Second-Order Sliding Mode Optimal Control for Two-Dimensional Systems Under Dynamic Binary Encoding

doi:10.1109/TFUZZ.2025.3633958

Second-Order Sliding Mode Optimal Control for Two-Dimensional Systems Under Dynamic Binary Encoding

2025-11-17

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DOI：10.1109/TFUZZ.2025.3633958

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This study introduces a novel integrated control and communication framework specifically designed for 2-D systems. First, a super-twisting-based second-order sliding mode control strategy is proposed against uncertainties and to effectively eliminate chattering. Second, a self-triggered communication protocol is developed, markedly reducing communication overhead by proactively scheduling transmissions without continuous error monitoring. Third, a dynamic binary encoding strategy is introduced, dynamically adjusting quantization intervals according to real-time historical data, thus improving signal accuracy and reducing quantization errors. Explicit sufficient conditions are derived, guaranteeing both practical reachability of the sliding manifold and the ultimate boundedness of the closed-loop system. In addition, an optimization framework employing the Grey Wolf Optimizer algorithm is formulated to optimize sliding mode parameters, further reducing the convergence bounds. Comprehensive simulation results illustrate the superior performance and effectiveness of the proposed framework compared to existing methods.

Keywords:

Dynamic binary encoding

Grey Wolf Optimizer

second-order sliding mode control

self-triggered protocol

Second-Order Sliding Mode Optimal Control for Two-Dimensional Systems Under Dynamic Binary Encoding

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