TY - JOUR
T1 - Stability of impulsive switched systems with sampled-data control
AU - Lian, Jie
AU - Li, Chunyang
AU - Zhai, Guisheng
N1 - Funding Information:
This work was supported in part by the National Science Foundation of China under Grant 61773089 and Grant 61973050, and in part by the Fundamental Research Funds for the Central Universities under Grant DUT20JC14 and Grant DUT20GJ209.
Publisher Copyright:
© 2020 The Authors. IET Control Theory & Applications published by John Wiley & Sons Ltd on behalf of The Institution of Engineering and Technology
PY - 2021/3
Y1 - 2021/3
N2 - This paper investigates the sampled-data control of impulsive switched systems with asynchronous switching. The impulses are not required to synchronise the switching. Since it is possible that switches may occur in sampling intervals, the mismatched problem may happen between controllers and system modes. Aiming for this, a functional consisting of multiple impulse-dependent Lyapunov functions and looped functionals is constructed, which does not increase at impulsive times. By using ADT method, some sufficient conditions for exponential stability are proposed in terms of linear matrix inequalities. Furthermore, sampled-data controllers are presented to stabilise the impulsive switched systems. The efficiency of the proposed results is verified by an F-18 aircraft.
AB - This paper investigates the sampled-data control of impulsive switched systems with asynchronous switching. The impulses are not required to synchronise the switching. Since it is possible that switches may occur in sampling intervals, the mismatched problem may happen between controllers and system modes. Aiming for this, a functional consisting of multiple impulse-dependent Lyapunov functions and looped functionals is constructed, which does not increase at impulsive times. By using ADT method, some sufficient conditions for exponential stability are proposed in terms of linear matrix inequalities. Furthermore, sampled-data controllers are presented to stabilise the impulsive switched systems. The efficiency of the proposed results is verified by an F-18 aircraft.
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U2 - 10.1049/cth2.12058
DO - 10.1049/cth2.12058
M3 - Article
AN - SCOPUS:85100332673
SN - 1751-8644
VL - 15
SP - 523
EP - 533
JO - IET Control Theory and Applications
JF - IET Control Theory and Applications
IS - 4
ER -