21 August 2001 Model reduction and robust control of smart structures with parametric uncertainties
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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.
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Pengxiang Liu, Pengxiang Liu, Vittal S. Rao, Vittal S. Rao, } "Model reduction and robust control of smart structures with parametric uncertainties", Proc. SPIE 4326, Smart Structures and Materials 2001: Modeling, Signal Processing, and Control in Smart Structures, (21 August 2001); doi: 10.1117/12.436495; https://doi.org/10.1117/12.436495
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