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Observer‐based actuator fault estimation and proportional derivative fault tolerant control for continuous‐time singular systems
Author(s) -
Mu Yunfei,
Zhang Huaguang,
Su Hanguang,
Zhang Kun
Publication year - 2019
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2529
Subject(s) - control theory (sociology) , observer (physics) , actuator , weighting , linear matrix inequality , fault (geology) , fault tolerance , computer science , invertible matrix , mathematics , mathematical optimization , control (management) , medicine , distributed computing , physics , quantum mechanics , artificial intelligence , seismology , radiology , geology , pure mathematics
Summary This paper focuses on designing fault estimation (FE) and fault tolerant control (FTC) schemes for continuous‐time singular systems affected by actuator fault. A novel observer called the extended proportional integral observer (PIO) is designed so that the estimations of system state and actuator fault can be obtained simultaneously. In contrast with the traditional PIO, better estimation performance can be obtained by using the designed observer. Furthermore, with the obtained FE information, a novel proportional derivative–type FTC scheme is given by means of the separation property and the free‐weighting matrix technique, which ensures that the closed‐loop system is normal and stable. All the feasible conditions are formulated in linear matrix inequality (LMI) frameworks. Finally, two examples are simulated to prove the superiority and practicability of the presented scheme.