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Eigenstructure Assignment for Linear Systems with Probabilistic Uncertainties  

Seo, Young-Bong (School of Mechanical Engineering and RIMT, Pusan National University)
Park, Jae-Weon (School of Mechanical Engineering and RIMT, Pusan National University)
Lee, Dal-Ho (Department of Electronics Engineering, Kyungwon University)
Publication Information
Journal of Mechanical Science and Technology / v.18, no.6, 2004 , pp. 933-945 More about this Journal
Abstract
In this paper, S (stochastic)-eigenvalue concept and its S-eigenvector for linear continuous-time systems with probabilistic uncertainties is proposed. The proposed concept is concerned with the perturbation of eigenvalues due to the probabilistic variable parameters in the dynamic model of a plant. S-eigenstructure assignment scheme via the Sylvester equation approach based on the S-eigenvalue concept is also proposed. The proposed design schemes are illustrated by numerical examples, and applied to the longitudinal dynamics of open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure. These results explicitly characterize how S-eigenvalues in the complex plane may impose stability on S-eigenstructure assignment.
Keywords
Probabilistic Parameter Variation; Gaussian Distribution; S-Eigenvalue; S-Eigenvector; S-Stability; S-Eigenstructure Assignment;
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Times Cited By KSCI : 1  (Citation Analysis)
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