Stabilization via Event-Triggered Impulsive Control With Constraints for Switched Stochastic Systems

This article studies the event-triggered impulsive control (ETIC) with constraints for the stabilization of switched stochastic systems (SSSs). An ETIC scheme with constraints is proposed for SSS by designing two levels of events via three indices: 1) a threshold value; 2) a control-free index; and...

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Bibliographic Details
Published in:IEEE transactions on cybernetics 2022-11, Vol.52 (11), p.11834-11846
Main Authors: Liu, Bin, Sun, Zhijie, Li, Ming, Liu, Dong-Nan
Format: Article
Language:English
Subjects:
Almost exponential stability
Constraints
Control systems
Control theory
event-triggered control (ETC)
impulsive control
Indexes
pth moment exponential stability
Sampling
Stability
Stability criteria
Stabilization
Stochastic systems
Subsystems
switched stochastic systems (SSSs)
Switches
time delays
Transition probabilities
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Summary:This article studies the event-triggered impulsive control (ETIC) with constraints for the stabilization of switched stochastic systems (SSSs). An ETIC scheme with constraints is proposed for SSS by designing two levels of events via three indices: 1) a threshold value; 2) a control-free index; and 3) a check period. It is also constrained via a constraint index. Based on the activation probabilities and transition probabilities of subsystems, the stabilizations in terms of the p th moment exponential stability and almost exponential stability are achieved, respectively, by the ETIC with constraints. Moreover, based on the scheme of ETIC with constraints, sampling-based ETIC and random ETIC are proposed, respectively. The stabilization conditions via sampling-based ETIC and random ETIC are also derived. It is shown that the ETIC with constraints is non-Zeno and robust with respect to time delays and can achieve lower impulse frequency than the classic time-based impulsive control and recent ETIC schemes. Finally, two examples are presented to demonstrate the effectiveness of the ETIC with constraints.
ISSN:2168-2267
2168-2275
DOI:10.1109/TCYB.2021.3073023