Design of Linear Matrix Inequality-Based Adaptive Barrier Global Sliding Mode Fault Tolerant Control for Uncertain Systems with Faulty Actuators

This paper proposes a linear matrix inequality (LMI)-based adaptive barrier global sliding mode control (ABGSMC) for uncertain systems with faulty actuators. The proposed approach is derived using novel nonlinear surface to guarantee the dynamic property and ensure system stability occurrence of in presence actuator faults. optimal coefficients are determined LMI method. system’s asymptotic proven Lyapunov theory. Additionally, an function considered convergence output variables predefined locality zero limited time, even where external disturbances faults present. In order decrease steepness action mitigate chattering phenomenon, hyperbolic tangent employed instead signum control. method validated simulation study Genesio’s chaotic system.