Title :
Stability margin evaluation for uncertain linear systems
Author :
Gong, C. ; Thompson, S.
Author_Institution :
Dept. of Mech. & Manuf. Eng., Queen´´s Univ., Belfast, UK
fDate :
3/1/1994 12:00:00 AM
Abstract :
A sufficient stability condition for parameter variation in a perturbed, continuous time, multivariable linear system, represented by a state space model is presented. Starting with the existence of an algebraic Riccati equation, a stability bound is derived from the polar decomposition of the nominal system matrix. Unlike previous work, the results are not dependent on the solution of the Lyapunov equation and, consequently, not a function of an arbitrarily selected positive definite matrix. In addition, the bound would appear to be the tightest possible, in that violation of the presented inequality can be shown to lead to instability
Keywords :
linear systems; multivariable control systems; stability criteria; state-space methods; Lyapunov equation; algebraic Riccati equation; existence; nominal system matrix; parameter variation; perturbed continuous-time multivariable linear system; polar decomposition; positive definite matrix; stability bound; stability condition; stability margin evaluation; state space model; uncertain linear systems; Linear matrix inequalities; Linear systems; Matrix decomposition; Power system modeling; Riccati equations; Robustness; Stability; State-space methods; Symmetric matrices; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
