TY - JOUR
T1 - Quantized fuzzy finite-Time control for nonlinear semi-markov switching systems
AU - Qi, Wenhai
AU - Gao, Meng
AU - Ahn, Choon Ki
AU - Cao, Jinde
AU - Cheng, Jun
AU - Zhang, Lihua
N1 - Publisher Copyright:
© 2004-2012 IEEE.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/11
Y1 - 2020/11
N2 - This brief considers quantized control for finite-Time synthesis of nonlinear semi-Markov switching systems (S-MSSs) via T-S fuzzy strategy. The stochastic phenomena of structural and parametric changes are modeled by the semi-Markov process, in which the sojourn-Time (ST) is deemed to obey a non-exponential distribution. Compared with previous works, the input quantization is firstly investigated for studying the finite-Time control via a logarithmic quantizer. A key issue under the consideration is how to design a fuzzy-model-based finite-Time control law in the presence of quantized error. For this purpose, by using the key point of Lyapunov function, the finite-Time boundedness (FTBs) performance is analyzed via establishing sojourn-Time-dependent sufficient conditions within a given finite-Time level. Then, the existence of a quantized controller is given in standard LMIs. Finally, an example for an electric circuit shows the effectiveness of the finite-Time control scheme.
AB - This brief considers quantized control for finite-Time synthesis of nonlinear semi-Markov switching systems (S-MSSs) via T-S fuzzy strategy. The stochastic phenomena of structural and parametric changes are modeled by the semi-Markov process, in which the sojourn-Time (ST) is deemed to obey a non-exponential distribution. Compared with previous works, the input quantization is firstly investigated for studying the finite-Time control via a logarithmic quantizer. A key issue under the consideration is how to design a fuzzy-model-based finite-Time control law in the presence of quantized error. For this purpose, by using the key point of Lyapunov function, the finite-Time boundedness (FTBs) performance is analyzed via establishing sojourn-Time-dependent sufficient conditions within a given finite-Time level. Then, the existence of a quantized controller is given in standard LMIs. Finally, an example for an electric circuit shows the effectiveness of the finite-Time control scheme.
KW - Finite-Time boundedness
KW - Lyapunov function
KW - sojourn-Time
UR - http://www.scopus.com/inward/record.url?scp=85077244458&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85077244458&partnerID=8YFLogxK
U2 - 10.1109/TCSII.2019.2962250
DO - 10.1109/TCSII.2019.2962250
M3 - Article
AN - SCOPUS:85077244458
VL - 67
SP - 2622
EP - 2626
JO - IEEE Transactions on Circuits and Systems I: Regular Papers
JF - IEEE Transactions on Circuits and Systems I: Regular Papers
SN - 1549-8328
IS - 11
M1 - 8943166
ER -