Robust finite-time stabilization of linear systems depending on parametric uncertainties

2002 ◽  
Author(s):  
F. Amato ◽  
M. Ariola ◽  
P. Dorato
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
Parametric Uncertainties ◽  
Finite Time Stabilization

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

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.

Input–output finite-time stabilization of linear systems with finite-time boundedness

2014 ◽  
Vol 53 (4) ◽  
pp. 977-982 ◽  
Author(s):  
Yang Guo ◽  
Yu Yao ◽  
Shicheng Wang ◽  
Kemao Ma ◽  
Kai Liu ◽  
...  
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
Input Output ◽  
Finite Time Stabilization ◽  
Finite Time Boundedness

scholarly journals Finite-time stabilization of switched linear systems and its application in terminal guidance

2016 ◽  
Vol 13 (6) ◽  
pp. 172988141667980
Author(s):  
Yang Guo ◽  
Xiaoxiang Hu ◽  
Biao Deng ◽  
Shuai Zhang ◽  
Yu Jiang
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
State Feedback ◽  
State Constraints ◽  
Initial Conditions ◽  
Sufficient Conditions ◽  
Switched Linear Systems ◽  
Finite Time Stabilization ◽  
Finite Time Boundedness ◽  
Terminal Guidance

This article presents finite-time stabilization methods of switched linear systems with disturbances. After extending finite-time stabilization and finite-time boundedness definitions to switched linear systems, sufficient conditions guaranteeing system finite-time boundedness are proposed, by which the state feedback controller method is obtained. For a class of switched terminal guidance systems, the methods are illustrated by application to guidance design to solve the finite-time stabilization problem considering nonzero initial conditions and state constraints.

scholarly journals Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Tianjian Yu ◽  
Yanke Zhong ◽  
Tefang Chen ◽  
Chunyang Chen
Keyword(s):  
Linear System ◽  
Linear Systems ◽  
Finite Time ◽  
State Feedback ◽  
Positive System ◽  
Time Varying ◽  
Polytopic Uncertainties ◽  
Finite Time Stabilization ◽  
Finite Time Boundedness ◽  
Definition Of

This paper is concerned with finite-time stabilization (FTS) analysis for a class of uncertain switched positive linear systems with time-varying delays. First, a new definition of finite-time boundedness (FTB) is introduced for switched positive system. This definition can simplify FTS analysis. Taking interval and polytopic uncertainties into account, a robust state feedback controller is built such that the switched positive linear system is finite-time bounded. Finally, an example is employed to illustrate the validities of obtained results.

Input–output finite time stabilization of linear systems

Automatica ◽  
2010 ◽  
Vol 46 (9) ◽  
pp. 1558-1562 ◽  
Author(s):  
F. Amato ◽  
R. Ambrosino ◽  
C. Cosentino ◽  
G. De Tommasi
Keyword(s):  
Linear Systems ◽  
Finite Time ◽  
Input Output ◽  
Finite Time Stabilization
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