Control design via TAM and H approaches: A flexible beam case study

T. S. Tang, Garng Morton Huang

Research output: Contribution to journalConference article

Abstract

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.

Original languageEnglish
Pages (from-to)2060-2061
Number of pages2
JournalProceedings of the IEEE Conference on Decision and Control
Volume4
Publication statusPublished - 1 Dec 1990
Externally publishedYes

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ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modelling and Simulation
  • Control and Optimization

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