TY - JOUR
T1 - Stability Analysis of Aperiodic Sampled-Data Systems
T2 - A Switched Polytopic System Method
AU - Sun, Jian
AU - Chen, Guoliang
AU - Chen, Jie
N1 - Publisher Copyright:
© 2004-2012 IEEE.
PY - 2020/6
Y1 - 2020/6
N2 - Stability of aperiodic sampled-data systems is investigated in this brief. A sampling interval discretization method is proposed to transform an aperiodic sampled-data system into a discrete-time switched polytopic system with help of the convex approximation technique. Using a high order time-scheduled switched homogeneous Lyapunov function (TSSHLF), a necessary and sufficient stability condition for the discrete-time switched polytopic system is proposed and presented in terms of linear matrix inequality (LMI). On the basis of this result, a sufficient stability criterion for the aperiodic sampled-data system is obtained. Finally, numerical examples are given to confirm the effectiveness of the proposed method and significant improvements over some existing ones.
AB - Stability of aperiodic sampled-data systems is investigated in this brief. A sampling interval discretization method is proposed to transform an aperiodic sampled-data system into a discrete-time switched polytopic system with help of the convex approximation technique. Using a high order time-scheduled switched homogeneous Lyapunov function (TSSHLF), a necessary and sufficient stability condition for the discrete-time switched polytopic system is proposed and presented in terms of linear matrix inequality (LMI). On the basis of this result, a sufficient stability criterion for the aperiodic sampled-data system is obtained. Finally, numerical examples are given to confirm the effectiveness of the proposed method and significant improvements over some existing ones.
KW - Aperiodic sampled-data system
KW - discrete-time switched polytopic system
KW - stability
KW - time-scheduled switched homogeneous Lyapunov function
UR - https://www.scopus.com/pages/publications/85085951545
U2 - 10.1109/TCSII.2019.2924988
DO - 10.1109/TCSII.2019.2924988
M3 - Article
AN - SCOPUS:85085951545
SN - 1549-7747
VL - 67
SP - 1054
EP - 1058
JO - IEEE Transactions on Circuits and Systems II: Express Briefs
JF - IEEE Transactions on Circuits and Systems II: Express Briefs
IS - 6
M1 - 8755332
ER -