@inbook{fdafd1c2af0e49259ec9462c555ccbc3,
title = "Observer-based fault-tolerant control for non-infinitely observable descriptor systems",
abstract = "This chapter considers a scheme to perform fault-tolerant control (FTC) in a class of non-infinitely observable descriptor systems (NIODS) that are affected by disturbances. The proposed scheme consists of a sliding mode observer (SMO) to estimate the states and unknown inputs, and a controller to perform FTC. The system is re-expressed as an infinitely observable reduced-order system by treating some states as unknown inputs. A SMO is implemented onto the reduced-order system to estimate the states and unknown inputs of the original system. These estimates are then passed into a controller that counteracts the effects of the unknown inputs. Linear matrix inequality techniques are used to design the SMO and controller such that the estimates from the SMO and the output of the system converge asymptotically. The necessary and sufficient conditions for the existence of the scheme are investigated and expressed in terms of the original system matrices. Finally, the scheme is implemented on a simulation of a practical system, and the results demonstrate its effectiveness.",
keywords = "Descriptor systems, Fault reconstruction, Fault-tolerant control, Infinite observability, Sliding mode observers, Uncertain systems",
author = "Chan, {Joseph Chang Lun} and Lee, {Tae H.} and Tan, {Chee Pin}",
note = "Funding Information: Acknowledgements This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT) (No. 2020R1C1C1012707). The authors would like to thank Prof. H. Trinh for his invaluable input on the development of the observer utilized in this scheme. Publisher Copyright: {\textcopyright} 2021, The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",
year = "2021",
doi = "10.1007/978-3-030-49123-9_6",
language = "English",
isbn = "9783030491222",
series = "Studies in Systems, Decision and Control",
publisher = "Springer",
pages = "123--145",
editor = "{H. Park}, Ju",
booktitle = "Recent Advances in Control Problems of Dynamical Systems and Networks",
}