Stabilization Controller of an Extended Chained Nonholonomic System With Disturbance: An FAS Approach

Abstract

This study examines the stabilization issue of extended chained nonholonomic systems (ECNSs) with external disturbance. Unlike the existing approaches, we transform the considered system into a fully actuated system (FAS) model, simplifying the stabilizing controller design. We implement a separate controller design and propose exponential stabilization controller and finite-time stabilization controller under finite-time disturbance observer (FTDO) for the two system inputs. In addition, we discuss the specifics of global stabilization control design. Our approach demonstrates that two system states exponentially or asymptotically converge to zero under the provided switching stabilization control strategy, while all other system states converge to zero within a finite time.