具有执行器故障和外界干扰的连续线性时不变系统PD型迭代学习容错鲁棒控制  

PD-type iterative learning fault-tolerant robust control for continuous linear time-invariant systems with actuator faults and external disturbances

作　　者：孙凯 杨轩 SUN Kai;YANG Xuan(School of Science,Xi'an Polytechnic University,Xi'an 710048,China)

机构地区：[1]西安工程大学理学院,西安710048

出　　处：《黑龙江大学自然科学学报》2025年第1期13-19,共7页Journal of Natural Science of Heilongjiang University

基　　金：陕西省重点研发计划项目(2020GY-072);西安工程大学博士启动金项目(BS1617)。

摘　　要：针对一类具有执行器故障和外界干扰的连续线性时不变系统,提出了一类比例-微分(Proportional-differential,PD)型迭代学习容错控制策略。当被控系统可重置,故障信号满足一定的乘性条件,外界干扰有界时,在λ范数意义下分析了控制策略收敛性,并导出了一个算法收敛的充分条件,借助矩阵不等式得出系统的收敛性判据。最后,通过数值仿真验证了方法的有效性。A proportional-differential(PD)type iterative learning fault-tolerant control strategy is proposed for a class of continuous linear time-invariant systems with actuator faults and external disturbances.When the controlled system can be reset,the fault signal meets certain multiplicative conditions,and the external interference is bounded,the convergence of the control strategy is analyzed in the sense ofλ-norm,and a sufficient condition for the convergence of the algorithm is worked out,the convergence criterion of the system is obtained by means of matrix inequality.At last,the validity of the proposed method is proved by numerical simulation.

关 键 词：线性时不变系统 迭代学习 执行器故障 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]