Global finite-time stabilization of a class of uncertain nonlinear systems

Authors:
Xianqing Huang;Wei Lin;Bo Yang
Affiliations:
Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, OH 44106, USA;Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, OH 44106, USA;Department of Electrical Engineering and Computer Science, Case Western Reserve University, Cleveland, OH 44106, USA
Venue:
Automatica (Journal of IFAC)
Year:
2005

Citing 6
Cited 10

Finite time controllers

SIAM Journal on Control and Optimization
Asymptotic stabilization of a class of smooth two-dimensional systems

SIAM Journal on Control and Optimization
Stabilization of nonlinear systems in the plane

Systems & Control Letters
Adding an integrator for the stabilization problem

Systems & Control Letters
Homogeneous Lyapunov function for homogeneous continuous vector field

Systems & Control Letters
Finite-Time Stability of Continuous Autonomous Systems

SIAM Journal on Control and Optimization

Brief paper: SMC design for robust H∞ control of uncertain stochastic delay systems

Automatica (Journal of IFAC)
Finite-Time Input-to-State Stability and Applications to Finite-Time Control Design

SIAM Journal on Control and Optimization
Brief paper: Finite-time stability and instability of stochastic nonlinear systems

Automatica (Journal of IFAC)
Derivative and integral terminal sliding mode control for a class of MIMO nonlinear systems

Automatica (Journal of IFAC)
Brief paper: Finite-time stabilization by state feedback control for a class of time-varying nonlinear systems

Automatica (Journal of IFAC)
Nonsmooth stabilization of a class of nonlinear cascaded systems

Automatica (Journal of IFAC)
Neural network-based robust finite-time control for robotic manipulators considering actuator dynamics

Robotics and Computer-Integrated Manufacturing
Recursive design of finite-time convergent observers for a class of time-varying nonlinear systems

Automatica (Journal of IFAC)
Robust Adaptive Finite-Time Stabilization of Nonlinearly Parameterized Nonholonomic Systems

Acta Applicandae Mathematicae: an international survey journal on applying mathematics and mathematical applications
Finite-time stabilization of stochastic nonlinear systems in strict-feedback form

Automatica (Journal of IFAC)

Quantified Score

Hi-index	22.16

Visualization

Abstract

This paper studies the problem of finite-time stabilization for nonlinear systems. We prove that global finite-time stabilizability of uncertain nonlinear systems that are dominated by a lower-triangular system can be achieved by Holder continuous state feedback. The proof is based on the finite-time Lyapunov stability theorem and the nonsmooth feedback design method developed recently for the control of inherently nonlinear systems that cannot be dealt with by any smooth feedback. A recursive design algorithm is developed for the construction of a Holder continuous, global finite-time stabilizer as well as a C^1 positive definite and proper Lyapunov function that guarantees finite-time stability.