平均平方指数 l2-l∞ 控制交换-马科夫式跳跃系统的控制与边缘依赖的过渡概率
IEEE transactions on cybernetics
|July 15, 2025
概括
本研究引入了交换式马科夫跳跃系统 (SMJS) 的新控制方法,以确保稳定性和性能. 新的过渡概率和停留时间策略保证了平均平方指数稳定性.
科学领域:
- 控制系统工程 控制系统工程
- 随机系统分析 随机系统分析
- 应用数学 应用数学 应用数学
背景情况:
- 交换-马科夫跳跃系统 (SMJSs) 结合了决定性和随机动态.
- 现有的控制方法在SMJS中难以处理复杂的切换行为.
- 在混合开关下确保稳定性和性能是一个关键的挑战.
研究的目的:
- 为了研究SMJS的平均平方指数l2-l∞控制.
- 开发用于处理决定性和随机切换的新方法.
- 用先进的控制技术来保证系统的稳定性和性能.
主要方法:
- 引入模式依赖转换概率 (MDTP) 和边缘依赖转换概率 (EDTP).
- 模式依赖平均停留时间 (MDADT) 适用于确定性切换.
- 使用多重不连续的利亚普诺夫函数技术.
- 导出可解决的足够条件用于控制器设计.
主要成果:
- 拟议的MDADT方法,MDTP和EDTP保证了SMJS的平均平方指数稳定性与l2-l∞性能.
- 成功获得了用于控制器合成的可解决的充分条件.
- 开发方法的有效性通过数值和实践示例来验证.
结论:
- 该研究成功地解决了SMJS的平均平方指数l2-l∞控制问题.
- 拟议的控制策略有效地管理混合切换动态.
- 这些发现为控制复杂的SMJS在现实应用中提供了强大的框架.
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