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-  2016 

Adaptive micro-extended-analog-computer array with a linear Lukasiewicz function
Adaptive micro-extended-analog-computer array with a linear Lukasiewicz function

DOI: 10.15918/j.jbit1004-0579.201625.0409

Keywords: micro-extended-analog-computer Lipschitz function Lyapunov functional global asymptotic stability adaptive micro-extended-analog-computer controller
micro-extended-analog-computer Lipschitz function Lyapunov functional global asymptotic stability adaptive micro-extended-analog-computer controller

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Abstract:

A micro-extended-analog-computer (uEAC) is developed on the basis of Rubel's extended analog computer(EAC) model. Through the uEAC mathematical model, the resistance properties of the conductive sheet, several feedback uEAC models,and a more flexible uEAC cell structure with a multi-level hierarchy are discussed. Futhermore,for the dynamic uEAC array with a linear Lukasiewicz function, a nonlinear differential equation description is presented, and then a sufficient global asymptotic stability condition is derived by utilizing a Lyapunov function and a Lipchitz function. Finally, comparative simulations for a cam servo mechanism system are conducted to verify the capability of the uEAC array as an adaptive controller.
A micro-extended-analog-computer (uEAC) is developed on the basis of Rubel's extended analog computer(EAC) model. Through the uEAC mathematical model, the resistance properties of the conductive sheet, several feedback uEAC models,and a more flexible uEAC cell structure with a multi-level hierarchy are discussed. Futhermore,for the dynamic uEAC array with a linear Lukasiewicz function, a nonlinear differential equation description is presented, and then a sufficient global asymptotic stability condition is derived by utilizing a Lyapunov function and a Lipchitz function. Finally, comparative simulations for a cam servo mechanism system are conducted to verify the capability of the uEAC array as an adaptive controller.

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