Design of a Fixed-Time Stabilizer for Uncertain Chaotic Systems Subject to External Disturbances

This paper addresses the fixed-time stability problem of chaotic systems with internal uncertainties and external disturbances. To this end, new sliding-mode surfaces are introduced to design controllers for stabilization perturbed systems. First, required conditions deriving determined. Then, using obtained theorems sliding mode techniques, synthesized. The proposed controller enables convergence trajectories system origin in finite time, independently initial conditions. performance approach is assessed a simulation study PMSM Matouk system. Among advantages its robustness disturbances boundedness settling time constant value any condition.