In this paper, distributed parameter-dependent modeling and control approaches are proposed for flexible structures. The distributed model is motivated from distributed control design, which is advantageous in reducing control implementation cost and increasing control system reliability. This modeling approach mainly relies on a central finite difference scheme to capture the distributed nature of the flexible system. Based on the proposed distributed model, a sufficient synthesis condition for the design of a distributed output-feedback controller is presented using induced norm as the performance criterion. The controller synthesis condition is formulated as linear matrix inequalities, which are convex optimization problems and can be solved efficiently using interior-point algorithms. The distributed controller inherits the same structure as the plant, which results in a localized control architecture and a simple implementation scheme. These modeling and control approaches are demonstrated on a non-uniform cantilever beam problem through simulation studies.
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June 2005
Technical Papers
Distributed Parameter-Dependent Modeling and Control of Flexible Structures
Fen Wu,
Fen Wu
Department of Mechanical and Aerospace Engineering,
North Carolina State University
, Raleigh, NC 27695
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Suat E. Yildizoglu
Suat E. Yildizoglu
Department of Mechanical and Aerospace Engineering,
North Carolina State University
, Raleigh, NC 27695
Search for other works by this author on:
Fen Wu
Department of Mechanical and Aerospace Engineering,
North Carolina State University
, Raleigh, NC 27695
Suat E. Yildizoglu
Department of Mechanical and Aerospace Engineering,
North Carolina State University
, Raleigh, NC 27695J. Dyn. Sys., Meas., Control. Jun 2005, 127(2): 230-239 (10 pages)
Published Online: June 21, 2004
Article history
Received:
September 23, 2003
Revised:
June 21, 2004
Citation
Wu, F., and Yildizoglu, S. E. (June 21, 2004). "Distributed Parameter-Dependent Modeling and Control of Flexible Structures." ASME. J. Dyn. Sys., Meas., Control. June 2005; 127(2): 230–239. https://doi.org/10.1115/1.1898240
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