is sampled with a period T, the resulting sampled signal exhibits replicas of the original spectrum in the frequency domain, spaced at intervals equal to the sampling frequency. To handle this sampled signal, a zero-order hold method can be applied, which creates a piecewise constant signal by retaining each sample's value until the next...
345
01:24Transient and Steady-state Response
278
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...
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state...
278
01:15Sampling Theorem
771
In signal processing, the analysis of continuous-time signals, denoted as x(t), often involves sampling techniques to convert these signals into discrete-time signals. This process is essential for digital representation and manipulation. A critical component in sampling is the train of impulses, characterized by the sampling interval and the sampling frequency. The relationship between these parameters and the original signal's properties dictates the success of the sampling process.
771
01:27Time and frequency -Domain Interpretation of PI Control
207
Proportional-Integral (PI) controllers are essential in many control systems to improve stability and performance. They are commonly used in everyday devices like thermostats to enhance system damping and reduce steady-state error. When the zero in the controller's transfer function is optimally placed, the system benefits significantly in terms of stability and accuracy.
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
Acting as a low-pass filter, the PI controller slows the system's response and extends settling times. This requires...
207
01:28Stability
188
The time response of a linear time-invariant (LTI) system can be divided into transient and steady-state responses. The transient response represents the system's initial reaction to a change in input and diminishes to zero over time. In contrast, the steady-state response is the behavior that persists after the transient effects have faded.
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
The stability of an LTI system is determined by the roots of its characteristic equation, known as poles. A system is stable if it produces a bounded...
188