Title
Input-to-State Stability of Impulsive Systems via Event-Triggered Impulsive Control
Abstract
This article investigates input-to-state stability (ISS) and integral ISS (iISS) of nonlinear impulsive systems based on the event-triggered impulsive control (ETIC) strategy, where the impulse sequence is generated by some predesigned event conditions. Unlike traditional event-triggered control, ETIC means that the controller is activated only when some state-dependent event conditions are triggered and moreover, there is not any control transmission between two consecutive triggered impulse instants. Event-triggered impulses are usually regarded as a class of state-dependent impulses, where the event-triggered mechanism (ETM) is an impulse generator. By using the ETIC strategy, some Lyapunov-based criteria are established, which can effectively avoid infinitely fast triggering behavior and guarantee ISS/iISS of nonlinear impulsive systems. Then, the theoretical results are applied to nonlinear system, where a class of ETMs and impulsive control gain are derived with the help of LMIs. Finally, two numerical examples are presented to illustrate the validity of our control strategies.
Year
DOI
Venue
2022
10.1109/TCYB.2020.3044003
IEEE Transactions on Cybernetics
Keywords
DocType
Volume
Event-triggered impulsive control (ETIC),impulsive systems,infinitely fast triggering behavior,input-to-state stability (ISS),integral input-to-state stability (iISS)
Journal
52
Issue
ISSN
Citations 
7
2168-2267
2
PageRank 
References 
Authors
0.37
21
3
Name
Order
Citations
PageRank
Xiaodi Li141020.60
Taixiang Zhang231.73
Jianhong Wu345877.19