Abstract
This paper presents two continuous finite-time convergent control algorithms driving an output (the highest relative degree state) of an n-dimensional integrator to zero for a finite time using a scalar input in the presence of both matched and unmatched unbounded disturbances. No knowledge of all system states is required: only the output should be available for the control design. No knowledge or reconstruction of individual disturbances is assumed as well. The paper concludes with a case study of controlling a DC motor, whose 3D mathematical model is perturbed by matched and unmatched disturbances.
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