Sliding Mode Robust Fault-Tolerant Control for Uncertain Systems with Time Delay

Abstract

Abstract:Considering the modeling uncertainties and external disturbance, a kind of sliding mode robust H∞ fault-tolerant control method for time delay system with actuator fault is proposed. The upper-bound of the uncertainties is considered as a known constant, while the upper-bound of the actuator fault is unknown. A sufficient condition for the existence of an integral sliding mode dynamics is given in terms of linear matrix inequality (LMI). A novel adaptive law is given to estimate the unknown upper-bound of faults. On this basis, a type of sliding mode robust H∞ fault-tolerant control law is designed to guarantee the asymptotic stability and the H∞ performance index of the system. Finally, the simulation on quad-rotor semi-physical platform demonstrates the reliability and validity of the method.

Key words:fault-tolerant control| sliding mode control| time delay| robust H∞

摘要：Considering the modeling uncertainties and external disturbance, a kind of sliding mode robust H∞ fault-tolerant control method for time delay system with actuator fault is proposed. The upper-bound of the uncertainties is considered as a known constant, while the upper-bound of the actuator fault is unknown. A sufficient condition for the existence of an integral sliding mode dynamics is given in terms of linear matrix inequality (LMI). A novel adaptive law is given to estimate the unknown upper-bound of faults. On this basis, a type of sliding mode robust H∞ fault-tolerant control law is designed to guarantee the asymptotic stability and the H∞ performance index of the system. Finally, the simulation on quad-rotor semi-physical platform demonstrates the reliability and validity of the method.

关键词:fault-tolerant control| sliding mode control| time delay| robust H∞

CLC Number:

TP 273

YANG Pu* (杨蒲), NI Jiangfan (倪江帆), PAN Xu (潘旭), GUO Ruicheng (郭瑞诚). Sliding Mode Robust Fault-Tolerant Control for Uncertain Systems with Time Delay[J]. Journal of shanghai Jiaotong University (Science), 2017, 22(2): 240-246.

References20

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