Abstract
This article presents a method for contriving the global anti-windup compensator (AWC) gain for nonlinear systems by using the nomenclature of nonlinear parameter varying (NPV) theory. The sufficient conditions for the existence of static AWC for NPV system under actuator saturation while considering the exogenous inputs and actuator constraints guaranteeing the global asymptotic stability of the overall closed-loop system are formulated. Linear matrix inequality (LMI)-based conditions are deducted via Lyapunov theory, NPV theory, global sector condition, minimum and maximum bound on the saturation non-linearity, and parametric variations limits in order to synthesis the AWC which ensure global asymptotic stability of the overall closed-loop system. In order to show the effectiveness of of the suggested AWC methodology the simulation example of the nonlinear induction motor is provided.
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