Design of reduced-order robust controllers for smart structural systems

Pengxiang Liu, Vittal S. Rao

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations

Abstract

This paper presents a method of designing reduced-order robust controllers for smart structural systems. We consider two kinds of uncertainties in the structural systems, norm bounded unstructured uncertainty and the variations of structural parameters. The smart structure with lead zirconate titanate (PZT) sensors and actuators is represented by a high order analytical model. Model error due to the uncertainties in structural parameters is modeled by parametric uncertainty in natural frequencies and damping ratios. By generalizing balanced truncation method for uncertain system, the high order model with uncertainties is reduced to a low order model with preserved parametric uncertainty. Based on linear matrix inequalities (LMIs) and Popov criterion, a robust H controller is designed to suppress the low-frequency vibrations caused by external disturbances and to guarantee the stability and performance of the closed-loop system under uncertainties. The order of the controller is further reduced by a frequency weighted model reduction method using LMI. The procedure was experimentally tested on a smart structural test article.

Original languageEnglish
Pages (from-to)2657-2666
Number of pages10
JournalCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Volume4
StatePublished - 2002
Event43rd Structures, Structural Dynamics and Materials Conference - Denver, CO, United States
Duration: Apr 22 2002Apr 25 2002

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