H∞ 对于具有多次延迟和执行器故障的非线性超标PDE系统的容错模糊间歇控制
Xu Zhang1, Xuan Gao2, Zi-Peng Wang3
1School of Automation, Central South University, Changsha 410083, China.
ISA transactions
|December 4, 2024
概括
本研究介绍了一种H∞耐故障的模糊间歇性控制方法,用于面临多次延迟和执行器故障 (MDAFs) 的非线性过波局部微分方程 (PDE) 系统. 这种方法确保了这些复杂系统的稳定性.
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.
- 部分微分方程 部分微分方程
背景情况:
- 非线性过波局部微分方程 (PDE) 系统在各种科学领域都至关重要.
- 这些系统经常遇到诸如多次延迟和执行器故障 (MDAF) 等挑战,使控制设计复杂化.
- 现有的控制策略可能无法充分解决这些系统中的延迟和故障的综合影响.
研究的目的:
- 为具有MDAFs的非线性过度PDE系统开发一个H∞容错的模糊间歇性控制策略.
- 确保针对的PDE系统具有强大的指数稳定性.
- 为复杂动态系统设计耐故障控制器提供系统方法.
主要方法:
- 使用Takagi-Sugeno (T-S) 模糊延迟的超标PDE模型,对具有MDAF的非线性超标PDE系统进行表征.
- 运用莱普诺夫直接方法与新型切换莱普诺夫函数 (LF) 的应用.
- 利用空间线性矩阵不等式 (SLMIs) 来证明强大的指数稳定性.
- 将H∞容错的模糊间歇性控制问题转化为LMI可行性问题.
主要成果:
- 对于具有MDAF的非线性过度波形PDE系统,证明了强大的指数稳定性.
- 成功地将控制设计问题转化为可解决的LMI可行性问题.
- 通过两个说明性例子验证拟议的控制策略.
结论:
- 提出的H∞容错的模糊间歇性控制方法有效地解决了具有MDAF的非线性过度波形PDE系统.
- 该方法保证了强大的指数稳定性,提高了系统可靠性.
- 该研究为设计复杂的PDE模型的耐故障控制系统提供了有价值的框架.
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