相关实验视频
Updated: Jun 24, 2025
07:46
A Method for Growing Bio-memristors from Slime Mold
Published on: November 2, 2017
8.9K
对于具有时间延迟的不确定分数级反应扩散记忆器神经网络的滑动模式控制
Yue Cao1, Yonggui Kao1, Zhen Wang2
1Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China.
概括
这项研究引入了一种新的滑动模式控制不确定延迟分数顺序的memristor神经网络. 该方法确保了滑动模式表面的有限时间稳定性和可达性,通过数值模拟进行验证.
科学领域:
- 控制理论 控制理论
- 计算神经科学是一种神经科学.
- 非线性动力学是一种非线性动力学.
背景情况:
- 分数顺序系统提供了增强的建模功能.
- 记忆器神经网络表现出复杂的动态.
- 延迟反应-扩散系统带来了重要的控制挑战.
研究的目的:
- 为不确定的分数级延迟反应-扩散记忆器神经网络开发滑动模式控制策略.
- 设计一个线性滑动模式切换功能和控制规律.
- 为了保证滑动模式表面的全局非对称稳定性和有限时间可达性.
主要方法:
- 一个线性滑动模式切换功能的设计.
- 开发一种新的滑动模式控制规律.
- 用于稳定性分析的利亚普诺夫稳定性理论.
- 有限时间稳定性分析.
主要成果:
- 建立了足够的条件,以实现滑动模式动态的全局不对称稳定性.
- 滑动模式的表面被证明是有限的时间可达.
- 提供了最大到达时间的估计.
- 数字模拟证实了理论发现.
结论:
- 拟议的滑动模式控制方法有效地稳定了不确定的分数级延迟反应-扩散记忆器神经网络.
- 控制规律确保了与滑动表面的有限时间趋同.
- 该研究推进了对复杂的分数顺序神经网络系统的控制技术.
更多相关视频
08:07Assembly and Characterization of Biomolecular Memristors Consisting of Ion Channel-doped Lipid Membranes
Published on: March 9, 2019
7.8K
11:44Real-Time DC-dynamic Biasing Method for Switching Time Improvement in Severely Underdamped Fringing-field Electrostatic MEMS Actuators
Published on: August 15, 2014
10.3K
相关概念视频
01:26PD Controller: Design
219
In automotive engineering, car suspension systems often employ Proportional Derivative (PD) controllers to enhance performance. PD controllers are utilized to adjust the damping force in response to road conditions. A controller, acting as an amplifier with a constant gain, demonstrates proportional control, with output directly mirroring input.
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
Designing a continuous-data controller requires selecting and linking components like adders and integrators, which are fundamental in Proportional,...
219
01:07Time-Domain Interpretation of PD Control
94
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...
94
01:18Second Order systems II
101
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.
101
01:21First Order Systems
89
First-order systems, such as RC circuits, are foundational in understanding dynamic systems due to their straightforward input-output relationship. Analyzing their responses to different input functions under zero initial conditions reveals significant insights into system behavior.
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
When a first-order system is subjected to a unit-step input, its response is characterized by its transfer function. By applying the Laplace transform of the unit-step input to the transfer function, expanding the...
89
01:31Classification of Systems-II
140
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,
140
01:27Time and frequency -Domain Interpretation of PI Control
117
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...
117