Optimal Linear Controller Design for Periodic Inputs

Front Cover
Springer Science & Business Media, Nov 3, 2009 - Technology & Engineering - 180 pages

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.

 

Contents

Introduction
1
Design Methodology for Controllers Facing Periodic Inputs
5
Application to Feedforward Control
22
Application to Estimated Disturbance Feedback Control
43
Application to Repetitive Control
61
Application to Feedback Control
83
Experimental Validation on an Active Air Bearing Setup
119
Conclusions
141
References
167
Index
177
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