Model reduction and robust control of smart structures with parametric uncertainties

P. Liu, V. S. Rao

Research output: Contribution to journalConference articlepeer-review


The actively controlled smart structures should have robust stability and robust performance when structural parameters vary in a reasonable range. In this paper, the parametric uncertainty is defined in a framework of quadratic inequality constraint. This representation of uncertainty can effectively reduce the conservatism. A generalized balanced truncation method for continuous uncertain system represented by linear fractional transformation is presented. The model reduction method can keep the uncertainty information of the full order system in the reduced order model for robust controller design. Linear matrix inequality (lmi) conditions are given for designing a robust output feedback controller to assign the poles of closed-loop uncertain system in a constrained conic sector subregion under the input limits and unmodeled dynamics. The proposed method is demonstrated using an experimental smart structure system.

Original languageEnglish
Pages (from-to)416-427
Number of pages12
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2001
EventSmart Structures and Materials 2001-Modeling, Signal Processing, and Control in Smart Structures- - Newport Beach, CA, United States
Duration: Mar 5 2001Mar 8 2001


  • Conic sector subregion
  • Generalized balanced truncation
  • Input limits
  • Linear matrix inequality
  • Quadratic inequality constraint
  • Robust pole placement


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