Abstract

This paper presents an extension of two modified update laws for variable structure and compound adaptive control. These modified laws are applied to plant model of relative degree greater than one. An augmented error and auxiliary errors are requested as identifier errors. For variable structure and compound adaptive control a k-sigmoid function is used in parameter update laws. The closed loops have well robustness qualities to bounded output disturbances and unmodeled dynamics. No, any prior information is necessary about the norm of the controller parameters or the upper bound of the disturbances. Lyapunov functions are used to proof global stability of the adaptive loops. Simulation results, for an unstable plant model of two relative degree, are presented.

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