基于轨迹跟踪的线性时滞系统容错控制  

Fault Tolerant Control for Linear Time-delay System Based on Trajectory Tracking

作　　者：赵石磊[1] 郭红[1] 刘宇鹏[1] 

机构地区：[1]哈尔滨理工大学软件学院,黑龙江哈尔滨150036

出　　处：《信息与控制》2015年第4期469-473,共5页Information and Control

基　　金：国家自然科学基金资助项目(61300115)

摘　　要：针对线性常时滞系统可能发生的执行器故障,提出了一种基于轨迹跟踪的主动容错控制方法.设计目标是通过设计容错控制率及故障观测器使故障系统状态在故障时也能够有效地跟踪参考模型状态.容错控制率的设计是为了补偿可能发生的执行器故障,比例—积分观测器则用于获取设计中需要的故障信息.在设计中,将状态估计误差、状态跟踪误差、故障估计误差及输出估计误差的动态方程组成广义系统,并通过Lypapunov-Krasovskii定理将该广义系统稳定性问题转化为线性矩阵不等式(LMI)的求解问题,进而方便地求解满足稳定性条件的观测器及控制率的增益矩阵.最后,在仿真中针对同一实例通过与经典方法的比较,证明了所提方法的有效性.With regard to the presence of actuator faults in linear constant delay systems, we propose an active fault- tolerant control scheme based on trajectory-tracking. The aim is to design a fault-tolerant control law and a fault observer to ensure the tracking of the states of faulty systems to reference models even if faults occur. The fault-tolerant control law is designed to compensate for the actuator faults ; The proportional integral observer is introduced to acquire information related to the fault. The dynamics of the state, as well as the tracking, fault estimation, and output estimation errors, comprise the descriptor system. In addition, using the Lypapunov- Krasovskii theorem, the stability problem of the descriptor system can be solved easily in terms of the linear matrix inequality （LMI） to obtain the observer gain matrix and control law. Finally, a numerical example is considered to compare the tracking performance of the proposed fault-tolerant control approach with the classic approach and to illustrate the effectiveness of the proposed scheme.

关 键 词：广义系统 常时滞 容错控制 轨迹跟踪 

分 类 号：TP207[自动化与计算机技术—检测技术与自动化装置]