Adaptive control for uncertain nonlinear time-delay systems in a lower-triangular form

2018 ◽  
Vol 355 (9) ◽  
pp. 3911-3925 ◽  
Author(s):  
Xianglei Jia ◽  
Shengyuan Xu ◽  
Junwei Lu ◽  
Yongmin Li ◽  
Yuming Chu ◽  
...  
Keyword(s):  
Adaptive Control ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Triangular Form ◽  
Lower Triangular

Observer-Based Control of Nonlinear Time-Delay Systems in Lower-Triangular Form

2009 ◽  
Author(s):  
Salim Ibrir
Keyword(s):  
Time Delay ◽  
Small Time ◽  
Nonlinear Observer ◽  
Delay Systems ◽  
Linear Feedback ◽  
Time Delay Systems ◽  
Triangular Form ◽  
Small Time Delay ◽  
System Nonlinearity ◽  
Delay Dependent

Time-delay systems is a special class of dynamical systems that are frequently present in many fields of engineering. It has been shown in the literature that the existence of a stabilizing observer-based controller is related to delay-dependent conditions that are generally satisfied for a small time delay. Motivating works towards reducing the conservatism of the results are among the on-going research topics especially when partial-state measurements are imposed. This paper investigates the problem of observer-based stabilization of a class of time-delay nonlinear systems written in triangular form. First, we show that a delay nonlinear observer is globally convergent under the global Lipschitz condition of the system nonlinearity. Then, it is shown that a parameterized linear feedback that uses the observer states can stabilize the system whatever the size of the delay. Illustrative example is provided to approve the theoretical results.

Adaptive control scheme for uncertain time-delay systems

Automatica ◽  
2012 ◽  
Vol 48 (8) ◽  
pp. 1536-1552 ◽  
Author(s):  
Delphine Bresch-Pietri ◽  
Jonathan Chauvin ◽  
Nicolas Petit
Keyword(s):  
Adaptive Control ◽  
Time Delay ◽  
Delay Systems ◽  
Time Delay Systems ◽  
Control Scheme ◽  
Uncertain Time ◽  
Adaptive Control Scheme
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