CONTROL DESIGN VIA TAM AND H-INFINITY APPROACHES - A FLEXIBLE BEAM CASE-STUDY
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The target approximation method (TAM) and H control theory are used to design robust vibration control of a flexible beam. The beam dynamics are approximated by a few lower order vibration modes of the beam. The remaining modes are treated as a modeling error. In the closed-loop system the uncontrolled and controlled modes interact through the control and observation spillovers, which cause a degraded system performance. The TAM solves the problem in the time domain by designing gains and actuator and sensor locations such that the closed-loop system imitates a target which has no spillovers. The H approach tackles the problem in the frequency domain by designing a controller which attenuates a class of disturbing signals, including the disturbance generated by the uncontrolled modes. The TAM always gives a lower order controller than the H approach. The H approach might not be a good solution for the spillover effect minimization problem when the controller can only have a low-order estimator. The H gains are much greater than the TAM gains. This implies that the H controller consumes more power than the TAM controller.
PROCEEDINGS OF THE 29TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6
author list (cited authors)
TANG, T. S., & HUANG, G. M.