基于模糊增强学习的线性系统的控制与输入和
Kainan Liu1, Xiaojun Ban1, Shengkun Xie2
1Harbin Institute of Technology, Harbin, China.
ISA transactions
|January 25, 2025
概括
这项研究引入了一种新型的对输入和线性系统的最佳控制方法,它结合了Takagi-Sugeno模糊模型和强化学习. 该方法提高了可解释性,并处理实际控制应用的和挑战.
科学领域:
- 控制系统工程 控制系统工程
- 人工智能的人工智能
- 模糊逻辑系统 模糊逻辑系统
背景情况:
- 输入和是线性控制系统中常见的挑战,限制了性能和稳定性.
- 传统的强化学习 (RL) 方法往往缺乏可解释性,并与不可区分的和边界作斗争.
- 塔卡吉-苏格诺 (T-S) 模糊模型为近似复杂函数和结合先前知识提供了一个框架.
研究的目的:
- 为具有输入和的线性系统开发可解释和有效的最佳控制策略.
- 将TS模糊模型与RL集成,以克服传统基于神经网络的RL的局限性.
- 解决与和点不差异性和依赖RL未来状态的未来状态相关的挑战.
主要方法:
- 使用TS模糊模型对值函数和最佳控制规律的近似计算.
- 使用细分函数来近似和导数特征,管理不可差异性.
- 实施一种用于改善政策的新型梯度识别方法,而不依赖于下一个时间步骤的状态变量.
主要成果:
- 拟议的TS模糊模型和RL混合方法成功地为具有输入和的系统生成了最佳控制规律.
- 与基于标准神经网络的RL相比,该方法显示了增强的解释性.
- 计算机模拟验证了开发的控制策略的有效性,最佳性和收性.
结论:
- 这项研究为输入和系统的最佳控制提供了一个强大而实用的框架.
- TS模糊模型和RL的协同作用为现实世界的控制工程问题提供了多功能解决方案.
- 这种创新方法为推进控制理论及其应用做出了重大贡献.
更多相关视频
08:35Interactive and Visualized Online Experimentation System for Engineering Education and Research
Published on: November 24, 2021
2.4K
06:45Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
Published on: October 28, 2022
1.6K
相关概念视频
Feedback control systems
277
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...
277
Classification of Systems-I
168
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:
168
Linear Approximation in Time Domain
60
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,...
60
Linear 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
Control System Problem
98
In an open-loop system, such as a basic thermostat, the poles of the transfer function influence the system's response but do not determine its stability. However, when feedback is introduced to form a closed-loop system, such as an advanced thermostat that adjusts heating based on room temperature, stability is governed by the new poles of the closed-loop transfer function.
When forming a closed-loop system, issues can arise if the poles cross into the unstable region, leading to potential...
When forming a closed-loop system, issues can arise if the poles cross into the unstable region, leading to potential...
98
Open and closed-loop control systems
627
Control systems are foundational elements in automation and engineering. They are broadly categorized into open-loop and closed-loop systems. These classifications hinge on the presence or absence of feedback mechanisms, significantly influencing the system's performance, complexity, and application.
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
An open-loop control system operates without feedback from the output. It consists of two primary elements: the controller and the controlled process. The controller receives an input signal...
627
