Title :
A composite circle criterion
Author :
Materassi, D. ; Innocenti, G. ; Genesio, R. ; Basso, M.
Author_Institution :
Univ. di Firenze, Florence
Abstract :
The paper deals with the classical problem of the absolute stability in a SISO Lur´e system. The circle criterion is applied to different overlapping sectors and then, for all the functions in the ´union sector´, a set of constraints is defined, so that they make globally asymptotically stable the closed loop system. The conclusion is that in every sector, such that can be covered by subsectors the circle criterion can be applied to, it is possible to define a class of nonlinearities, which solve the absolute stability problem.
Keywords :
asymptotic stability; closed loop systems; nonlinear control systems; SISO Lur´e system; absolute stability; circle criterion; closed loop system; globally asimptotically stable; Automatic control; Closed loop systems; Control systems; Control theory; Feedback; Kalman filters; Stability criteria; Sufficient conditions; Time varying systems; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434762
