一阶双曲型偏微分方程的模糊边界控制
发布时间：2018-11-28 19:48
【摘要】：对于一类半线性的双曲型偏微分方程的模糊边界控制问题,通过模糊控制方法,将半线性的偏微分方程系统精确表示为T-S模糊偏微分方程模型.因为控制器仅仅分布于边界上,所以基于T-S模糊偏微分方程模型而设计的模糊边界控制器将更容易执行,并且能够保证闭环系统指数稳定.然后利用Lyapunov方法将给出的闭环系统指数稳定的充分条件转化为求解线性不等式的问题.最后,通过仿真实例说明了模糊边界控制的有效性.
[Abstract]:For the fuzzy boundary control problem of a class of semi-linear hyperbolic partial differential equations, the semi-linear partial differential equation system is accurately represented as T-S fuzzy partial differential equation model by fuzzy control method. Because the controller is only distributed on the boundary, the fuzzy boundary controller based on T-S fuzzy partial differential equation model will be easier to execute and ensure the exponential stability of the closed-loop system. Then the sufficient condition of exponential stability of closed-loop system is transformed into a problem of solving linear inequality by using Lyapunov method. Finally, the effectiveness of fuzzy boundary control is illustrated by a simulation example.
【作者单位】： 西安电子科技大学数学与统计学院;
【基金】：国家自然科学基金(61573013)~~
【分类号】：O175.27
，
本文编号：2364084
[Abstract]:For the fuzzy boundary control problem of a class of semi-linear hyperbolic partial differential equations, the semi-linear partial differential equation system is accurately represented as T-S fuzzy partial differential equation model by fuzzy control method. Because the controller is only distributed on the boundary, the fuzzy boundary controller based on T-S fuzzy partial differential equation model will be easier to execute and ensure the exponential stability of the closed-loop system. Then the sufficient condition of exponential stability of closed-loop system is transformed into a problem of solving linear inequality by using Lyapunov method. Finally, the effectiveness of fuzzy boundary control is illustrated by a simulation example.
【作者单位】： 西安电子科技大学数学与统计学院;
【基金】：国家自然科学基金(61573013)~~
【分类号】：O175.27
，
本文编号：2364084
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