Stabilization of Takagi–Sugeno fuzzy Hidden Markov Jump Systems with memory sampled-data control
Rakkiyappan R. Sharmila V. Janani K. Kashkynbayev A.
December 2024Elsevier B.V.
Mathematics and Computers in Simulation
2024#226204 - 217 pp.
The stability of Takagi–Sugeno fuzzy hidden Markovian jump systems by employing a memory sampled-data control (SDC) scheme that includes a constant signal transmission delay is investigated. The asynchronous situation between the system plant and the controller is represented using the hidden Markov model. The stability of the provided model is ensured by implication of the fuzzy time-scheduled Lyapunov functional (LF), and the sufficient conditions are derived in the form of linear matrix inequalities (LMIs). This simplifies the utilization and generalization of the analysis results, as they exhibit convexity in the subsystem matrix. Additionally, it diminishes the influence of external disturbances by employing the H∞ norm bound. To acquire the required time-dependent memory SDC, it is necessary to solve this set of LMIs. The efficacy and feasibility of the proposed method is established by attaining stability for a chaotic Lorenz system using the T–S fuzzy Hidden Markov Jump Systems with Memory SDC.
Hidden Markov jump system , Memory sampled-data control , Time-scheduled Lyapunov functional , T–S fuzzy system
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Department of Mathematics, Bharathiar University, Tamilnadu, Coimbatore, 641046, India
Department of Science and Humanities, Karpagam College of Engineering, Coimbatore, India
Department of Mathematics, School of Sciences and Humanities, Nazarbayev University, Astana, Kazakhstan
Department of Mathematics
Department of Science and Humanities
Department of Mathematics
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