Finite-Time Stability of MIMO Nonlinear Systems Based on Robust Adaptive Sliding Control: Methodology and Application to Stabilize Chaotic Motions

This paper introduces a robust adaptive sliding mode control to solve finite-time stability of the uncertain nonlinear systems with multiple inputs and outputs (MIMO). The proposed algorithm guarantees strict robustness fast convergence system trajectories zero in finite time under negative effects uncertainties and/or external disturbances. fundamental methodology is based on an improved modification super-twisting technique alleviate undesirable influence chattering phenomenon. In addition, law constructed ensure even without prior awareness upper bounds A general closed-loop disturbed MIMO achieved by Lyapunov theorem. Lastly, applied stabilize typical chaotic behaviors Duffing - Holmes Lorenz system. advantages effectiveness method are clearly demonstrated through results numerical simulations compared other existent methods.