On an output feedback finite-time stabilization problem

2001 ◽  
Vol 46 (2) ◽  
pp. 305-309 ◽  
Author(s):  
Yigwruang Hong ◽  
Jie Huang ◽  
Yangsheng Xu
Keyword(s):  
Output Feedback ◽  
Finite Time ◽  
Stabilization Problem ◽  
Finite Time Stabilization

scholarly journals Finite-Time Simultaneous Stabilization of a Set of Nonlinear Singular Systems

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Liying Sun ◽  
Meiqing Li
Keyword(s):  
Output Feedback ◽  
Finite Time ◽  
Singular Systems ◽  
Sufficient Condition ◽  
Stabilization Problem ◽  
Simultaneous Stabilization ◽  
Nonlinear Singular Systems ◽  
Output Feedback Controller ◽  
Augmented System ◽  
Finite Time Stabilization

This study addresses the problems of finite-time simultaneous stabilization for two nonlinear singular systems and more than two nonlinear singular systems. First, we design a suitable output feedback controller and combine the two nonlinear singular systems to generate an augmented system by using an augmented technique. Based on a sufficient condition of the augmented system impulse-free, an important result, that is, the augmented system is finite-time stabilization is presented. Then, the finite-time stabilization problem of more than two singular systems is investigated by dividing the N systems into two sets. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed finite-time stabilization controller for two nonlinear singular systems.

scholarly journals Global Finite-Time Stabilization Problem of Affine Nonlinear Systems with Unknown Functions

2021 ◽  
Author(s):  
Fujin Jia ◽  
Junwei Lu ◽  
Yong-Min Li ◽  
Fangyuan Li
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Control Algorithm ◽  
Lyapunov Analysis ◽  
Stabilization Problem ◽  
Analysis Method ◽  
Control Approach ◽  
Affine Nonlinear Systems ◽  
Simulation Results ◽  
Finite Time Stabilization

In this paper, the global finite-time stabilization (FTS) of nonlinear systems with unknown functions (UFs) is studied. Firstly, in order to deal with UFs, a Lemma is proposed to avoid the Assumptions of UFs. Secondly, based on this Lemma, the control algorithm designed by using backstepping has no partial derivative of virtual controllers, so it avoids the “differential explosion” problem of backstepping. Thirdly, by using Lyapunov analysis method, backstepping and FTS method, a global FTS control algorithm of nonlinear systems with UFs is proposed. Finally, the feasibility of developed control approach is illustrated by the simulation results of a manipulator.

Finite-time stabilization via dynamic output feedback

Automatica ◽  
2006 ◽  
Vol 42 (2) ◽  
pp. 337-342 ◽  
Author(s):  
Francesco Amato ◽  
Marco Ariola ◽  
Carlo Cosentino
Keyword(s):  
Output Feedback ◽  
Finite Time ◽  
Dynamic Output Feedback ◽  
Dynamic Output ◽  
Finite Time Stabilization
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