TY - JOUR
T1 - Asynchronous Filtering for Discrete-Time Fuzzy Affine Systems with Variable Quantization Density
AU - Ning, Zepeng
AU - Zhang, Lixian
AU - De Jesus Rubio, Jose
AU - Yin, Xunyuan
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2017/1
Y1 - 2017/1
N2 - This paper is concerned with the problem of asynchronous H∞ filtering for a class of discrete-time Takagi-Sugeno fuzzy affine systems against time-varying signal transmission delays and measurement quantization. The asynchrony refers to the situation that the plant state and the filter state belong to different local state space regions, and the quantization density can be adjusted to satisfy different performance requirements at different time instants. By transforming the filtering error system into an input-output form consisting of two interconnected subsystems, sufficient conditions on the existence of the desired asynchronous filter are established via the scaled small gain theorem to ensure that the closed-loop system is asymptotically stable with a prescribed H∞ performance index with the aid of a novel piecewise Lyapunov-Krasovskii functional and the S-procedure approach. Finally, a practical example of cart-pendulum with a modified model is provided to illustrate the effectiveness of the obtained theoretical results.
AB - This paper is concerned with the problem of asynchronous H∞ filtering for a class of discrete-time Takagi-Sugeno fuzzy affine systems against time-varying signal transmission delays and measurement quantization. The asynchrony refers to the situation that the plant state and the filter state belong to different local state space regions, and the quantization density can be adjusted to satisfy different performance requirements at different time instants. By transforming the filtering error system into an input-output form consisting of two interconnected subsystems, sufficient conditions on the existence of the desired asynchronous filter are established via the scaled small gain theorem to ensure that the closed-loop system is asymptotically stable with a prescribed H∞ performance index with the aid of a novel piecewise Lyapunov-Krasovskii functional and the S-procedure approach. Finally, a practical example of cart-pendulum with a modified model is provided to illustrate the effectiveness of the obtained theoretical results.
KW - Asynchronous filtering
KW - T-S fuzzy affine systems
KW - piecewise Lyapunov-Krasovskii functional (PLKF)
KW - scaled small gain (SSG) theorem
KW - signal transmission delays
KW - variable quantization density
UR - http://www.scopus.com/inward/record.url?scp=84953264632&partnerID=8YFLogxK
U2 - 10.1109/TCYB.2015.2509170
DO - 10.1109/TCYB.2015.2509170
M3 - Artículo
C2 - 26731789
SN - 2168-2267
VL - 47
SP - 153
EP - 164
JO - IEEE Transactions on Cybernetics
JF - IEEE Transactions on Cybernetics
IS - 1
M1 - 7370789
ER -