Fixed-time stability super-twisting sliding mode control with mismatched disturbances

In practice, many systems are affected by mismatched disturbances, which do not satisfy the match condition. This study focuses on a variable gain super-twisting sliding mode controller that achieves global robust fixed-time stabilization of second-order with matched and disturbances without observers. The proposed variables adopt state-dependent exponent coefficient, improves robustness properties surface switching control law. At same time, strategy alleviates chattering phenomenon using variable-gain algorithm. settling time is calculated priori Lyapunov method. Simulation results show that, compared recently published controllers, our can suppress disturbance more rapidly, simply, effectively.