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滑动模式控制马尔科夫跳跃单一扰乱系统在零碎同质随机通信协议下
IEEE transactions on cybernetics
|March 7, 2024
概括
这项研究介绍了一种新的适应滑动模式控制 (SMC) 对于具有通信约束的马尔科夫跳跃奇异扰动系统 (MJSPSs). 它使用三层非静止马尔科夫模型确保了系统稳定性和在干扰条件下的性能.
科学领域:
- 控制理论 控制理论
- 系统工程 系统工程
- 随机系统 随机系统 随机系统
背景情况:
- 马尔科夫跳跃奇异扰动系统 (MJSPSs) 由于模式依赖的动态和外部干扰,存在控制挑战.
- 通信限制和无与伦比的外部干扰进一步复杂化了这些系统的控制器设计.
- 现有的控制策略往往难以解决系统模式,控制器模式和通信协议之间的相互作用.
研究的目的:
- 开发适应式滑动模式控制 (SMC) 策略,用于MJSPS受到无与伦比的外部干扰和通信限制.
- 提出一种新的三层非静止马尔科夫模型 (NMM),集成系统,控制器和随机通信协议 (SCP) 模式.
- 根据拟议的控制框架,确保滑动表面 (SS) 的可访问性和闭环系统 (CLS) 的稳定性.
主要方法:
- 引入基于系统和控制器模式的随机通信协议 (SCP) 调度的零件均马尔科夫链 (MC),依赖于系统和控制器模式.
- 制定一个三层非静止马尔科夫模型 (NMM),以捕捉系统,控制器和SCP的动态.
- 使用标准的单一滑动模式表面和模式依赖的利亚普诺夫函数,设计一个非静止的SMC规律.
- 应用矩阵脱技术来导出特定的控制增益表达式.
主要成果:
- 拟议的适应性SMC法律保证了滑动表面 (SS) 的可访问性和闭环系统 (CLS) 的稳定性.
- 足够的稳定性标准是通过模式依赖的利亚普诺夫函数和零件均的马尔科夫模型方法得出的.
- 控制增益表达式是通过矩阵解来显式获得的,这促进了实际实施.
结论:
- 开发的控制策略有效地解决了MJSPS与通信限制和外部干扰的复杂性.
- 新的三层NMM为分析这些系统提供了一个全面的框架.
- 数字模拟验证了拟议的适应性SMC方法的有效性和正确性.
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