Title :
Stable Interval Observers in BBC for Linear Systems With Time-Varying Input Bounds
Author :
Combastel, Christophe
Author_Institution :
ECS-Lab., ENSEA, Cergy-Pontoise, France
Abstract :
This technical note deals with the design of stable interval observers and estimators for continuous-time linear dynamic systems under uncertain initial states and uncertain inputs enclosed within time-varying zonotopic bounds. No monotony assumption such as cooperativity is required in the vector field: the interval observer stability directly derives from the stability of the observer state matrix, where any poles (real or complex, single or multiple) are handled in the same way.
Keywords :
continuous time systems; control system synthesis; linear systems; observers; stability; time-varying systems; continuous-time linear dynamic systems; interval observer stability; linear systems; observer state matrix; time-varying input bounds; time-varying zonotopic bounds; uncertain initial states; uncertain inputs; Eigenvalues and eigenfunctions; Matrix decomposition; Observers; Stability criteria; Time varying systems; Uncertainty; Vectors; Error estimation; fault diagnosis; intervals; observers; robustness; stability; state estimation; verification;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2012.2208291