Research Papers

Computationally Efficient Combined Plant Design and Controller Optimization Using a Coupling Measure

[+] Author and Article Information
Rakesh Patil, Zoran Filipi

Hosam Fathy1

Department of Mechanical Engineering,  University of Michigan, Ann Arbor, MI 48109hfathy@umich.edu


Corresponding author.

J. Mech. Des 134(7), 071008 (Jun 20, 2012) (8 pages) doi:10.1115/1.4006828 History: Received July 25, 2011; Revised April 19, 2012; Published June 20, 2012; Online June 20, 2012

This paper presents a novel approach to the optimization of a dynamic systems design and control. Traditionally, these problems have been solved either sequentially or in a combined manner. We propose a novel approach that uses a previously derived coupling measure to quantify the impact of plant design variables on optimal control cost. This proposed approach has two key advantages. First, because the coupling term quantifies the gradient of the control optimization objective with respect to plant design variables, the approach ensures combined plant/control optimality. Second, because the coupling term equals the integral of optimal control co-states multiplied by static gradient terms that can be computed a priori, the proposed approach is computationally attractive. We illustrate this approach using an example cantilever beam structural design and vibration control problem. The results show significant computational cost improvements compared to traditional combined plant/control optimization. This reduction in computational cost becomes more pronounced as the number of plant design variables increases.

Copyright © 2012 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 5

Optimal beam—width variation with beam length

Grahic Jump Location
Figure 6

Lightest beam—width variation with beam length

Grahic Jump Location
Figure 4

Comparison of drop in objective with functions calls

Grahic Jump Location
Figure 3

Coupling term as calculated by Eqs. 9,10

Grahic Jump Location
Figure 2

Diagram of the beam, an example node, the initial conditions, and boundary conditions

Grahic Jump Location
Figure 1

Optimization framework flowchart




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In