scholarly journals A Unified Lyapunov Function for Finite Time Stabilization of Continuous and Variable Structure Systems with Resets

2017 ◽  
pp. 223-246 ◽  
Author(s):  
Harshal B. Oza ◽  
Yury V. Orlov ◽  
Sarah K. Spurgeon
Keyword(s):  
Lyapunov Function ◽  
Finite Time ◽  
Variable Structure ◽  
Variable Structure Systems ◽  
Finite Time Stabilization

scholarly journals Adaptive Finite-Time Stabilization of High-Order Nonlinear Systems with Dynamic and Parametric Uncertainties

2016 ◽  
Vol 2016 ◽  
pp. 1-11 ◽  
Author(s):  
Meng-Meng Jiang ◽  
Xue-Jun Xie
Keyword(s):  
Nonlinear Systems ◽  
Lyapunov Function ◽  
Finite Time ◽  
State Feedback ◽  
High Order ◽  
Parametric Uncertainties ◽  
Nonlinear Functions ◽  
Sign Function ◽  
Dynamic Uncertainty ◽  
Finite Time Stabilization

Under the weaker assumption on nonlinear functions, the adaptive finite-time stabilization of more general high-order nonlinear systems with dynamic and parametric uncertainties is solved in this paper. To solve this problem, finite-time input-to-state stability (FTISS) is used to characterize the unmeasured dynamic uncertainty. By skillfully combining Lyapunov function, sign function, backstepping, and finite-time input-to-state stability approaches, an adaptive state feedback controller is designed to guarantee high-order nonlinear systems are globally finite-time stable.

scholarly journals Finite-time Stabilization Using Implicit Lyapunov Function Technique

2013 ◽  
Vol 46 (23) ◽  
pp. 140-145 ◽  
Author(s):  
A. Polyakov ◽  
D. Efimov ◽  
W. Perruquetti
Keyword(s):  
Lyapunov Function ◽  
Finite Time ◽  
Function Technique ◽  
Finite Time Stabilization

scholarly journals Algunos errores en el uso de funciones de Lyapunov para control de estructura variable

2021 ◽  
Vol 8 (16) ◽  
pp. 11-17
Author(s):  
David Ismael Vázquez-Dueñas ◽  
Jorge Luis Álvarez-Urias
Keyword(s):  
Lyapunov Function ◽  
Finite Time ◽  
Lyapunov Functions ◽  
Fixed Time ◽  
Second Order ◽  
Function Approach ◽  
Set Design ◽  
Lmi Approach ◽  
Finite Time Stabilization

Este trabajo discute errores encontrados en el uso de funciones de Lyapunov propuestas en resultados recientes de control de estructura variable: en diseños continuos con convergencia en tiempo finito (``Continuous finite-time stabilization of the translational and rotational double integrators'' por Bhat y Bernstein, 1998), basados en funciones implícitas de Lyapunov (``Finite-time and fixed-time stabilization: implicit Lyapunov function approach'' por Polyakov et al, 2015), y basados en funciones de Lyapunov discontinuas por partes (``An LMI approach for second-order sliding set design using piecewise Lyapunov functions'' Tapia et al, 2017).

scholarly journals Prescribed finite time stabilization of linear systems with state constraints

IEEE Access ◽  
2021 ◽  
pp. 1-1
Author(s):  
Tingting Yang ◽  
Yichao Ma ◽  
Pengfei Zhang ◽  
Jingyun Xu
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
State Constraints ◽  
Finite Time Stabilization
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