Title :
Guaranteed characterization of stability domains via set inversion
Author :
Walter, Eric ; Jaulin, Luc
Author_Institution :
Lab. des Signaux et Syst., Ecole Superieure d´´Electr., Gif-sur-Yvette, France
fDate :
4/1/1994 12:00:00 AM
Abstract :
A new method is presented for characterizing the set of all values of the parameters of a linear time-invariant model that are associated with a stable behavior. A formal Routh table is used to formulate the problem as one of set inversion, which is solved approximately but globally with tools borrowed from interval analysis. The method readily extends to the design of controllers stabilizing all models in a given class
Keywords :
linear systems; polynomials; set theory; formal Routh table; guaranteed characterization; interval analysis; linear time-invariant model; set inversion; stability domains; Asymptotic stability; Negative feedback; Open loop systems; Polynomials; Stability analysis; Stability criteria; Sufficient conditions; Three-term control; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
