Global Adaptive Finite-Time Stabilization of Uncertain Time-Varying $p$-Normal Nonlinear Systems Without Homogeneous Growth Nonlinearity Restriction

2019 ◽  
Vol 64 (11) ◽  
pp. 4637-4644 ◽  
Author(s):  
Ting Li ◽  
Jun Yang ◽  
Changyun Wen ◽  
Chuanlin Zhang
Keyword(s):  
Nonlinear Systems ◽  
Finite Time ◽  
Time Varying ◽  
Finite Time Stabilization ◽  
Uncertain Time

Finite-time control of uncertain time-varying systems in p-normal form

2020 ◽  
Author(s):  
Kanya Rattanamongkhonkun ◽  
Radom Pongvuthithum ◽  
Chulin Likasiri
Keyword(s):  
Normal Form ◽  
Finite Time ◽  
Control Law ◽  
Time Varying ◽  
Time Control ◽  
Special Cases ◽  
Time Varying Systems ◽  
A Chain ◽  
Uncertain Time ◽  
Power Integrator

Abstract This paper addresses a finite-time regulation problem for time-varying nonlinear systems in p-normal form. This class of time-varying systems includes a well-known lower-triangular system and a chain of power integrator systems as special cases. No growth condition on time-varying uncertainties is imposed. The control law can guarantee that all closed-loop trajectories are bounded and well defined. Furthermore, all states converge to zero in finite time.

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