【摘要】：對(duì)于一類半線性的雙曲型偏微分方程的模糊邊界控制問(wèn)題,通過(guò)模糊控制方法,將半線性的偏微分方程系統(tǒng)精確表示為T(mén)-S模糊偏微分方程模型.因?yàn)榭刂破鲀H僅分布于邊界上,所以基于T-S模糊偏微分方程模型而設(shè)計(jì)的模糊邊界控制器將更容易執(zhí)行,并且能夠保證閉環(huán)系統(tǒng)指數(shù)穩(wěn)定.然后利用Lyapunov方法將給出的閉環(huán)系統(tǒng)指數(shù)穩(wěn)定的充分條件轉(zhuǎn)化為求解線性不等式的問(wèn)題.最后,通過(guò)仿真實(shí)例說(shuō)明了模糊邊界控制的有效性.
[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.
【作者單位】： 西安電子科技大學(xué)數(shù)學(xué)與統(tǒng)計(jì)學(xué)院;
【基金】：國(guó)家自然科學(xué)基金(61573013)~~
【分類號(hào)】：O175.27
，

本文編號(hào)：2364084