Open AccessStability of impulsive switched systems with sampled‐data control
Author(s) -
Lian Jie,
Li Chunyang,
Zhai Guisheng
Publication year - 2021
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/cth2.12058
Subject(s) - control theory (sociology) , impulse (physics) , exponential stability , lyapunov function , stability (learning theory) , sampled data systems , asynchronous communication , computer science , mathematics , sampling (signal processing) , control system , control (management) , engineering , nonlinear system , filter (signal processing) , artificial intelligence , machine learning , electrical engineering , computer network , physics , quantum mechanics , computer vision
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.