一类不确定切换模糊系统的记忆保成本控制  

Memory Guaranteed Cost Control for a Class of Uncertain Switched Fuzzy Systems

作　　者：张乐[1] 王悦 杨红[1] ZHANG Le;WANG Yue;YANG Hong(School of Information Engineering,Shenyang University,Shenyang 110044,China)

机构地区：[1]沈阳大学信息工程学院,辽宁沈阳110044

出　　处：《控制工程》2024年第5期842-849,共8页Control Engineering of China

基　　金：辽宁省高等学校创新人才支持计划项目(L2018062);兴辽英才计划青年拔尖人才项目(XLYC1807138)。

摘　　要：针对一类具有状态时滞和不确定性的切换模糊系统,提出了该类系统的记忆保成本控制问题。利用引入系统过去的状态信息,构造有记忆状态反馈控制器,以消除系统时滞对于系统稳定性产生的不良影响。在保证成本函数指标小于某个上界及允许的不确定性条件下,结合多Lyapunov函数方法和线性矩阵不等式(linear matrix inequality,LMI)处理方法得到最终的充分条件,保证闭环系统能够渐近稳定;且得到满足设计的切换律的记忆状态反馈控制器增益。最后通过Simulink仿真验证了所提方法的正确性。For a class of switched fuzzy systems with state delay and uncertainty,the problem of memory guaranteed cost control for such systems is proposed.Using the past state information introduced into the system,a memory state feedback controller is constructed to eliminate the adverse effects of delay for system stability.Under the condition that the cost function index is less than a certain upper bound and the allowable uncertainty,combining the multiple Lyapunov function method and the linear matrix inequality(LMI)processing method to obtain the final sufficient conditions to ensure that the closed-loop system can be asymptotically stable.And the memory state feedback controller gains that meet the designed switching law is obtained.Finally,the correctness of the proposed method is verified by Simulink simulation.

关 键 词：切换模糊系统 不确定系统 记忆状态反馈 切换律 保成本控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]