不确定时滞奇异摄动系统的最优故障估计  

Optimal Fault Estimation for Uncertain Singularly Perturbed Systems with Time-delay

作　　者：刘蕾 路少颖 韩存武[1] 孙德辉[1] LIU Lei;LU Shaoying;HAN Cunwu;SUN Dehui(Key Laboratory of Fieldbus and Automation,North China Univ.of Tech.,100144,Beijing,China)

机构地区：[1]北方工业大学现场总线及自动化重点实验室

出　　处：《北方工业大学学报》2019年第5期69-76,共8页Journal of North China University of Technology

基　　金：北京市自然科学基金青年科学基金项目“受扰奇异摄动系统的最优识别问题研究”(4154068);北京市青年拔尖人才计划;北方工业大学毓优青年培养计划

摘　　要：本文研究了一类具有时滞和范数有界参数不确定的奇异摄动系统的最优故障估计问题.针对具有未知传感器故障和外部干扰的复杂系统,设计残差观测器估计故障量.首先将系统的鲁棒故障估计问题转换为1个标准H肄控制问题,采用更小保守性的着依赖的Lya-punov函数给出了残差观测器存在的充分条件,使得系统对不确定输入具有较强的鲁棒性.在此基础上,提出了一种联合优化摄动上界着*和H肄性能指标酌的多目标优化方案,使得系统能保证最大的稳定上界,同时对外部未知干扰具有良好的抑制能力.最后用1个数值算例验证了该方法的可行性与正确性.In this paper,the problem of optimal fault estimation for the class of singularly perturbed systems subjected to time delay and parameter uncertainties is studied.A residual observer is designed to estimate the sensor fault state vector for the above complex systems involving unknown sensor fault and external disturbances.The problem of the system robust fault estimation is firstly transformed into a problem of standard H∞ control.By adopting less conservative Lyapunov function with epsilon-dependence,a sufficient condition is derived to guaranteed robust to uncertain inputs.A multi-objective optimization scheme for joint optimization of maximal perturbation upper bound ε^* and H∞ performance indexγis then presented.In this case,the system can ensure the maximum stable upper bound in the meanwhile the uncertain interference has a better attenuation ability.Finally,a simulation example is used to verify the feasibility and correctness of the scheme.

关 键 词：奇异摄动系统 传感器故障 残差观测器 H肄控制 多目标优化 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]