Real-time adaptive control of active magnetic bearings using linear parameter varying models

2003 ◽  
Author(s):  
N.S. Gibson ◽  
G.D. Buckner
Keyword(s):  
Adaptive Control ◽  
Real Time ◽  
Magnetic Bearings ◽  
Active Magnetic Bearings ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Parameter Varying

scholarly journals Real-Time Predictive Control for SI Engines Using Linear Parameter-Varying Models

2015 ◽  
Vol 48 (23) ◽  
pp. 94-101 ◽  
Author(s):  
Pawel Majecki ◽  
Gerrit M. van der Molen ◽  
Michael J. Grimble ◽  
Ibrahim Haskara ◽  
Yiran Hu ◽  
...  
Keyword(s):  
Real Time ◽  
Predictive Control ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Si Engines ◽  
Parameter Varying

scholarly journals Real Time Stabilization of Lipschitz Nonlinear Systems with Nonlinear Output

2020 ◽  
Vol 53 (4) ◽  
pp. 493-498
Author(s):  
Assem Thabet ◽  
Ghazi Bel Haj Frej ◽  
Noussaiba Gasmi ◽  
Brahim Metoui
Keyword(s):  
Nonlinear Systems ◽  
Real Time ◽  
Nonlinear Function ◽  
Mean Value ◽  
Mean Value Theorem ◽  
Linear Matrix ◽  
Linear Parameter ◽  
Linear Parameter Varying ◽  
Lipschitz Nonlinear Systems ◽  
Parameter Varying

This brief discusses a simple stabilization strategy for a class of Lipschitz nonlinear systems based on the transformation of nonlinear function to Linear Parameter Varying system. Due to the introduction of the Differential Mean Value Theorem (DMVT), the dynamic and output nonlinear functions are transformed into Linear Parameter Varying (LPV) functions. This allows to increase the number of decision variables in the constraint to be resolved and, then, get less conservative and more general Linear Matrix Inequality (LMI) conditions. The established sufficient stability conditions are in the form of LMI with the introduction of a cost control to ensure closed-loop stability. Finally, Real Time Implementation (RTI) using a DSP device (ARDUINO UNO R3) to a typical robot is given to illustrate the performances of the proposed method with a comparison to some existing results.

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