TY - JOUR
T1 - Finite-Time Fault Estimation and Tolerant Control for Nonlinear Interconnected Distributed Parameter Systems with Markovian Switching Channels
AU - Song, Xiaona
AU - Man, Jingtao
AU - Song, Shuai
AU - Ahn, Choon Ki
N1 - Funding Information:
The work of Xiaona Song was supported in part by the National Natural Science Foundation of China under Grant 61976081, in part by the Natural Science Fund for Excellent Young Scholars of Henan Province under Grant 202300410127, and in part by the Key Scientific Research Projects of Higher Education Institutions in Henan Province under Grant 22A413001. The work of Choon Ki Ahn was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea Government (Ministry of Science, and ICT) under Grant NRF-2020R1A2C1005449.
Publisher Copyright:
© 2004-2012 IEEE.
PY - 2022/3/1
Y1 - 2022/3/1
N2 - This work investigates the problems of decentralized fault estimation within a finite-time interval (FTI) and fault-tolerant control for nonlinear interconnected distributed parameter systems under the situation of unpredictable faults. First, the fault estimator using interconnected information is designed to estimate the occurred faults over an FTI. Second, the designed fault-tolerant controller has a non-fragile characteristic and can make the considered system satisfy the prescribed performance index. Additionally, this article considers a real scenario where multiple switching channels exist in the network and supposes that the channel switching follows a Markovian switching law with discrete state. Furthermore, by establishing a global Lyapunov functional based on graph theory and employing the canonical Bessel-Legendre inequality method, the final results that are less conservative can be obtained reasonably. Finally, the feasibility, practicability and superiority of the main results are illustrated through three simulations.
AB - This work investigates the problems of decentralized fault estimation within a finite-time interval (FTI) and fault-tolerant control for nonlinear interconnected distributed parameter systems under the situation of unpredictable faults. First, the fault estimator using interconnected information is designed to estimate the occurred faults over an FTI. Second, the designed fault-tolerant controller has a non-fragile characteristic and can make the considered system satisfy the prescribed performance index. Additionally, this article considers a real scenario where multiple switching channels exist in the network and supposes that the channel switching follows a Markovian switching law with discrete state. Furthermore, by establishing a global Lyapunov functional based on graph theory and employing the canonical Bessel-Legendre inequality method, the final results that are less conservative can be obtained reasonably. Finally, the feasibility, practicability and superiority of the main results are illustrated through three simulations.
KW - Fault estimation and tolerant control
KW - Finite-time interval
KW - Global Lyapunov functional
KW - Markovian switching channels
KW - Nonlinear interconnected distributed parameter systems
UR - http://www.scopus.com/inward/record.url?scp=85120872731&partnerID=8YFLogxK
U2 - 10.1109/TCSI.2021.3129372
DO - 10.1109/TCSI.2021.3129372
M3 - Article
AN - SCOPUS:85120872731
VL - 69
SP - 1347
EP - 1359
JO - IEEE Transactions on Circuits and Systems I: Regular Papers
JF - IEEE Transactions on Circuits and Systems I: Regular Papers
SN - 1549-8328
IS - 3
ER -