Integral Sliding Mode Control for a Kind of Impulsive Uncertain Reaction-Diffusion Systems

This article discusses the integral sliding mode control problem for a kind of periodically impulsive uncertain reaction-diffusion systems (IURDSs). A novel integral sliding surface containing impulsive effects and reaction-diffusion terms is constructed, such that the impulsive effects for IURDSs c...

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Bibliographic Details
Published in:IEEE transactions on automatic control 2023-02, Vol.68 (2), p.1154-1160
Main Authors: Kao, Yonggui, Ma, Suriguga, Xia, Hongwei, Wang, Changhong, Liu, Yunlong
Format: Article
Language:English
Subjects:
Asymptotic stability
Control theory
Diffusion effects
Impulsive effects
integral sliding mode control (SMC)
Linear matrix inequalities
Mathematical analysis
Numerical stability
Power system stability
reaction-diffusion terms (RDTs)
robust exponential stability (ES)
Robustness (mathematics)
Sliding mode control
Stability criteria
Synchronization
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Summary:This article discusses the integral sliding mode control problem for a kind of periodically impulsive uncertain reaction-diffusion systems (IURDSs). A novel integral sliding surface containing impulsive effects and reaction-diffusion terms is constructed, such that the impulsive effects for IURDSs can be removed. A novel sliding mode controller with impulsive effects is designed to ensure the reachability of the specified sliding surface in a finite time interval. By means of linear matrix inequalities (LMIs), the robust exponential stability of this kind of IURDSs are derived. Finally, a numerical example is provided to verify the availability of our findings.
ISSN:0018-9286
1558-2523
DOI:10.1109/TAC.2022.3149865