Abstract
In this study, a novel barrier function-based adaptive non-singular terminal sliding mode control method-ology is suggested for robust stability of disturbed nonlinear systems. It is proved that the barrier function-based control method can force the state trajectories to converge to a region near origin in the finite time. A sufficient criterion is derived using Lyapunov stability theorem and linear matrix in-equalities (LMIs) to satisfy the asymptotic stability of state trajectories. In addition, the design eliminates the necessity to have any knowledge about the upper bounds of external disturbances; a common re-quirement in sliding mode control implementation. The stability analysis verifies that the system states, under the designed control scheme, can asymptotically converge to a pre-defined region. Lastly, simula-tion studies are presented to confirm the efficacy and robustness of proposed approach.(c) 2022 Elsevier Ltd. All rights reserved.