Event-triggered finite-time resilient control for switched systems: an observer-based approach and its applications to a boost converter circuit system model
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Under an event-triggered communication scheme (ETCS), this note focuses on the observer-based finite-time resilient control problem for a class of switched systems. Different from the existing finite-time problems, not only the problem of finite-time boundedness (FTBs) but also the problem of input-output finite-time stability (IO-FTSy) are considered in this paper. To effectively use the network resources, an ETCS is formulated for switched systems. Considering that not all the states could be measured, thus an event-triggered observer is constructed, and then, an observer-based resilient controller is devised, which robustly stabilizes the given systems in the meaning of finite-time control. Based on time-delay method and Lyapunov functional approach, interesting results are derived to verify the properties of the FTBs and the IO-FTSy of the event-triggered (ET) closed-loop error switched systems. All the matrix inequalities can be converted to linear matrix inequalities (LMIs) so as to simultaneously obtain the controller gain and observer gain. Finally, the applicability of the proposed control scheme is verified via a boost converter circuit system.
KeywordsEvent-triggered communication scheme Switched linear system Finite-time boundedness Observer-based resilient control Input–output finite-time stability
This work was supported in part by National Natural Science Foundation of China under grant (61773225, 61773226) and in part by the Taishan Scholar Project of Shandong Province (TSQN20161033).
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Conflict of interest
The authors declare that they have no conflict of interest.
- 17.Qi, W., Zong, G., Karimi, H.R., L.: Control for positive delay systems with semi-Markov process and application to a communication network model, IEEE Trans. Ind. Electron. https://doi.org/10.1109/TIE.2018.2838113