Robust implementation of a variable structure control scheme

Abstract
The simplex method of designing sliding motion in variable structure systems is analyzed. It is shown that a linear state observer can be used to recover asymptotically the properties of the system designed assuming the state was available for feedback. Since the presence of disturbances can lead to poor performance of the closed-loop system, a method of attenuating the effect of these disturbances, in the H/sub infinity /-norm sense, is then considered for plants that are known exactly and for plants with structured uncertainty. Two examples are presented to illustrate the results: disturbance rejection, and robust stabilization and disturbance rejection.

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