Optimal Linear Controller Design for Periodic Inputs

Periodic reference and disturbance signals are widespread in engineering practice, as every rotating machine and repeated process involves periodicity. Exploiting the periodic input characteristics in the controller design is indispensable to meet tight performance demands in spite of measurement noise, model inaccuracies...

Optimal Linear Controller Design for Periodic Inputs proposes a general design methodology for linear controllers facing periodic inputs which applies to all feedforward control, estimated disturbance feedback control, repetitive control and feedback control. The design methodology proposed is able to reproduce and outperform the major current design approaches, where this superior performance stems from the following properties:

• uncertainty on the input period is explicitly accounted for;

• periodic performance being traded-off against conflicting design objectives; and

• controller design being translated into a convex optimization problem, guaranteeing the efficient computation of its global optimum.

The potential of the design methodology is illustrated by both numerical and experimental results.