对于持久停留时间切换的时间延迟神经网络而言,非脆弱的输出反控制:一个系统模式和时间调度器双重依赖的设计
Jianping Zhou1, Xiaofeng Ma1, Zhilian Yan2
1School of Computer Science & Technology, Anhui University of Technology, Ma'anshan, 243032, Anhui, China.
概括
本研究介绍了一种非脆弱的输出反控制器,用于具有持久停留时间 (PDT) 切换的时间延迟神经网络. 控制器确保稳定性和L2增益,尽管增益波动,超过简单的方法.
科学领域:
- 控制系统工程 控制系统工程
- 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:
- 时间延迟神经网络对于建模复杂系统至关重要,但容易发生不稳定.
- 持续停留时间 (PDT) 切换在维护系统稳定性和性能方面带来了挑战.
- 非脆弱的控制对于抵消现实应用中的控制器增益波动至关重要.
研究的目的:
- 为具有PDT切换的时间延迟神经网络设计一个非脆弱的输出反控制器.
- 为了保证控制器增益变化下的闭环系统的非对称稳定性和L2增益.
- 为了减少保守主义,开发一个依赖于系统模式和时间调度器的控制器.
主要方法:
- 使用Gronwall-Bellman不等式和数学归纳来进行稳定性和L2增益分析.
- 采用一个四个部分的时间依赖的Lyapunov-Krasovskii函数.
- 在控制器设计中应用非线性解技术.
- 开发基于PDT切换规则和最低时间跨度的时间安排器.
主要成果:
- 建立了对非对称稳定性和L2增益分析的标准.
- 为双依赖控制器提出了一个数字可处理的设计方法.
- 拟议的控制器证明了有效性和优越性,而不是独立于时间安排器的控制器.
- 模拟结果验证了拟议的控制设计.
结论:
- 开发的输出反控制器有效地解决了神经网络中的非脆弱性和时间延迟问题.
- 考虑系统模式和时间调度器的双依赖控制器,提供了更好的性能和减少了保守主义.
- 提出的方法为稳定复杂的神经网络系统提供了强大的解决方案.
相关概念视频
01:07Time-Domain Interpretation of PD Control
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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...
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01:26Feedback control systems
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Feedback control systems are categorized in various ways based on their design, analysis, and signal types.
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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...
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01:21Time and frequency -Domain Interpretation of Phase-lag Control
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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...
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01:35Long-term Potentiation
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Long-term potentiation, or LTP, is one of the ways by which synaptic plasticity—changes in the strength of chemical synapses—can occur in the brain. LTP is the process of synaptic strengthening that occurs over time between pre- and postsynaptic neuronal connections. The synaptic strengthening of LTP works in opposition to the synaptic weakening of long-term depression (LTD) and together are the main mechanisms that underlie learning and memory.
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01:24Transient and Steady-state Response
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In control systems, test signals are essential for evaluating performance under various conditions. The ramp function is effective for systems undergoing gradual changes, while the step function is suitable for assessing systems facing sudden disturbances. For systems subjected to shock inputs, the impulse function is the most appropriate test signal.
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state...
These test signals are integral in designing control systems to exhibit two key performance aspects: transient response and steady-state...
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01:31Classification of Systems-II
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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,
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