不确定性T-S模糊时滞系统的容错控制研究  

Fault-Tolerant Control for Uncertain T-S Fuzzy Time-Delay Systems

作　　者：吴丽珍 金朝永[1] 张妙清 

机构地区：[1]广东工业大学应用数学学院,广东 广州

出　　处：《应用数学进展》2020年第1期109-119,共11页Advances in Applied Mathematics

摘　　要：针对一类非线性连续系统,本文研究了其带有不确定时滞项的容错控制问题。首先通过构造T-S模糊模型使其更精确的逼近原系统,并通过构建Lyapunov函数的方法,证明所设计的模糊控制器能使闭环系统在执行器存在故障的情况下仍具有很好的鲁棒性。再利用线性矩阵不等式工具箱求解出增益矩阵的值并得出在可行条件下闭环系统是稳定的。最后通过数值仿真验证了该方法的有效性。This paper is concerned with fault-tolerant control for a class of nonlinear continuous systems with uncertainties and delay terms. Firstly, the T-S fuzzy model is constructed to approximate the original system more accurately, and the Lyapunov function is constructed, the robustness of the closed-loop system with actuator faults is guaranteed by the designed fuzzy controller. The value of gain matrix and the feasible conditions for the closed-loop system are proposed by solving linear matrix inequalities. Finally, the effectiveness of the method is verified by numerical simulation.

关 键 词：容错控制 T-S模糊模型 不确定性 时滞 线性矩阵不等式 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]