状态和控制含多时滞的离散系统H_∞容错控制  

The H_∞Fault-tolerant Control of Discrete Systems with Multi-time-delay in the State and Control Input

作　　者：罗跃生 龚新平 

机构地区：[1]哈尔滨工程大学自动化学院,黑龙江哈尔滨150001 [2]哈尔滨工程大学理学院,黑龙江哈尔滨150001

出　　处：《控制工程》2012年第5期905-912,共8页Control Engineering of China

基　　金：哈尔滨工程大学水下智能机器人技术国防科技重点实验室开放课题研究基金资助(002010260730);中央高校基本科研业务费专项资金资助(HEUCF20111142);哈尔滨工程大学研究生培养基金资助(00211001060912)

摘　　要：针对状态和控制输入同时具有多个时滞的线性离散时间系统,基于Lyapunov稳定性理论和线性矩阵不等式方法(LMI),采用无时滞记忆的状态反馈控制律,研究了执行器故障情况下,离散多时滞系统的H_∞容错控制问题。在采用连续执行器故障模型条件下,给出了系统没有干扰输入时存在无时滞记忆的状态反馈容错控制器的充分条件;进一步,给出了在H_∞扰动衰减指标约束下,系统存在无时滞记忆的状态反馈H_∞容错控制器的充分条件,并将结论推广到离散故障模型的情况。仿真结果证明了所提H_∞容错控制器设计方法的正确性和有效性。For linear discrete-time systems with multi-time-delay in the state and control input at the same time, based on Lyapunov stability theory and linear matrix inequality method, the H∞ fauh-tolerant control problem was researched by introducing immemorial state feedback control law, when actuators go wrong. By introducing continuous fault models of actuators, give a sufficient conditioh that ensures systems have immemorial state feedback fault-tolerant controllers, when systems don＇ t have the interference inputs. Further- more, under the constrain of the H∞ disturbance attenuation index, give the sufficient condition that ensures systems have immemorial state feedback H∞ fault-tolerant controllers, and popularize these conclusions to circumstances of discrete fault models. Finally, simula- tion results illustrate the correctness and effectiveness of the proposed approach.

关 键 词：离散时间系统 状态多时滞 控制输入多时滞 线性矩阵不等式 H∞性能 容错控制 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]