Saturated Lipschitz Continuous Sliding Mode Controller for Perturbed Systems With Uncertain Control Coefficient

In this article, a Lipschitz continuous sliding mode controller (LCSMC) is proposed to stabilize an integrator chain with a saturated control input, Lipschitz continuous perturbations, and an unknown control coefficient. The proposed controller ensures global finite-time convergence to the sliding surface by means of a control signal that is Lipschitz continuous (i.e., has finite gain) and is bounded by a given actuator limit. Stability conditions for the controller's tuning parameters are derived and the effectiveness of the approach is demonstrated in the course of a numerical simulation.

Automated summary

This article proposes a Lipschitz continuous sliding mode controller (LCSMC) to stabilize an integrator chain with a saturated control input, Lipschitz continuous perturbations, and an unknown control coefficient. The controller uses a control signal that is Lipschitz continuous and bounded by a given actuator limit to ensure global finite-time convergence to the sliding surface. Stability conditions for the controller's tuning parameters are derived and the effectiveness of the approach is demonstrated through numerical simulation.