Research Papers

Control Proxy Functions for Sequential Design and Control Optimization

[+] Author and Article Information
Diane L. Peters1

P. Y. Papalambros

A. G. Ulsoy

 University of Michigan, 2250 G. G. Brown Building, 2350 Hayward Street, Ann Arbor, MI 48109ulsoy@umich.edu


Corresponding author.

J. Mech. Des 133(9), 091007 (Sep 15, 2011) (11 pages) doi:10.1115/1.4004792 History: Received May 25, 2010; Revised June 17, 2011; Published September 15, 2011; Online September 15, 2011

Optimal system design of “smart” products requires optimization of both the artifact and its controller. When the artifact and the controller designs are independent, the system solution is straightforward through sequential optimization. When the designs are coupled, combined simultaneous optimization can produce system-optimal results, but presents significant computational and organizational complexity. This paper presents a method that produces results comparable with those found with a simultaneous solution strategy, but with the simplicity of the sequential strategy. The artifact objective function is augmented by a control proxy function (CPF), representing the artifact’s ease of control. The key to successful use of this method is the selection of an appropriate CPF. Four theorems that govern the choice and evaluation of a CPF are given. Each theorem is illustrated using a simple mathematical example. Specific CPFs are then presented for particular problem formulations, and the method is applied to the optimal design and control of a micro-electrical mechanical system actuator.

Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Control proxy function problem formulation

Grahic Jump Location
Figure 2

Gradients at Points A and B

Grahic Jump Location
Figure 11

CPF points for optimization of MEMS actuator

Grahic Jump Location
Figure 12

Displacement and voltage profile for sample MEMS actuator design

Grahic Jump Location
Figure 3

Comparison of angle ξ and distance ɛ

Grahic Jump Location
Figure 4

Pareto-optimal Point B and CPF Points A and C

Grahic Jump Location
Figure 5

Comparison of simultaneous and CPF solutions for appropriate and inappropriate monotonicity

Grahic Jump Location
Figure 6

Unconstrained minima of fc and χ

Grahic Jump Location
Figure 7

Comparison of simultaneous and CPF solutions for two choices of CPF

Grahic Jump Location
Figure 8

MEMS actuator configuration

Grahic Jump Location
Figure 9

Microhinge structure

Grahic Jump Location
Figure 10

Control architecture and system dynamics



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