Model Reduction and Robust Control of Smart Structures with Parametric Uncertainties
Abstract
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.
Recommended Citation
P. Liu and V. S. Rao, "Model Reduction and Robust Control of Smart Structures with Parametric Uncertainties," Proceedings of SPIE - The International Society for Optical Engineering, vol. 4326, pp. 416 - 427, Society of Photo-optical Instrumentation Engineers, Jan 2001.
The definitive version is available at https://doi.org/10.1117/12.436495
Department(s)
Electrical and Computer Engineering
Keywords and Phrases
Conic sector subregion; Generalized balanced truncation; Input limits; Linear matrix inequality; Quadratic inequality constraint; Robust pole placement
International Standard Serial Number (ISSN)
0277-786X
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2024 Society of Photo-optical Instrumentation Engineers, All rights reserved.
Publication Date
01 Jan 2001
