Networked‐based H∞ control for discrete‐time slow sampling singularly perturbed systems via an improved event‐triggered approach

This paper investigates the H∞ control problem for a class of slow sampling singularly perturbed systems (S3PSs) with an improved event‐triggered method (ETM). Compared with the conventional static ETM, an improved one with time‐varying threshold is exploited to enhance the dynamic performance for t...

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Bibliographic Details
Published in:Asian journal of control 2023-01, Vol.25 (1), p.345-358
Main Authors: Hu, Yue, Ma, Lei, Cai, Chenxiao
Format: Article
Language:English
Subjects:
Algorithms
Controllers
event‐triggered control
H-infinity control
H∞ control
Liapunov functions
networked control
Sampling
Singular perturbation
singularly perturbed system
Upper bounds
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Summary:This paper investigates the H∞ control problem for a class of slow sampling singularly perturbed systems (S3PSs) with an improved event‐triggered method (ETM). Compared with the conventional static ETM, an improved one with time‐varying threshold is exploited to enhance the dynamic performance for the S3PSs with certain communication frequency reduction. By adjusting the threshold with the triggering error, a faster converge speed can be achieved. Sufficient conditions are derived by constructing a singular perturbation parameter (SPP) dependent Lyapunov function, with which both asymptotic stability can be guaranteed for the closed‐loop S3PSs and the ill‐conditioned numerical issues can be avoided. By resorting to the matrix inequality techniques, an ETM‐based controller can be developed within the upper bound of the SPP. Further demonstration for the feasibility of the proposed algorithm is presented by designing an ETM‐based controller for an inverted pendulum system.
ISSN:1561-8625
1934-6093
DOI:10.1002/asjc.2772