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
PY - 2019/1/1
Y1 - 2019/1/1
N2 - This article 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 article 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
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U2 - 10.1109/TCSII.2019.2962250
DO - 10.1109/TCSII.2019.2962250
M3 - Article
AN - SCOPUS:85077244458
JO - IEEE Transactions on Circuits and Systems I: Regular Papers
JF - IEEE Transactions on Circuits and Systems I: Regular Papers
SN - 1549-8328
ER -