Title :
Reduction Principles and the Stabilization of Closed Sets for Passive Systems
Author :
El-Hawwary, Mohamed I. ; Maggiore, Manfredi
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Toronto, Toronto, ON, Canada
fDate :
4/1/2010 12:00:00 AM
Abstract :
In this technical note, we explore the stabilization of closed invariant sets for passive systems, and present conditions under which a passivity-based feedback asymptotically stabilizes the goal set. Our results rely on novel reduction principles allowing one to extrapolate the properties of stability, attractivity, and asymptotic stability of a dynamical system from analogous properties of the system on an invariant subset of the state space.
Keywords :
asymptotic stability; nonlinear control systems; state-space methods; asymptotic stability; attractivity; closed invariant sets; closed sets stabilization; dynamical system; passive systems; passivity based feedback; reduction principles; state space methods; Asymptotic stability; Control systems; Control theory; Feedback; Heart; Instruments; Level set; Nonlinear systems; Open loop systems; State-space methods; Sufficient conditions; Detectability; passive systems; passivity-based control; reduction principles; set stabilization;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2010.2041684
