在变化时间的传输延迟下,对联网周期性零碎线性系统进行异步控制
Panshuo Li1, James Lam2, Chenchen Fan3
1School of Automation, Guangdong Province Key Laboratory of Intelligent Decision and Cooperative Control, Guangdong University of Technology, Guangzhou 510006, China; Guangdong-Hong Kong Joint Laboratory for Intelligent Decision and Cooperative Control, Guangzhou 510006, China.
ISA transactions
|April 19, 2024
概括
本研究分析了带有传输延迟的联网周期性零碎线性系统. 新的方法确保了这些复杂系统的稳定性,即使在不确定的切换和延迟的情况下.
科学领域:
- 控制系统工程 控制系统工程
- 网络系统分析 网络系统分析
- 非线性动力学是一种非线性动力学.
背景情况:
- 在现代控制应用中,联网的周期断片线性系统 (NPPLS) 是至关重要的.
- 时间变化的传输延迟和异步控制带来了重大的稳定性挑战.
- 现有的方法往往在不确定切换的系统中产生保守的结果.
研究的目的:
- 为NPPLS开发不那么保守的稳定性和合成条件,具有变化时间的传输延迟.
- 为了解决异步控制和不确定的开关间隔引起的复杂性.
- 为分析和控制这些系统提供一个强大的框架.
主要方法:
- 将NPPLS建模为具有时间变化的输入延迟的异步控制系统.
- 将子系统停留时间划分为子间隔以捕捉动态特征.
- 构建零碎的利亚普诺夫函数和取决于延迟的时间变化的利亚普诺夫函数.
- 采用可处理的指数稳定性条件的缩放技术.
- 开发一种代算法来解决周期控制器增益的问题.
主要成果:
- 在传输延迟的情况下,NPPLS的一般稳定性条件得到了推导.
- 使用利亚普诺夫函数和缩放技术建立了可追溯指数稳定性条件.
- 一个代算法有效地确定了定期控制器收益.
- 与现有方法相比,拟议的方法显示了较低的保守主义.
结论:
- 开发的Lyapunov功能方法有效地处理NPPLS中不确定的切换.
- 该研究在延迟的网络控制系统的稳定性分析方面取得了重大进展.
- 提出的代算法为复杂的网络系统中控制器合成提供了实际的解决方案.
相关概念视频
01:23Linear time-invariant Systems
253
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...
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...
253
01:26Feedback control systems
307
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...
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...
307
01:26Transmission-Line Differential Equations
284
Transmission lines are essential components of electrical power systems. They are characterized by the distributed nature of resistance (R), inductance (L), and capacitance (C) per unit length. To analyze these lines, differential equations are employed to model the variations in voltage and current along the line.
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
Line Section Model
A circuit representing a line section of length Δx helps in understanding the transmission line parameters. The voltage V(x) and current i(x) are measured...
284
01:07Time-Domain Interpretation of PD Control
98
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...
Consider the example of control of motor torque. Initially, a positive...
98
01:21Time and frequency -Domain Interpretation of Phase-lag Control
90
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...
Phase-lag controllers do not place a pole at zero, but instead influence the steady-state error by amplifying any...
90
01:24BIBO stability of continuous and discrete -time systems
391
System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
To determine the BIBO stability, the convolution integral is utilized when a bounded continuous-time input is applied to a Linear Time-Invariant (LTI) system....
391