TY - JOUR
T1 - Exponential stabilization of takagi-sugeno fuzzy systems with aperiodic sampling
T2 - An aperiodic adaptive event-triggered method
AU - Wang, Yueying
AU - Xia, Yuanqing
AU - Ahn, Choon Ki
AU - Zhu, Yanzheng
N1 - Funding Information:
Manuscript received December 8, 2017; revised February 28, 2018; accepted April 30, 2018. Date of publication May 28, 2018; date of current version January 6, 2019. This work was supported in part by the National Natural Science Foundation of China under Grant 61703275, in part by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325, in part by the National Key Research and Development Program of China under Grant 2018YFB1003700, in part by the Beijing Natural Science Foundation under Grant 4161001, in part by the National Natural Science Foundation Projects of International Cooperation and Exchanges under Grant 61720106010. This paper was recommended by Associate Editor H. Ying. (Corresponding authors: Yueying Wang; Choon Ki Ahn.) Y. Wang is with the School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China (e-mail: wyy676@126.com).
Publisher Copyright:
© 2018 IEEE.
PY - 2019/2
Y1 - 2019/2
N2 - In this paper, we study the exponential stabilization problem for continuous-time Takagi-Sugeno fuzzy systems subject to aperiodic sampling. By aiming to transmission reduction, an appropriate aperiodic event-triggered communication scheme with adaptive mechanism is put forward, which covers the existing periodic mechanisms as special cases. For the sake of reduction in design conservativeness, both the available information of sampling behavior and threshold error are fully acquired by constructing a novel time-dependent Lyapunov functional. Then, a new exponential stability criterion is presented to establish the quantitative relationship among the adaptive adjusted event threshold, the decay rate, the upper bound, and the lower bound of variable sampling period, simultaneously. By resorting to a matrix transformation, the corresponding stabilization criterion is further derived by which the sampled-data controller can be obtained. Finally, two illustrative examples are provided to demonstrate the virtue and applicability of proposed design method.
AB - In this paper, we study the exponential stabilization problem for continuous-time Takagi-Sugeno fuzzy systems subject to aperiodic sampling. By aiming to transmission reduction, an appropriate aperiodic event-triggered communication scheme with adaptive mechanism is put forward, which covers the existing periodic mechanisms as special cases. For the sake of reduction in design conservativeness, both the available information of sampling behavior and threshold error are fully acquired by constructing a novel time-dependent Lyapunov functional. Then, a new exponential stability criterion is presented to establish the quantitative relationship among the adaptive adjusted event threshold, the decay rate, the upper bound, and the lower bound of variable sampling period, simultaneously. By resorting to a matrix transformation, the corresponding stabilization criterion is further derived by which the sampled-data controller can be obtained. Finally, two illustrative examples are provided to demonstrate the virtue and applicability of proposed design method.
KW - Aperiodic adaptive event-triggered (AET) scheme
KW - Aperiodic sampling
KW - Exponential stabilization
KW - Takagi-Sugeno fuzzy systems
UR - http://www.scopus.com/inward/record.url?scp=85047632948&partnerID=8YFLogxK
U2 - 10.1109/TSMC.2018.2834967
DO - 10.1109/TSMC.2018.2834967
M3 - Article
AN - SCOPUS:85047632948
SN - 2168-2216
VL - 49
SP - 444
EP - 454
JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems
JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems
IS - 2
M1 - 8367980
ER -