非线性合延迟PDE-ODE系统的模糊间歇控制
IEEE transactions on cybernetics
|August 28, 2025
概括
本研究提出了复杂的非线性系统的模糊间歇控制方法,使用Takagi-Sugeno模型和Lyapunov函数确保稳定性. 这种方法已被验证用于控制高超音速火箭车.
科学领域:
- 控制理论
- 非线性系统
- 模糊的逻辑
背景情况:
- 非线性合延迟微分方程-普通微分方程 (PDE-ODE) 系统存在重大控制挑战.
- 空间平均测量 (SAM) 为系统监测提供了一种实用方法.
研究的目的:
- 为非线性合延迟PDE-ODE系统开发模糊间歇性控制方法.
- 确保这些复杂系统的指数稳定性.
主要方法:
- 使用Takagi-Sugeno (T-S) 模糊的PDE-ODE模型建模系统.
- 基于交换式莱普诺夫函数 (LF) 的模糊间歇控制器的设计.
- 使用空间依赖的线性矩阵不等式 (SDLMIs) 来确定稳定性条件.
主要成果:
- 获得了足够的指数稳定的条件.
- 拟议的模糊间歇性控制方法证明了它的有效性.
- 控制策略成功应用于高超音速火箭车 (HRC) 模型.
结论:
- 模糊间歇性控制方法为稳定非线性合延迟PDE-ODE系统提供了强大的解决方案.
- 使用TS模糊模型和莱普诺夫函数对此类系统有效.
- 这种方法是实用的,并通过复杂应用的模拟来验证.
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