(1) School of Mechanical Engineering and RIMT, Pusan National University, 609-735 Pusan, Korea;(2) Department of Electronics Engineering, Kyungwon University, 461-701 Kyungwon, Korea
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.