Frequency domain analysis and robust control design for an ideal flexible beam

Kathryn Lenz, Hitay Özbay, Allen Tannenbaum, Janos Turi, Blaise Morton

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

Abstract

We study the problem of designing a feedback controller for a highly flexible Euler-Bernoulli beam using a distributed-parameter H-method. Employing skew Toeplitz theory, we derive the H-optimal controller for a weighted mixed sensitivity design for the beam. Based on the structure of the optimal controller we obtain suboptimal, finite-dimensional, linear, time-invariant controllers. With this approach we are able to include the added difficulties of a pure time delay and a noncollocated actuator/sensor pair directly into the design process.

Original languageEnglish (US)
Pages (from-to)947-961
Number of pages15
JournalAutomatica
Volume27
Issue number6
DOIs
StatePublished - Nov 1991

Bibliographical note

Funding Information:
Acknowledgements--This work was supported by the National Science Foundation under grants nos ECS-8908592, ECS-8704047, DMS-8811084, DMS-8907019, and MSS-8707700; by the Air Force Office of Scientific Research under grant no. AFOSR-90-0024; and by the Army Research Office under grant no. DAAL03-91-G-0019.

Keywords

  • Control applications
  • control systems synthesis
  • distributed parameter systems
  • frequency domain methods
  • linear optimal control
  • robustness
  • sensitivity analysis

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