Adaptive nonlinear control law applied to a three-phase NPC boost rectifier operating under severe conditions

2003 ◽  
Author(s):  
L. Yacoubi ◽  
K. Al-Haddad ◽  
F. Fnaiech ◽  
L.A. Dessaint
Keyword(s):  
Nonlinear Control ◽  
Control Law ◽  
Adaptive Nonlinear Control ◽  
Three Phase ◽  
Boost Rectifier ◽  
Nonlinear Control Law

scholarly journals Robust Synchronization of Delayed Chaotic FitzHugh-Nagumo Neurons under External Electrical Stimulation

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Muhammad Rehan ◽  
Keum-Shik Hong
Keyword(s):  
Electrical Stimulation ◽  
Nonlinear Control ◽  
Control Law ◽  
Input Control ◽  
Control Schemes ◽  
Multiple Input ◽  
Cognitive Diseases ◽  
Single Input ◽  
Error Dynamics ◽  
Nonlinear Control Law

Synchronization of chaotic neurons under external electrical stimulation (EES) is studied in order to understand information processing in the brain and to improve the methodologies employed in the treatment of cognitive diseases. This paper investigates the dynamics of uncertain coupled chaotic delayed FitzHugh-Nagumo (FHN) neurons under EES for incorporated parametric variations. A global nonlinear control law for synchronization of delayed neurons with known parameters is developed. Based on local and global Lipschitz conditions, knowledge of the bounds on the neuronal states, the Lyapunov-Krasovskii functional, and theL2gain reduction, a less conservative local robust nonlinear control law is formulated to address the problem of robust asymptotic synchronization of delayed FHN neurons under parametric uncertainties. The proposed local control law guarantees both robust stability and robust performance and provides theL2bound for uncertainty rejection in the synchronization error dynamics. Separate conditions for single-input and multiple-input control schemes for synchronization of a wide class of FHN systems are provided. The results of the proposed techniques are verified through numerical simulations.

Linear and Nonlinear Control Techniques for a Three-Phase Three-Level NPC Boost Rectifier

2006 ◽  
Vol 53 (6) ◽  
pp. 1908-1918 ◽  
Author(s):  
Loubna Yacoubi ◽  
Kamal Al-Haddad ◽  
Louis-A. Dessaint ◽  
Farhat Fnaiech
Keyword(s):  
Nonlinear Control ◽  
Control Techniques ◽  
Three Phase ◽  
Linear And Nonlinear ◽  
Boost Rectifier

Analysis of a Nonlinear Control Law with Cubic Nonlinearity

2021 ◽  
Author(s):  
Melnikov Vitaly ◽  
Melnikov Gennady ◽  
Dudarenko Natalia
Keyword(s):  
Nonlinear Control ◽  
Control Law ◽  
Cubic Nonlinearity ◽  
Nonlinear Control Law
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