TY - JOUR

T1 - Global finite-time stabilization of a class of perturbed planar systems with actuator saturation and disturbances

AU - Su, Yuxin

AU - Zheng, Chunhong

AU - Mercorelli, Paolo

PY - 2022/5/1

Y1 - 2022/5/1

N2 - This paper addresses the problem of global finite-time stabilization for a class of planar nonlinear systems subject to actuator saturation and bounded disturbances. A singularity-free integral sliding mode surface is first developed by geometric homogeneity technique and then a simple saturated robust control is proposed. Global finite-time stabilization is proved with geometric homogeneity technique and Lyapunov's stability theory. The conditions on control gains ensuring global finite-time stability and avoidance of actuator saturation are explicitly given. Advantages of the proposed control include simple and intuitive structure, global finite-time stability featuring faster transient and higher steady-state stabilization, and the ability to avoid actuator saturation by selecting the control gains a priori. Simulations show the improved performance of the proposed approach.

AB - This paper addresses the problem of global finite-time stabilization for a class of planar nonlinear systems subject to actuator saturation and bounded disturbances. A singularity-free integral sliding mode surface is first developed by geometric homogeneity technique and then a simple saturated robust control is proposed. Global finite-time stabilization is proved with geometric homogeneity technique and Lyapunov's stability theory. The conditions on control gains ensuring global finite-time stability and avoidance of actuator saturation are explicitly given. Advantages of the proposed control include simple and intuitive structure, global finite-time stability featuring faster transient and higher steady-state stabilization, and the ability to avoid actuator saturation by selecting the control gains a priori. Simulations show the improved performance of the proposed approach.

KW - actuator saturation

KW - finite-time stabilization

KW - planar systems

KW - sliding mode control

KW - uncertain systems

KW - Engineering

UR - http://www.scopus.com/inward/record.url?scp=85111726010&partnerID=8YFLogxK

UR - https://onlinelibrary.wiley.com/doi/epdf/10.1002/asjc.2634

UR - https://www.mendeley.com/catalogue/aec0aa83-6bb8-3283-8d83-4b7094b988d5/

U2 - 10.1002/asjc.2634

DO - 10.1002/asjc.2634

M3 - Comments / Debate / Reports

AN - SCOPUS:85111726010

VL - 24

SP - 1497

EP - 1502

JO - Asian Journal of Control

JF - Asian Journal of Control

SN - 1561-8625

IS - 3

ER -