This analysis demonstrates improved dynamic characteristics with reduced packet losses in fuzzy Markov jump systems, indicating effective control strategies.
This work studies the tracking control problem of discrete Takagi‐Sugeno (TS) fuzzy Markovian jump systems (MJSs) with packet losses via the dynamic output feedback sliding mode control (DOF‐SMC) method. An argument system including tracking errors, system state, and reference model state is constructed. Based on the proposed compensation strategy, a novel stochastic output sliding mode surface that can more accurately describe the dynamic characteristics of the system with packet losses is designed. And the DOF‐SMC law, which can drive the argument system state into the designated sliding mode region, is constructed for the argument system. Then, more relaxed conditions are derived via a fuzzy Lyapunov function to ensure the stochastic stability (SS) of the sliding mode dynamics. Finally, two simulation examples are provided to demonstrate the performance and applicability of the suggested approach.
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He et al. (2025) studied this question.
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