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Distributed Parameter Dependent Modeling and Control of Flexible Structures

[+] Author Affiliations
Fen Wu, Suat E. Yildizoglu

North Carolina State University, Raleigh, NC

Paper No. IMECE2002-39321, pp. 127-135; 9 pages
doi:10.1115/IMECE2002-39321
From:
  • ASME 2002 International Mechanical Engineering Congress and Exposition
  • Dynamic Systems and Control
  • New Orleans, Louisiana, USA, November 17–22, 2002
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 0-7918-3629-0 | eISBN: 0-7918-1691-5, 0-7918-1692-3, 0-7918-1693-1
  • Copyright © 2002 by ASME

abstract

In this paper, distributed parameter-dependent modeling and control approaches are proposed for flexible structures. This modeling approach mainly relies on a central finite difference scheme to capture the distributed nature of the flexible system. The distributed model is motivated from distributed control design, which is advantageous for reduced control implementation cost and control system reliability. The displacements at each discretized node are assumed measurable in real-time for controller use. Based on the proposed distributed model, sufficient conditions for analysis and synthesis of a distributed output-feedback controller are presented using the induced L2 norm as the performance criterion. The controller synthesis condition is characterized in terms of linear matrix inequalities (LMIs), which are convex optimization problems and can be solved efficiently using available software. The distributed controller inherits the same structure as the plant, which results in a localized control architecture and a simple implementation. The simulation results of a distributed controller is provided.

Copyright © 2002 by ASME

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