通过基于有限时间方案的自适应滑动模式控制,用于不确定分数反应扩散系统的投影同步
IEEE transactions on neural networks and learning systems
|August 10, 2023
概括
本研究引入了对于不确定的分数级反应扩散系统的分数适应滑动模式控制,实现有限时间投射同步. 改进的控制规律提供了更好的性能和更低的振荡.
科学领域:
- 混沌与控制理论
- 非线性动力学是一种非线性动力学.
- 分数微积分的计算.
背景情况:
- 分数顺序 (FO) 系统表现出复杂的动态.
- 反应-扩散系统对于建模空间现象至关重要.
- 投射同步是非线性系统控制的一个关键概念.
研究的目的:
- 研究不确定的FO反应-扩散系统的投射同步.
- 开发一种新的分数自适应滑动模式控制 (SMC) 策略.
- 为了确保分数滑动模式表面 (SMS) 的有限时间可达性.
主要方法:
- 一个FO整体类型切换功能的设计.
- 导出适应性SMC规律用于有限时间的融合.
- 开发一个新的参数来证明FO SMS的有限时间可访问性.
- 引入了改进的控制法律,减少了振荡.
主要成果:
- 在这些系统中,第一次实现了有限时间投射同步.
- 拟议的适应性SMC法律保证了FO SMS在有限的时间内可访问.
- 改进的控制规则表明性能提高和振荡减少.
结论:
- 分数适应性SMC方法对于不确定的FO反应扩散系统的投射同步是有效的.
- 开发的控制定律和定理为有限时间控制提供了一个强大的框架.
- 数字模拟验证了理论发现和控制效率.
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