Title :
Robust stability of state-space models with structured uncertainties
Author :
Tesi, A. ; Vicono, A.
Author_Institution :
Dipartimento di Sistemi e Inf., Firenze Univ., Italy
fDate :
2/1/1990 12:00:00 AM
Abstract :
A method for robust eigenvalue location analysis of linear state-space models affected by structured real parametric perturbations is proposed. The approach, based on algebraic matrix properties, deals with state-space models in which system matrix entries are perturbed by polynomial functions of a set of uncertain physical parameters. A method converting the robust stability problem into nonsingularity analysis of a suitable matrix is proposed. The method requires a check of the positivity of a multinomial form over a hyperrectangular domain in parameter space. This problem, which can be reduced to finding the real solutions of a system of polynomial equations, simplifies considerably when cases with one or two uncertain parameters are considered. For these cases, necessary and sufficient conditions for stability are given in terms of the solution of suitable real eigenvalue problems
Keywords :
eigenvalues and eigenfunctions; matrix algebra; stability; state-space methods; algebraic matrix properties; nonsingularity analysis; robust eigenvalue location analysis; robust stability; state-space models; structured real parametric perturbations; structured uncertainties; Control systems; Eigenvalues and eigenfunctions; Equations; Matrices; Matrix converters; Polynomials; Robust stability; Stability analysis; Sufficient conditions; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on