摘要
Fault and delay accommodating simultaneously for a class of linear systems subject to state delays, actuator faults and disturbances is investigated in this work. A matrix norm minimization technique is applied to minimize the norms of coefficient matrix on time delay terms of the system in consideration. Compared with the matrix inequality scaling technique, the minimization technique can relax substantially the obtained stability conditions for state delay systems, especially, when the coefficient matrices of time delay terms have a large order of magnitudes.An output feedback adaptive fault-delay tolerant controller(AFDTC) is designed subsequently to stabilize the plant with state delays and actuator faults. Compared with the conventional fault tolerant controller(FTC), the designed output feedback AFDTC can be updated on-line to compensate the effect of both faults and delays on systems. Simulation results under two numerical examples exhibit the effectiveness and merits of the proposed method.
基金
supported in part by the National Natural Science Foundation of China(61773013)
the Natural Science Foundation of Liaoning Province,China(20170520424)。
作者简介
Corresponding author:Shengjuan Huang received the B.S.degree in computational mathematics and applied software and the M.S.degree in operational research and cybernetics from University of Science and Technology Liaoning,in 2002 and 2006,respectively,and the Ph.D.degree in control theory and control engineering from Northeastern University,in 2017.He is currently a Professor with the School of Sciences,University of Science and Technology Liaoning.His research interests include fuzzy control theory and its application,fault-tolerant control,robust control,and fault estimation.e-mail:hshj1113@sina.com;Chunrong Li received the B.S.degree in mathematics and applied mathematics from Jining Normal University,Inner Mongolia,China,in 2016 and the M.S.degree in operational research and cybernetic from University of Science and Technology Liaoning,in 2019.Her research interests include fault-tolerant control and fault estimation.e-mail:250316433@qq.com。
