Multiple Sliding Modes Enlarge Basins of Attraction in Switched Control Systems

Abstract

This paper investigates the role of hidden dynamics in influencing the stability of sliding solutions within control-switched systems. By employing cell-mapping methods, we provide numerical evidence that incorporating hidden dynamics on the switching manifold can extend the sliding dynamics, resulting in a significant expansion of the system’s region of attraction. As representative examples, we considered control systems with stable and unstable dynamics converging around multiple equilibrium points.