Uniting Control for Finite Time Stabilization of Nonlinear Detectable Systems

TL;DR

This paper introduces a supervisory control method that combines local and global controllers to achieve finite-time stabilization of nonlinear systems, ensuring output convergence and boundedness.

Contribution

It proposes a novel supervisory control strategy uniting local and global controllers for finite-time stabilization under detectability assumptions.

Findings

Global control guarantees boundedness and output convergence to zero.

Local control ensures finite-time convergence to a zero dynamics set.

Simulation demonstrates the effectiveness of the proposed control scheme.

Abstract

The stabilization of nonlinear systems under zero-state-detectability assumption or its analogues is considered. The proposed supervisory control provides a finite time practical stabilization of output and it is based on uniting local and global controllers. The global control ensures boundedness of solutions and output convergence to zero, while local one ensures finite time convergence to a predefined set into the zero dynamics set. Computer simulation illustrates advantages of the proposed algorithm.