网络非线性系统的状态估计与非周期性采样延迟测量
Xincheng Zhuang1, Yang Tian1, Haoping Wang1
1School of Automation, Nanjing University of Science and Technology, Nanjing, 210094, China.
ISA transactions
|November 24, 2024
概括
本研究引入了一种新的采样数据非亲属非线性观察器,用于在网络非线性系统中远程状态估计. 观察者有效地处理非周期性采样延迟测量,提高估计准确性和稳定性.
科学领域:
- 控制系统工程 控制系统工程
- 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:
- 远程状态估计对于联网的非线性系统至关重要.
- 定期采样的延迟测量对观察者设计构成重大挑战.
- 现有的方法往往难以应对非相亲非线性和时间延迟的复杂性.
研究的目的:
- 开发一种新的观察器,用于远程估计网络非线性系统的状态.
- 为了应对非周期性采样延迟测量所带来的挑战.
- 确保国家估计的稳定性和趋同性.
主要方法:
- 一个新的采样数据非亲缘非线性观察员 (SNNO) 的设计.
- 观察者的分解成连续时间和辅助变量组件.
- 运用基于轨迹的稳定理论来证明输入到状态的稳定性.
- 分析收率与抽样/延迟期之间的关系.
主要成果:
- 拟议的SNNO有效地弥补了由采样延迟测量引起的输出估计错误.
- 观察者的输入到状态稳定性被严格证明.
- 引入了一个新的理论工具来分析关于采样和延迟参数的收率.
- 模拟证明了观察者的表现和优越性比现有方法.
结论:
- 开发的SNNO提供了一个强大的解决方案,用于在具有挑战性的网络非线性系统中进行远程状态估计.
- 辅助变量补偿方案为处理采样延迟数据提供了一种新的方法.
- 该理论框架增强了对在时间变化的条件下观察者动态的理解.
相关概念视频
01:21Linear Approximation in Time Domain
64
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,...
For a simple pendulum with a mass evenly distributed along its length and the center of mass located at half the pendulum's length,...
64
01:26Linear Approximation in Frequency Domain
85
Linear systems are characterized by two main properties: superposition and homogeneity. Superposition allows the response to multiple inputs to be the sum of the responses to each individual input. Homogeneity ensures that scaling an input by a scalar results in the response being scaled by the same scalar.
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
In contrast, nonlinear systems do not inherently possess these properties. However, for small deviations around an operating point, a nonlinear system can often be approximated as linear....
85
01:18Second Order systems II
90
In an underdamped second-order system, where the damping ratio ζ is between 0 and 1, a unit-step input results in a transfer function that, when transformed using the inverse Laplace method, reveals the output response. The output exhibits a damped sinusoidal oscillation, and the difference between the input and output is termed the error signal. This error signal also demonstrates damped oscillatory behavior. Eventually, as the system reaches a steady state, the error diminishes to zero.
90
01:26Feedback control systems
286
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...
286
01:26Classification of Systems-I
169
Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
Homogeneity dictates that if an input x(t) is multiplied by a constant c, the output y(t) is multiplied by the same constant. Mathematically, this is expressed as:
169
01:27State Space Representation
165
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
Consider an RLC circuit, a...
165