多时滞线性连续系统的最优H_∞容错控制  

The Optimal H_∞ Fault-tolerant Control of Linear Continuous Systems with Multi-time-delay in the State

作　　者：龚新平[1] 罗跃生[2] 

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4期626-629,643,共5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)

摘　　要：针对状态具有多个时滞的线性连续系统,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,研究了在执行器发生故障的情况下,连续多时滞系统的最优H_∞容错控制问题。首先,给出了系统没有干扰输入时存在无记忆状态反馈容错控制器的一个充分条件;进一步,给出了在H_∞扰动衰减指标约束下,系统存在无记忆状态反馈H_∞容错控制器的一个充分条件;最后,给出了最优无时滞记忆状态反馈H_∞容错控制器的设计方法。仿真实例证明了所得最优H_∞容错控制器设计方法的正确性和有效性。For linear continuous systems with multi-time-delay in the state, based on Lyapunov stability theory and linear matrix inequality method, the optimal Ha fault-tolerant control problem with faulty actuators was researched by introducing immemorial state feedback eontrol law. Firstly, We give a sufficient condition that ensures systems have immemorial state feedback fault-tolerant controllers, when systems don＇t have the interference inputs. Furthernore, under the constrain of the H∞ disturbance attenuation index, we give a sufficient condition that ensures systems have immemorial state feedback H∞ fauh-tolerant controllers; Finally, we give the optimal H∞ fault-tolerant controllers＇designing method under immemorial state feedback. In the end, a numerical example is presented to illustrate the correctness and effectiveness of the proposed approach.

关 键 词：连续系统 多时滞 线性矩阵不等式 H∞性能 最优控制 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]