Simplifying robust control designs of parametric uncertain systems using dimensional transformations

Haftay Hailu, Sean Brennan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Robust control techniques have become more popular in the last decade because of their ability to construct a single controller suitable for a family of plants that are represented as a nominal plant with an uncertainty bounds. A typical challenge with robust control design is that, as the size of the uncertainty block gets bigger, the complexity of the control synthesis and resulting controller exponentially increases. Using a dimensional transformation method, this work shows that some robust control problems can be recast into an equivalent representation with a much smaller size of uncertainty block. This reduction potentially reduces the conservativeness and computational complexity of both H/μ - synthesis methods. This method is demonstrated using the 1990 ACC benchmark problem.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME Dynamic Systems and Control Division 2005
Pages77-83
Number of pages7
Edition1 PART A
DOIs
StatePublished - Dec 1 2005
Event2005 ASME International Mechanical Engineering Congress and Exposition, IMECE 2005 - Orlando, FL, United States
Duration: Nov 5 2005Nov 11 2005

Publication series

NameAmerican Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC
Number1 PART A
Volume74 DSC

Other

Other2005 ASME International Mechanical Engineering Congress and Exposition, IMECE 2005
CountryUnited States
CityOrlando, FL
Period11/5/0511/11/05

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Software

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  • Cite this

    Hailu, H., & Brennan, S. (2005). Simplifying robust control designs of parametric uncertain systems using dimensional transformations. In Proceedings of the ASME Dynamic Systems and Control Division 2005 (1 PART A ed., pp. 77-83). (American Society of Mechanical Engineers, Dynamic Systems and Control Division (Publication) DSC; Vol. 74 DSC, No. 1 PART A). https://doi.org/10.1115/IMECE2005-81885