Adaptive Fuzzy Sliding Mode Control with Linearization Feedback

In this documentation, I provide a comprehensive explanation of Adaptive Fuzzy Sliding Mode Control with Linearization Feedback. This control methodology integrates the advantages of linearization feedback techniques with adaptive fuzzy sliding mode control, enabling precise system regulation under conditions of uncertainty and nonlinearity. To facilitate better understanding of this control approach, I include detailed MATLAB programs and complete Simulink models. These resources demonstrate the full implementation process, covering system modeling techniques using state-space representations, controller design incorporating fuzzy logic rule bases and sliding surface definitions, and simulation procedures with stability analysis. The implementation features key algorithms such as parameter adaptation laws for fuzzy membership functions and gain scheduling for the sliding mode component. The provided code includes functions for calculating Lyapunov stability criteria and handling system uncertainties through real-time adjustment mechanisms. This documentation aims to assist engineers and researchers in effectively understanding and applying this advanced control methodology to complex dynamical systems.