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A Generalized Robust Control Framework Utilizing Dimensional Analysis

[+] Author Affiliations
Yan Li, Andrew Alleyne

University of Illinois at Urbana-Champaign

Paper No. IMECE2005-82191, pp. 571-581; 11 pages
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Dynamic Systems and Control, Parts A and B
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Dynamic Systems and Control Division
  • ISBN: 0-7918-4216-9 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME


Most engineered systems designed under heavy external constraints share similar dynamics. Using a dimensionless model as system representation, a dimensionless robust controller can be designed and implemented for a class of dynamically similar systems that are different in size. Dimensionless transformations of time scale, inputs and outputs determine a nominal plant model and plant-to-plant uncertainties in a dimensionless form. Using parameter-dependent normalization, a normalized dimensionless model can be derived that has low level of plant-to-plant uncertainties. The benefit of this dimensional analysis is demonstrated by the analysis of a passenger vehicle model for yaw rate control with a database consisting of 36 sets of vehicle data.

Copyright © 2005 by ASME



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