TY - JOUR
T1 - Finite-Time H∞Asynchronous Control for Nonlinear Markov Jump Distributed Parameter Systems via Quantized Fuzzy Output-Feedback Approach
AU - Song, Xiaona
AU - Wang, Mi
AU - Ahn, Choon Ki
AU - Song, Shuai
N1 - Funding Information:
Manuscript received May 7, 2019; revised July 8, 2019; accepted August 12, 2019. Date of publication September 6, 2019; date of current version August 18, 2020. This work was supported in part by the National Natural Science Foundation of China under Grant 61976081 and Grant U1604146, in part by the Foundation for the University Technological Innovative Talents of Henan Province under Grant 18HASTIT019, and in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This article was recommended by Associate Editor L. Zhang. (Corresponding author: Choon Ki Ahn.) X. Song and M. Wang are with the School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China (e-mail: xiaona_97@163.com; wangmi_17@163.com).
Publisher Copyright:
© 2013 IEEE.
PY - 2020/9
Y1 - 2020/9
N2 - This article focuses on the asynchronous output-feedback control design for a class of nonlinear Markov jump distributed parameter systems based on a hidden Markov model. Initially, the considered systems are represented by a Takagi-Sugeno fuzzy model via a sector nonlinearity approach. Furthermore, asynchronous quantizers are introduced to save the limited communication resource in engineering applications. Then, based on the Lyapunov direct method and some inequality techniques, a series of novel stability criteria, which guarantee the finite-time boundedness and H∞disturbance attenuation performance of the target plants, is established in the form of spatial differential linear matrix inequalities. Finally, a simulation study is provided to verify the viability of the developed approach.
AB - This article focuses on the asynchronous output-feedback control design for a class of nonlinear Markov jump distributed parameter systems based on a hidden Markov model. Initially, the considered systems are represented by a Takagi-Sugeno fuzzy model via a sector nonlinearity approach. Furthermore, asynchronous quantizers are introduced to save the limited communication resource in engineering applications. Then, based on the Lyapunov direct method and some inequality techniques, a series of novel stability criteria, which guarantee the finite-time boundedness and H∞disturbance attenuation performance of the target plants, is established in the form of spatial differential linear matrix inequalities. Finally, a simulation study is provided to verify the viability of the developed approach.
KW - Asynchronous output-feedback control
KW - Markov jump
KW - Takagi-Sugeno fuzzy model
KW - distributed parameter systems (DPSs)
KW - hidden Markov model (HMM)
UR - http://www.scopus.com/inward/record.url?scp=85079515392&partnerID=8YFLogxK
U2 - 10.1109/TCYB.2019.2936827
DO - 10.1109/TCYB.2019.2936827
M3 - Article
C2 - 31502999
AN - SCOPUS:85079515392
SN - 2168-2267
VL - 50
SP - 4098
EP - 4109
JO - IEEE Transactions on Cybernetics
JF - IEEE Transactions on Cybernetics
IS - 9
M1 - 8826312
ER -