TY - JOUR
T1 - On sliding mode observers for non-infinitely observable descriptor systems
AU - Zhang, Jiancheng
AU - Tan, Chee Pin
AU - Zheng, Gang
AU - Wang, Yan
N1 - Funding Information:
This work is supported in part by National Natural Science Foundation of China under Grants 61803181 , 62073081 and 61973138 , in part by the China Postdoctoral Science Foundation under Grant 2019M651695 , and in part by the Project of Department of Education of Guangdong Province, China under Grant 2019KZDXM037 . The material in this paper was not presented at any conference. This paper was recommended for publication in revised form by Associate Editor Davide Martino Raimondo under the direction of Editor Alessandro Chiuso.
Publisher Copyright:
© 2022 Elsevier Ltd
PY - 2023/1
Y1 - 2023/1
N2 - This paper presents a sliding mode observer (SMO) design method to estimate the states and unknown inputs (UIs) in a class of non-infinitely observable (NIO) descriptor systems that contain UIs in both the state and output equations. Existing works on SMO design for NIO systems did not consider UIs in the output equation. In order to overcome the difficulty caused by UIs in output channels and the NIO condition, we reformulated the original system and introduced new UIs to replace the original UIs to obtain an equivalent infinitely observable descriptor system whose output does not contain any UI. Based on the developed equivalent system, a new SMO method is proposed to estimate both the states and the UIs. Subsequently, the necessary and sufficient conditions for the existence of the SMO are derived in terms of the original system matrices, which thus makes the conditions easy to be examined. Finally, an example is used to verify the effectiveness of the proposed method.
AB - This paper presents a sliding mode observer (SMO) design method to estimate the states and unknown inputs (UIs) in a class of non-infinitely observable (NIO) descriptor systems that contain UIs in both the state and output equations. Existing works on SMO design for NIO systems did not consider UIs in the output equation. In order to overcome the difficulty caused by UIs in output channels and the NIO condition, we reformulated the original system and introduced new UIs to replace the original UIs to obtain an equivalent infinitely observable descriptor system whose output does not contain any UI. Based on the developed equivalent system, a new SMO method is proposed to estimate both the states and the UIs. Subsequently, the necessary and sufficient conditions for the existence of the SMO are derived in terms of the original system matrices, which thus makes the conditions easy to be examined. Finally, an example is used to verify the effectiveness of the proposed method.
KW - Existence conditions
KW - Linear descriptor system
KW - Non-infinitely observable
KW - Sliding mode observer
UR - http://www.scopus.com/inward/record.url?scp=85143782509&partnerID=8YFLogxK
U2 - 10.1016/j.automatica.2022.110676
DO - 10.1016/j.automatica.2022.110676
M3 - Article
AN - SCOPUS:85143782509
SN - 0005-1098
VL - 147
JO - Automatica
JF - Automatica
M1 - 110676
ER -