一种3型模糊同步系统受到hysteresis量化器输入和未知的动态:适用于金融和物理混乱系统
Manwen Tian1, Ardashir Mohammadzadeh2, Hamid Taghavifar3
1School of Management, Guangdong University of Science and Technology, Dongguan 523083, China.
ISA transactions
|December 11, 2025
概括
这项研究介绍了一种新的自适应控制方法,使用3型模糊逻辑系统 (T3-FLS) 来同步混乱系统. 该方法有效地处理未知的动态和非线性,而不需要先前的系统知识.
科学领域:
- 控制系统工程 控制系统工程
- 混沌理论 混沌理论
- 模糊逻辑系统 模糊逻辑系统
背景情况:
- 混乱系统在同步和稳定方面存在挑战,原因是未知的动态和输入非线性.
- 现有的控制方法往往需要对系统方程的先验知识,这限制了它们的适用性.
研究的目的:
- 提出一种新的适应性控制策略,用于同步和稳定具有未知的动态和非线性质的混乱系统.
- 开发3型模糊逻辑系统 (T3-FLSs),用于对主和奴隶混乱系统的实时自适应建模.
- 为了应对控制设计中受部门限制的歇斯底里和量子化所带来的挑战.
主要方法:
- 使用3型模糊逻辑系统 (T3-FLS) 对混乱系统的自适应建模.
- 控制设计明确考虑了受部门限制的歇斯底里和量子化.
- 通过稳定性和稳定性分析来导出适应规律,以获得平稳的控制信号.
- 实时实现和广泛的模拟用于验证.
主要成果:
- 混乱系统的精确同步和稳定,尽管存在严重的不确定性和高噪音水平.
- 提出的方法证明了与非相同的混乱系统的稳定性.
- 产生的平滑控制信号没有声,稳定性分析证实了这一点.
结论:
- 与现有的模糊控制方法相比,基于T3-FLS的新型自适应控制方法为混乱系统同步提供了卓越的性能.
- 该方法处理未知的动态,非线性和输入干扰的能力使其非常有效和广泛适用.
相关概念视频
01:24BIBO stability of continuous and discrete -time systems
869
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....
869
01:23Linear time-invariant Systems
841
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...
841
01:18Second Order systems II
369
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.
369
01:31Classification of Systems-II
446
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,
446
01:22Multi-input and Multi-variable systems
373
Cruise control systems in cars are designed as multi-input systems to maintain a driver's desired speed while compensating for external disturbances such as changes in terrain. The block diagram for a cruise control system typically includes two main inputs: the desired speed set by the driver and any external disturbances, such as the incline of the road. By adjusting the engine throttle, the system maintains the vehicle's speed as close to the desired value as possible.
In the absence of...
In the absence of...
373
01:24One-Degree-of-Freedom System
767
In mechanical engineering, one-degree-of-freedom systems form the basis of a wide range of electrical and mechanical components. Using these models, engineers can predict the behavior of various parts in a larger system, which gives them insight into how different forces interact with each other.
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
A one-degree-of-freedom system is defined by an independent variable that determines its state and behavior. One example of a one-degree-of-freedom system is a simple harmonic oscillator, such as a...
767