Distributed Parameter-Dependent Modeling and Control of Flexible Structures

[+] Author and Article Information
Fen Wu1

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 27695


Corresponding author. Phone: (919) 515-5268, Fax: (919) 515-7968. E-mail: fwu@eos.ncsu.edu

J. Dyn. Sys., Meas., Control 127(2), 230-239 (Jun 21, 2004) (10 pages) doi:10.1115/1.1898240 History: Received September 23, 2003; Revised June 21, 2004

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 L2 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.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

Distributed control architecture

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Figure 2

Non-uniform flexible beam

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Figure 3

Block diagram representation of Eq. 22

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Figure 4

Non-uniform beam mode shapes

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Figure 5

Non-uniform beam deflection of the free end

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Figure 6

Open-loop system with weighting functions

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Figure 7

Controlled response of the flexible beam at free end

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Figure 8

Disturbance rejection of distributed control



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