对于延迟离散时间系统的马尔科夫交换拓基于可靠控制设计:圆形的吸引方法
IEEE transactions on cybernetics
|April 2, 2025
概括
这项研究综合了离散时间马尔科夫跳跃系统 (DTMJS) 的可达集,这些系统具有延迟和故障. 它引入了一种新的部分异步可靠控制 (PARC) 方案,以提高系统稳定性和状态控制.
科学领域:
- 控制系统工程 控制系统工程
- 随机系统理论 随机系统理论
- 非线性控制是指非线性控制.
背景情况:
- 离散时间马尔科夫跳跃系统 (DTMJS) 对于模拟突然变化的系统至关重要.
- 现有的控制方法经常与模式依赖的延迟,不确定的过渡概率和执行器故障作斗争.
- 越来越需要现实的控制策略来解释复杂系统中的异步.
研究的目的:
- 为DTMJS开发一种可达到的集合成方法,具有取决于模式的时间变化的延迟,不确定的过渡概率和执行器故障.
- 为马尔科夫切换拓设计了一个针对马尔科夫切换拓的新型部分异步可靠控制 (PARC) 方案.
- 为了确保在圆形区域内的随机稳定性和有限状态轨迹.
主要方法:
- 使用圆形吸引方法来实现可达到的集合成.
- 使用伯努利变量设计合状态反和模式依赖的延迟状态反控制器.
- 制定一个隐藏的马尔科夫模型来捕捉系统异步.
- 构建一个双模式依赖的随机 Lyapunov-Krasovskii 函数.
主要成果:
- 通过使用线性矩阵不等式 (LMIs) 来导出足够条件的随机稳定性和圆形边界性.
- 根据马尔科夫切换,证明拟议的PARC计划的有效性.
- 通过数值模拟验证控制策略,证实其优点.
结论:
- 拟议的方法有效地合成了复杂的DTMJS.可达到的集合.
- 新的PARC方案增强了控制的现实性和系统的稳定性,防止不确定性和故障.
- 这些发现有助于对具有马科维亚动态和时间延迟的系统进行先进的控制.
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