Smooth feedback, global stabilization, and disturbance attenuation of nonlinear systems with uncontrollable linearization (Q2719159)

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scientific article; zbMATH DE number 1608823
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Smooth feedback, global stabilization, and disturbance attenuation of nonlinear systems with uncontrollable linearization
scientific article; zbMATH DE number 1608823

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    21 June 2001
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    nonlinear systems
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    smooth state feedback
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    global asymptotic stabilizability
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    disturbance attenuation
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    global stabilization
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    chain of power integrators
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    Smooth feedback, global stabilization, and disturbance attenuation of nonlinear systems with uncontrollable linearization (English)
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    The authors consider a class of highly nonlinear systems that are comprised of a lower dimensional zero-dynamics subsystem and a chain of power integrators perturbed by a nontriangular vector field. They develop a systematic design procedure for the explicit construction of smooth feedback controllers which globally stabilize the system in the absence of additive disturbances and attenuate the effect of the disturbance of the output.
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