DESIGN OF A FIXED-TIME CONTROLLER FOR CHAOTIC SYSTEMS

This paper addresses the fixed-time stability problem of chaotic systems. To this end, new sliding mode surfaces are introduced to design fixed-time controllers for the stabilization of chaotic systems. First, the required conditions for deriving the fixed-time stability are determined. Then, using the obtained stability theorems and sliding mode techniques, the controllers are designed. The proposed controller enables the convergence of the trajectories of the chaotic system to the origin in finite time, independently of the initial conditions.