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Accumulated-state-error-based event-triggered sampling scheme and its application to H∞ control of sampled-data systems
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Accumulated-state-error-based event-triggered sampling scheme and its application to H∞ control of sampled-data systems
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Journal Article
Accumulated-state-error-based event-triggered sampling scheme and its application to H∞ control of sampled-data systems
2024
Overview
This paper is concerned with event-triggered
H
∞
control of sampled-data systems. Its novelties lie in three aspects: (i) A novel accumulated-state-error-based event-triggered scheme is introduced by comparing the integral of the state error from
t
k
to
t
with the system state sampled at
t
k
. This condition works well due to the fact that the so-called Zeno behaviour does not occur. (ii) A novel Lyapunov functional is constructed to establish a criterion to ensure some certain
H
∞
performance of the closed-loop system. This Lyapunov functional is dependent on the integral of the state error involved in the event-triggered scheme. (iii) Under the event-triggered sampling scheme, suitable state-feedback controllers can be designed rather than be given a priori. Moreover, a self-triggered implementation of the proposed event-triggered sampling scheme is presented as well. Finally, a batch reactor model and an inverted pendulum system are given to demonstrate the effectiveness of the proposed method.
Publisher
Science China Press,Springer Nature B.V
