通过动态输出反方法对具有多源干扰的内部类型-2模糊马尔科夫跳跃系统进行有限时间控制
Yuxin Guo1, Xu Ma1, Yuechao Ma1
1School of Science, Yanshan University, Qinhuangdao Hebei, 066004, PR China.
ISA transactions
|May 18, 2025
概括
本研究介绍了对具有时间变化的延迟和多源干扰的非线性系统的输出依赖的反干扰控制. 它使用自适应观察者和模糊的马尔科夫跳跃系统确保了有限时间的局限性,并通过示例验证.
科学领域:
- 控制系统工程 控制系统工程
- 非线性动力学是一种非线性动力学.
- 随机系统 随机系统 随机系统
背景情况:
- 具有时间变化的延迟的非线性系统容易受到多源干扰,使控制设计复杂化.
- 系统和控制器模式之间的异步信息在实现可靠控制方面构成了重大挑战.
- 对于需要快速状态趋同的实际应用来说,有限时间的局限性至关重要.
研究的目的:
- 为具有时间变化的延迟的非线性系统开发出输出依赖的反干扰控制策略.
- 使用隐藏马尔科夫模型 (HMM) 来处理异步模式信息.
- 为了保证内部2型模糊马尔科夫跳跃系统 (IT2 FMJS) 的H无限度平均平方有限时间边界性 (H无限度MFTB).
主要方法:
- 动态输出反控制器和自适应式反干扰观察器的设计.
- 隐藏马尔科夫模型 (HMM) 的利用用于异步模式识别.
- 应用Finsler定理来推导线性矩阵不等式 (LMIs) 对于H-无限的MFTB条件.
主要成果:
- 拟议的控制器和观察器确保系统状态在有限的时间内汇聚到指定的边界.
- 为IT2 FMJS的H无限度MFTB建立了足够的条件.
- 衍生出的LMI为控制器合成提供了一种可处理的方法.
结论:
- 开发的输出依赖的反干扰控制策略对于具有时间变化的延迟和干扰的非线性系统是有效的.
- 使用HMM和IT2 FMJS为处理系统不确定性和异步信息提供了一个强大的框架.
- 拟议方法的可行性和有效性通过模拟示例来验证.
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