通过TS模糊方法对记忆混乱系统进行动态分析和预定时间间歇控制
Qiming Wang1,2,3, Leimin Wang1,2,3, Wudi Wen4
1School of Automation, China University of Geosciences, Wuhan 430074, China.
Chaos (Woodbury, N.Y.)
|February 3, 2025
概括
研究人员开发了一种新型的第四阶记忆混乱系统 (MCS),并证明了预先分配的时间稳定. 这种混乱的系统表现出独特的动态,可以控制特定的沉降时间,并通过模拟证实.
科学领域:
- 非线性动力学和控制控制
- 混沌理论 混沌理论
- 记忆系统 记忆系统
背景情况:
- 记忆式混乱系统 (MCS) 是具有独特动态行为的复杂非线性系统.
- 控制混乱和在有限或预定时间内实现稳定是非线性控制理论中的重大挑战.
研究的目的:
- 提出和分析一个新的第四阶级记忆混乱系统 (MCS).
- 调查拟议的MCS的动态行为,包括其平衡点,混乱吸引器和分叉.
- 为了解决使用间歇控制的MCS的预分配时间稳定问题.
主要方法:
- 详细分析动态行为:无限不稳定的平衡点,混乱的吸引力,利亚普诺夫指数,卡普兰-约克维度和分叉.
- 使用Takagi-Sugeno (T-S) 模糊方法对MCS进行表征,以简化非线性.
- 两个间歇控制器的设计,以实现预先分配的时间稳定性和可控制的沉降时间.
主要成果:
- 拟议的第四阶MCS表现出复杂的动态,包括一个混乱的吸引力.
- 使用TS模糊逻辑的简化模型有效地表示非线性memristor特性.
- 拟议的间歇控制器成功实现了预先分配的时间稳定性,定位时间可独立调节.
结论:
- 这种新型的第四阶MCS具有丰富的动态特性.
- 该TS模糊的方法提供了一个有效的方式来建模和控制memristive非线性.
- 开发的间歇控制器提供了一种可靠的方法,用于在混乱系统中实现预先分配的时间稳定.
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