The problem considered here consists in decoupling the output of a hybrid system from an unknown disturbance by means of state feedback, while assuring global asymptotic stability of the closed-loop dynamics. The considered hybrid systems are characterized by the coupling of a linear flow dynamics with a discontinuous jump dynamics. Suitable geometric methods and tools are introduced and, assuming that the linear flow dynamics is reachable, a general sufficient solvability condition is given. A more restrictive sufficient solvability condition that can be checked by a simple, finite procedure is also given. This provides a practical way to construct solutions in many situations.
The disturbance decoupling problem for jumping hybrid systems / Giuseppe, Conte; Anna Maria, Perdon; Elena, Zattoni. - ELETTRONICO. - (2015), pp. 07402437.1589-07402437.1594. (Intervento presentato al convegno 54th IEEE Conference on Decision and Control tenutosi a Osaka, Japan nel December 15–18, 2015) [10.1109/CDC.2015.7402437].
The disturbance decoupling problem for jumping hybrid systems
ZATTONI, ELENA
2015
Abstract
The problem considered here consists in decoupling the output of a hybrid system from an unknown disturbance by means of state feedback, while assuring global asymptotic stability of the closed-loop dynamics. The considered hybrid systems are characterized by the coupling of a linear flow dynamics with a discontinuous jump dynamics. Suitable geometric methods and tools are introduced and, assuming that the linear flow dynamics is reachable, a general sufficient solvability condition is given. A more restrictive sufficient solvability condition that can be checked by a simple, finite procedure is also given. This provides a practical way to construct solutions in many situations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
