在执行器故障下,不确定非线性网络系统的可靠模糊控制
Zeinab Echreshavi1, Mohsen Farbood1, Mokhtar Shasadeghi1
1Department of Electrical and Electronics Engineering, Shiraz University of Technology, Shiraz, Iran.
ISA transactions
|July 27, 2023
概括
本研究介绍了一个强大的模糊静态输出反控制 (SOFC) 对于面临网络延迟,数据丢失和执行器故障的非线性系统. 该方法确保了系统的稳定性,尽管存在不确定性和部分未知的过渡概率.
科学领域:
- 控制系统工程 控制系统工程
- 非线性系统分析 非线性系统分析
- 模糊逻辑系统 模糊逻辑系统
背景情况:
- 网络控制系统 (NCS) 面临诸如诱导延迟,数据包损失和执行器故障等挑战.
- 塔卡吉-苏格诺模糊模型 (TSFM) 用于非线性系统,但在不确定性下需要强大的控制.
- 现有的控制方案可能无法同时解决多个由网络引起的不确定性和执行器故障.
研究的目的:
- 为基于TSFM的不确定非线性系统开发可靠的模糊静态输出反控制 (SOFC) 方案.
- 同时处理网络诱导的延迟,信息包损失和执行器故障.
- 在这些具有挑战性的条件下,确保闭环系统的随机稳定性.
主要方法:
- 开发了一种具有随机扰动的全面执行器故障模型.
- 马尔科夫链 (MC) 用于建模网络引起的延迟和数据丢失,从而产生马尔科夫跳跃系统 (MJS).
- 使用利亚普诺夫理论和线性矩阵不等式 (LMIs) 来推导随机稳定性条件,假设部分未知的过渡概率.
主要成果:
- 在新的离线LMI中,成功地提取了随机强稳定的必要条件.
- 拟议的控制方案有效地管理同时存在的不确定性,包括执行器故障和网络引起的问题.
- 在卡车拖车系统上的模拟验证了开发的控制方法的卓越性能.
结论:
- 拟议的模糊SOFC方案为NCS环境中的不确定非线性系统提供了可靠的解决方案.
- 该方法证明了对执行器故障,网络延迟和数据丢失的稳定性.
- 使用LMI和考虑部分未知的过渡概率提高了实际适用性.
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