Robust Multiobjective Controllers for Smart Structures

Abstract

Flexible smart structures are large mechanical structures with applications in which specific performance characteristics are desired in the presence of parameter variations and disturbances. These structures tend to have severe controller effort restrictions and tightly spaced lightly damped modes. When designing controllers for smart structures, H2 controllers are well suited for control effort restrictions and closed loop performance specifications while H∝ controllers are better suited for modeling uncertainties. This paper examines the application of H2/H∞ controller design methodologies to smart structures. A unique feature of mechanical distributed systems is that state space systems can be determined from finite element models (FEM) in which the states have physical significance. For certain systems, these states can be directly measured by using a distributed PVDF film appropriately shaped and applied to the structure. This full state feedback system allows for the implementation of H2/H∞ full state feedback algorithms. The development of a control system implementing this type of algorithm is described for a simple cantilever beam. In addition, a H2/H∝ algorithm developed by Bernstein and Haddad is investigated for the cantilever beam. This method does not require state measurement, but the controller design algorithm is slightly more complicated. This algorithm requires the solution of one algebraic Riccati equation and two coupled algebraic Riccati equations which are solved iteratively.

Department(s)

Electrical and Computer Engineering

International Standard Serial Number (ISSN)

0731-6844

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2024 SAGE Publications; American Society for Composites, All rights reserved.

Publication Date

01 Jan 1996

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