Journal
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
Volume 69, Issue 12, Pages 4969-4973Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCSII.2022.3193140
Keywords
Finite-time stability; event-triggered mechanism; average dwell time
Categories
Funding
- National Natural Science Foundation of China [62073188]
- Postdoctoral Science Foundation of China [2022T150374]
- Natural Science Foundation of Shandong [ZR2021MF083]
- National Research Foundation of Korea (NRF) - Korea Government (Ministry of Science and ICT) [NRF-2020R1A2C1005449]
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This study investigates the finite-time control problem for discrete-time positive systems subject to event-triggered scheme and Markov jump parameters. An improved event-triggered scheme is proposed using switching transition probability and linear programming.
This brief investigates the finite-time control problem for discrete-time positive systems subject to event-triggered scheme and Markov jump parameters. Switching transition probability is used to extend the fixed transition probability, which is more suitable to describe the performance of Markov jump systems (MJSs). On the basis of the 1-norm, a developed event-triggered scheme is proposed to be associated with the sample signal and the actual signal. Furthermore, a linear Lyapunov function and an average dwell time approach are adopted to obtain sufficient conditions for guaranteeing stochastic finite-time stability of the underlying systems. Additionally, a matrix decomposition strategy is constructed to design a finite-time event-triggered control law such that the corresponding MJSs are positive and stochastically finite-time bounded. All conditions are proposed on the basis of linear programming. Finally, a local railway transportation model is provided to verify the practicability of the strategy.
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