LMI-based sliding mode control for brushless DC motor drives
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EDITORIAL STATEMENT:
This paper deals with the robust sliding mode control of a brushless d.c. motor
drive. A state-space model of the system is developed. The sliding mode controller is separated
into linear and non-linear components. The novelty of the approach is in the rationale and
method used to synthesize the linear control component which involves a linear matrix
inequality (LMI) optimization. System uncertainty due to changes in load inertia is represented
as norm bounded. A robust design approach is developed, yielding a robust controller against
system uncertainties. A reaching condition to bring the system states to a sliding surface is
developed, and the control burden lies heavily on the linear part to alleviate the chattering
problem of conventional sliding mode control. The effect of the non-linear component on
system performance is analysed. Testing the proposed controller verifies its effectiveness
compared with the conventional one.
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