As pointed out in [7], provided a simple matrix equation holds for a given plant-compensator pair in closedloop, the closed-loop system behaves like a functional observer of a linear function of the state of the plant. As a consequence, if the plant output can be augmented by such a function, a static output feedback from the augmented output stabilizes the controlled system. Similarly, if a dual equation holds, a static output feedback stabilizes the controlled system with a suitably augmented input. In this paper the use of multirate samplers/holders to equivalently augment the outputs or inputs of the controlled plant is shown, thus making the technique suitable even if no additional sensors/actuators can be placed on the plant. The proposed multirate controllers are either static or asymptotically stable, and thus strongly stabilizing.
Galeani, S., Menini, L., Tornambe', A. (2003). A multirate approach to input or output augmentation for sampled-data static output feedback. In 42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS [10.1109/CDC.2003.1271969].
A multirate approach to input or output augmentation for sampled-data static output feedback
GALEANI, SERGIO;MENINI, LAURA;TORNAMBE', ANTONIO
2003-01-01
Abstract
As pointed out in [7], provided a simple matrix equation holds for a given plant-compensator pair in closedloop, the closed-loop system behaves like a functional observer of a linear function of the state of the plant. As a consequence, if the plant output can be augmented by such a function, a static output feedback from the augmented output stabilizes the controlled system. Similarly, if a dual equation holds, a static output feedback stabilizes the controlled system with a suitably augmented input. In this paper the use of multirate samplers/holders to equivalently augment the outputs or inputs of the controlled plant is shown, thus making the technique suitable even if no additional sensors/actuators can be placed on the plant. The proposed multirate controllers are either static or asymptotically stable, and thus strongly stabilizing.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.