A Novel Eigenstructure Assignment for Linear Systems with Probabilistic Uncertainties

  • Seo, Y.B. (School of Mechanical Engineering and Research Institute of Mechanical Technology, Pusan National University) ;
  • Choi, J.W. (School of Mechanical Engineering and Research Institute of Mechanical Technology, Pusan National University)
  • Published : 2003.10.22

Abstract

In this paper, S(stochastic)-eigenvalue concept and its S-eigenvector for linear continuous-time systems with probabilistic uncertainties are 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 scheme is applied to the longitudinal dynamics of open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure.

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